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Page 1: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

- 21middot(shy

-ltarM ll ampuaampbh~aumlAL ~

~u~ ~ tUsau ~W ~~~J ~1UdJ ~ ~l ~~~Lt liR ~ampk~~~ W~~~ jlLLvt dfJUl ~~~ tkt ~-~~_ ~~ ~J- ~ ~Pt~J~1- c ~ ~~ k ~~~ lUfMt ~LUtltk ) 4 lLt-J ~ ~l- ~ ~ Q~ eu~I~ ~-J k11hktlcn~ t4 ~C~~JJ~~ leIt~~

~i cukk ~ Jv ~ - g-A~ tbl A=euro)

~w-[~~)

Ace =-4tr~J (qcJ(t)=) ~(k~) ampx) (2 ) l~-J

Ll A - ~ ltO~A = - 411 T +-1- (J~ (J (Qlp) (m 2)c2- c - c (t~ ~

~ ~~~~ 4 ~~k~~ ~k tAt ~~ ~-A4 l ~ awh (A-szligraquo) ~-Jc~ ~ ~- U1 t(~) tJ~ ~ tJt Jz ~ (AAS) lhU- LlMtl- e~ ~~~Uu~) ~

~ e Ec-I- SoL ) Sc =-~(p S =- Z6 Cszr ~)

E-c ttl ~ ~-Utk G~~~SeU kt ~~~

~~ Cl ~U-t ~ ampb4 tl1~riet~ ~

~~ ~C = G) ~V r = () J

- ID2shy

=- T+i-E - - 4lf -e middot

tv ~=- 0 )-~ ~ ttL b ~(1tJl~ ~amp~

Sek ~ ~ ~ ~~ Met Ja dilillshy

~~~rh~~t~V~d~h~ 1ltit ~S~~~fu ~~(~ ~t bull U ~

~~ ~~WM~1uJ6- tk ~-~_ ~~~) ~ Vamp~~ db ~k14UMj

b~)) ~ ltL ) l(K~) ~ amp) C ~_~

kwt~~ ~t~~~ ampM ~~ampkh-amplaquoIAL ~

c = Er +-1 - -- -t

--amp~ Sc=- ~) tbv Ec=4laquo ~

~

dht E~ 0 ) ~~gl+~15-= 0 ) OD~)

~~ fgt -- 4lt I T +- 1E i ~ amptVszlig = 0 - c - - 414 - ) -

~W~ 1lu4~

Ec=-~~ ) ~~~-4~~

~~ et- 6 Jiv t 0 )

bA-- Alaquo (T+-~t=_ - ~j- C - ~--F c- ~-=_d A bull c c- shy

bullT=-Jt+~+c~-H

~ fMuL LtU u LltiUt i ~ l6-U ~~~ AA~- ~ i ~ ~ kt ~~ lek F u4- ~+~~ Wu ~~ Uc ~~~ ~ampL~wtamp h~~ I ~ h~ ~ ~ kak~lUlt4 -p~ rx ~ ~lh~ ~~~-amp_ ~~ cgt ouml~

1 Tc+P ) -rc = IX Ce ) 1i =C Ei

~ J41tltUt c0 ~()) -Pe = Ec (- 4lJ Pe -= ~Sc )

-bl = E- -- Aco- -p~ ~ euro E~ 6zIto)

~ OZf+ se~ ~ ~ ampk-U- h ~~~ ~ ~ ~ 1 JUs ~ ~WuL

~ ~ ~l- dwEc )

1 =-~ + Tc+ cl4ti (saAt1)

~ wJ a~ C~ t=~-14r)

- [l4shy

~~ ~c= ~) ~1c = 4lr~l )

dhJ SL =-() ~t-E t-1 i=-o ) -t c shy

~~ tt 41t( 1 4-1--1 ~D =-0- c -~ amp14 - l bull

--bc= e ~c J ~=f t ) t-ltS~ -=-lt1( 13t+--eJ

----1---14 S f

~middotjttJ~~ ~~ I~~l Qlmiddot4)~J CL ~ (i~~ I Ul~) ~~~~

(z)

Ulu1AdD2gtlUM- ~ ~~~v~Llteuro~ bull 3~y~ t)( ttt ~ ~tuA4ibh-olA-tt ~ ~~~ lU1~ r(t) r(z)

I~) ) Sl9 ~-(~ ~ ~ ~ ampv ~t~~)_ ~ ~UN~sGe~

l -= I)t-I(Z) I = Tb r 3) I TU) I(~J

z z Z-) 3 +- -2 ~ = ~- 2 bull

~ ~ V~~~~~~ 1- ~ 8 ~f~ ~

Tz==~+I4 I~+~=-I2 ) 20)

~ l4~b ~ ~k~ tt1A ~ CU-t ~ 4shy~ Fgt~~~~~~ ltge ~~ lt (~s~~~ (sectlraquo

NULt ~~ ~ (iIc~3) ~ tk ~~~ Wa-ff- Qu

000 l

-m~ shy~~~~)

lit) j)~~~ UJ~~~ ~~ cStJ ~~ ~ ~ Li ~ 5~=o se~~

LtOC) Auk ~ ~~~~ amp0 ~~)~ ~~~~~~ S=2 ~(qk ~ ~J ~~ ~~~ Jeuro ~~(~ ~~~~l ~~ ~c ~laquo- -g lXA~

-A~ fu AY~ (Jl) ~~~ 8~~ iD~h ~~ tN ~ sect]Jrs ~ ~h~ gbolAamp k~M4 ~ kA ~~j ~ Aumlt

~[2~3 ~ TA 1lt F ~ 4A 3 ~ a

~ tt4 ~~ ~~~ ~IJJ Aq~)O~~~ ~ (p (L4l-~ 4leurot~ lQ(J ~3-) 14b ~ tLL CLuA ~ ~2) ~ ((l4~

~J -nc= 4~i ) ECO= -~ (p ) Ji ~-= ltS

UMAuml ~~bu~~d y~= Cl ~~ C22A)

~~~~ ~~~ ~IIIY~

4gt r -= cp i 6tiZ2) ~t- uJ~

Jk~ 0 c4~~~r~~ ~ JU4 ~ Lk1- 9uAt~~ ~~ tUt ~ ~ ~ Lo~~ cr-~ lM-~ ~ gt0 ~ ~ ~f) Tjl ~ ~ tzfl- I ~ lMktt~(be~

-Ytszlig shy

j(=- T ~ (~ -z4)

~~dgt~ ~i ~ ~ ~eurou1 ~_OLuts~ lJ~middot~ lk~ ~-ic Jv ~~ ~~ ]t ~ ~ ~ ~k~ ~et II~ p441 LlJe 11 fttk~ Ja ~1et ~~ ~ ~ WALL~~~1 ~~~~i

smiddot_~ (Q -rl==CS-~c) amplt J~=-0 CS)2~

~ ~~~~~ 4kt ~ sect1[S~ tuaM M ~ ~ Ce ~ -r koJt r~ ~~ Juumlsshy~~ etW~ ~ ltLt1- futs~ ~~~J~~

2shy

~ Ce amps = CRI-~z -=- I = I~ middot CO U) -

C2 ~n zr- FA lI4~)C lt77 9-F 2 LWatk 2)

-- - -

I=- C v bull ) rJi2IJ

weMamp- ~ tM~w ~ )laquotl gt~-r1 ~~ WrA bAJlc~ ~ ~~

t

Ei ~ ((ctez )

~t4

bullCeAuml-~~-= -=k ~ -gt (Yt~

~ 4 ~ ~ltk~~ Ji ~=F t(L

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 2: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

- ID2shy

=- T+i-E - - 4lf -e middot

tv ~=- 0 )-~ ~ ttL b ~(1tJl~ ~amp~

Sek ~ ~ ~ ~~ Met Ja dilillshy

~~~rh~~t~V~d~h~ 1ltit ~S~~~fu ~~(~ ~t bull U ~

~~ ~~WM~1uJ6- tk ~-~_ ~~~) ~ Vamp~~ db ~k14UMj

b~)) ~ ltL ) l(K~) ~ amp) C ~_~

kwt~~ ~t~~~ ampM ~~ampkh-amplaquoIAL ~

c = Er +-1 - -- -t

--amp~ Sc=- ~) tbv Ec=4laquo ~

~

dht E~ 0 ) ~~gl+~15-= 0 ) OD~)

~~ fgt -- 4lt I T +- 1E i ~ amptVszlig = 0 - c - - 414 - ) -

~W~ 1lu4~

Ec=-~~ ) ~~~-4~~

~~ et- 6 Jiv t 0 )

bA-- Alaquo (T+-~t=_ - ~j- C - ~--F c- ~-=_d A bull c c- shy

bullT=-Jt+~+c~-H

~ fMuL LtU u LltiUt i ~ l6-U ~~~ AA~- ~ i ~ ~ kt ~~ lek F u4- ~+~~ Wu ~~ Uc ~~~ ~ampL~wtamp h~~ I ~ h~ ~ ~ kak~lUlt4 -p~ rx ~ ~lh~ ~~~-amp_ ~~ cgt ouml~

1 Tc+P ) -rc = IX Ce ) 1i =C Ei

~ J41tltUt c0 ~()) -Pe = Ec (- 4lJ Pe -= ~Sc )

-bl = E- -- Aco- -p~ ~ euro E~ 6zIto)

~ OZf+ se~ ~ ~ ampk-U- h ~~~ ~ ~ ~ 1 JUs ~ ~WuL

~ ~ ~l- dwEc )

1 =-~ + Tc+ cl4ti (saAt1)

~ wJ a~ C~ t=~-14r)

- [l4shy

~~ ~c= ~) ~1c = 4lr~l )

dhJ SL =-() ~t-E t-1 i=-o ) -t c shy

~~ tt 41t( 1 4-1--1 ~D =-0- c -~ amp14 - l bull

--bc= e ~c J ~=f t ) t-ltS~ -=-lt1( 13t+--eJ

----1---14 S f

~middotjttJ~~ ~~ I~~l Qlmiddot4)~J CL ~ (i~~ I Ul~) ~~~~

(z)

Ulu1AdD2gtlUM- ~ ~~~v~Llteuro~ bull 3~y~ t)( ttt ~ ~tuA4ibh-olA-tt ~ ~~~ lU1~ r(t) r(z)

I~) ) Sl9 ~-(~ ~ ~ ~ ampv ~t~~)_ ~ ~UN~sGe~

l -= I)t-I(Z) I = Tb r 3) I TU) I(~J

z z Z-) 3 +- -2 ~ = ~- 2 bull

~ ~ V~~~~~~ 1- ~ 8 ~f~ ~

Tz==~+I4 I~+~=-I2 ) 20)

~ l4~b ~ ~k~ tt1A ~ CU-t ~ 4shy~ Fgt~~~~~~ ltge ~~ lt (~s~~~ (sectlraquo

NULt ~~ ~ (iIc~3) ~ tk ~~~ Wa-ff- Qu

000 l

-m~ shy~~~~)

lit) j)~~~ UJ~~~ ~~ cStJ ~~ ~ ~ Li ~ 5~=o se~~

LtOC) Auk ~ ~~~~ amp0 ~~)~ ~~~~~~ S=2 ~(qk ~ ~J ~~ ~~~ Jeuro ~~(~ ~~~~l ~~ ~c ~laquo- -g lXA~

-A~ fu AY~ (Jl) ~~~ 8~~ iD~h ~~ tN ~ sect]Jrs ~ ~h~ gbolAamp k~M4 ~ kA ~~j ~ Aumlt

~[2~3 ~ TA 1lt F ~ 4A 3 ~ a

~ tt4 ~~ ~~~ ~IJJ Aq~)O~~~ ~ (p (L4l-~ 4leurot~ lQ(J ~3-) 14b ~ tLL CLuA ~ ~2) ~ ((l4~

~J -nc= 4~i ) ECO= -~ (p ) Ji ~-= ltS

UMAuml ~~bu~~d y~= Cl ~~ C22A)

~~~~ ~~~ ~IIIY~

4gt r -= cp i 6tiZ2) ~t- uJ~

Jk~ 0 c4~~~r~~ ~ JU4 ~ Lk1- 9uAt~~ ~~ tUt ~ ~ ~ Lo~~ cr-~ lM-~ ~ gt0 ~ ~ ~f) Tjl ~ ~ tzfl- I ~ lMktt~(be~

-Ytszlig shy

j(=- T ~ (~ -z4)

~~dgt~ ~i ~ ~ ~eurou1 ~_OLuts~ lJ~middot~ lk~ ~-ic Jv ~~ ~~ ]t ~ ~ ~ ~k~ ~et II~ p441 LlJe 11 fttk~ Ja ~1et ~~ ~ ~ WALL~~~1 ~~~~i

smiddot_~ (Q -rl==CS-~c) amplt J~=-0 CS)2~

~ ~~~~~ 4kt ~ sect1[S~ tuaM M ~ ~ Ce ~ -r koJt r~ ~~ Juumlsshy~~ etW~ ~ ltLt1- futs~ ~~~J~~

2shy

~ Ce amps = CRI-~z -=- I = I~ middot CO U) -

C2 ~n zr- FA lI4~)C lt77 9-F 2 LWatk 2)

-- - -

I=- C v bull ) rJi2IJ

weMamp- ~ tM~w ~ )laquotl gt~-r1 ~~ WrA bAJlc~ ~ ~~

t

Ei ~ ((ctez )

~t4

bullCeAuml-~~-= -=k ~ -gt (Yt~

~ 4 ~ ~ltk~~ Ji ~=F t(L

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 3: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

bullT=-Jt+~+c~-H

~ fMuL LtU u LltiUt i ~ l6-U ~~~ AA~- ~ i ~ ~ kt ~~ lek F u4- ~+~~ Wu ~~ Uc ~~~ ~ampL~wtamp h~~ I ~ h~ ~ ~ kak~lUlt4 -p~ rx ~ ~lh~ ~~~-amp_ ~~ cgt ouml~

1 Tc+P ) -rc = IX Ce ) 1i =C Ei

~ J41tltUt c0 ~()) -Pe = Ec (- 4lJ Pe -= ~Sc )

-bl = E- -- Aco- -p~ ~ euro E~ 6zIto)

~ OZf+ se~ ~ ~ ampk-U- h ~~~ ~ ~ ~ 1 JUs ~ ~WuL

~ ~ ~l- dwEc )

1 =-~ + Tc+ cl4ti (saAt1)

~ wJ a~ C~ t=~-14r)

- [l4shy

~~ ~c= ~) ~1c = 4lr~l )

dhJ SL =-() ~t-E t-1 i=-o ) -t c shy

~~ tt 41t( 1 4-1--1 ~D =-0- c -~ amp14 - l bull

--bc= e ~c J ~=f t ) t-ltS~ -=-lt1( 13t+--eJ

----1---14 S f

~middotjttJ~~ ~~ I~~l Qlmiddot4)~J CL ~ (i~~ I Ul~) ~~~~

(z)

Ulu1AdD2gtlUM- ~ ~~~v~Llteuro~ bull 3~y~ t)( ttt ~ ~tuA4ibh-olA-tt ~ ~~~ lU1~ r(t) r(z)

I~) ) Sl9 ~-(~ ~ ~ ~ ampv ~t~~)_ ~ ~UN~sGe~

l -= I)t-I(Z) I = Tb r 3) I TU) I(~J

z z Z-) 3 +- -2 ~ = ~- 2 bull

~ ~ V~~~~~~ 1- ~ 8 ~f~ ~

Tz==~+I4 I~+~=-I2 ) 20)

~ l4~b ~ ~k~ tt1A ~ CU-t ~ 4shy~ Fgt~~~~~~ ltge ~~ lt (~s~~~ (sectlraquo

NULt ~~ ~ (iIc~3) ~ tk ~~~ Wa-ff- Qu

000 l

-m~ shy~~~~)

lit) j)~~~ UJ~~~ ~~ cStJ ~~ ~ ~ Li ~ 5~=o se~~

LtOC) Auk ~ ~~~~ amp0 ~~)~ ~~~~~~ S=2 ~(qk ~ ~J ~~ ~~~ Jeuro ~~(~ ~~~~l ~~ ~c ~laquo- -g lXA~

-A~ fu AY~ (Jl) ~~~ 8~~ iD~h ~~ tN ~ sect]Jrs ~ ~h~ gbolAamp k~M4 ~ kA ~~j ~ Aumlt

~[2~3 ~ TA 1lt F ~ 4A 3 ~ a

~ tt4 ~~ ~~~ ~IJJ Aq~)O~~~ ~ (p (L4l-~ 4leurot~ lQ(J ~3-) 14b ~ tLL CLuA ~ ~2) ~ ((l4~

~J -nc= 4~i ) ECO= -~ (p ) Ji ~-= ltS

UMAuml ~~bu~~d y~= Cl ~~ C22A)

~~~~ ~~~ ~IIIY~

4gt r -= cp i 6tiZ2) ~t- uJ~

Jk~ 0 c4~~~r~~ ~ JU4 ~ Lk1- 9uAt~~ ~~ tUt ~ ~ ~ Lo~~ cr-~ lM-~ ~ gt0 ~ ~ ~f) Tjl ~ ~ tzfl- I ~ lMktt~(be~

-Ytszlig shy

j(=- T ~ (~ -z4)

~~dgt~ ~i ~ ~ ~eurou1 ~_OLuts~ lJ~middot~ lk~ ~-ic Jv ~~ ~~ ]t ~ ~ ~ ~k~ ~et II~ p441 LlJe 11 fttk~ Ja ~1et ~~ ~ ~ WALL~~~1 ~~~~i

smiddot_~ (Q -rl==CS-~c) amplt J~=-0 CS)2~

~ ~~~~~ 4kt ~ sect1[S~ tuaM M ~ ~ Ce ~ -r koJt r~ ~~ Juumlsshy~~ etW~ ~ ltLt1- futs~ ~~~J~~

2shy

~ Ce amps = CRI-~z -=- I = I~ middot CO U) -

C2 ~n zr- FA lI4~)C lt77 9-F 2 LWatk 2)

-- - -

I=- C v bull ) rJi2IJ

weMamp- ~ tM~w ~ )laquotl gt~-r1 ~~ WrA bAJlc~ ~ ~~

t

Ei ~ ((ctez )

~t4

bullCeAuml-~~-= -=k ~ -gt (Yt~

~ 4 ~ ~ltk~~ Ji ~=F t(L

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 4: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

- [l4shy

~~ ~c= ~) ~1c = 4lr~l )

dhJ SL =-() ~t-E t-1 i=-o ) -t c shy

~~ tt 41t( 1 4-1--1 ~D =-0- c -~ amp14 - l bull

--bc= e ~c J ~=f t ) t-ltS~ -=-lt1( 13t+--eJ

----1---14 S f

~middotjttJ~~ ~~ I~~l Qlmiddot4)~J CL ~ (i~~ I Ul~) ~~~~

(z)

Ulu1AdD2gtlUM- ~ ~~~v~Llteuro~ bull 3~y~ t)( ttt ~ ~tuA4ibh-olA-tt ~ ~~~ lU1~ r(t) r(z)

I~) ) Sl9 ~-(~ ~ ~ ~ ampv ~t~~)_ ~ ~UN~sGe~

l -= I)t-I(Z) I = Tb r 3) I TU) I(~J

z z Z-) 3 +- -2 ~ = ~- 2 bull

~ ~ V~~~~~~ 1- ~ 8 ~f~ ~

Tz==~+I4 I~+~=-I2 ) 20)

~ l4~b ~ ~k~ tt1A ~ CU-t ~ 4shy~ Fgt~~~~~~ ltge ~~ lt (~s~~~ (sectlraquo

NULt ~~ ~ (iIc~3) ~ tk ~~~ Wa-ff- Qu

000 l

-m~ shy~~~~)

lit) j)~~~ UJ~~~ ~~ cStJ ~~ ~ ~ Li ~ 5~=o se~~

LtOC) Auk ~ ~~~~ amp0 ~~)~ ~~~~~~ S=2 ~(qk ~ ~J ~~ ~~~ Jeuro ~~(~ ~~~~l ~~ ~c ~laquo- -g lXA~

-A~ fu AY~ (Jl) ~~~ 8~~ iD~h ~~ tN ~ sect]Jrs ~ ~h~ gbolAamp k~M4 ~ kA ~~j ~ Aumlt

~[2~3 ~ TA 1lt F ~ 4A 3 ~ a

~ tt4 ~~ ~~~ ~IJJ Aq~)O~~~ ~ (p (L4l-~ 4leurot~ lQ(J ~3-) 14b ~ tLL CLuA ~ ~2) ~ ((l4~

~J -nc= 4~i ) ECO= -~ (p ) Ji ~-= ltS

UMAuml ~~bu~~d y~= Cl ~~ C22A)

~~~~ ~~~ ~IIIY~

4gt r -= cp i 6tiZ2) ~t- uJ~

Jk~ 0 c4~~~r~~ ~ JU4 ~ Lk1- 9uAt~~ ~~ tUt ~ ~ ~ Lo~~ cr-~ lM-~ ~ gt0 ~ ~ ~f) Tjl ~ ~ tzfl- I ~ lMktt~(be~

-Ytszlig shy

j(=- T ~ (~ -z4)

~~dgt~ ~i ~ ~ ~eurou1 ~_OLuts~ lJ~middot~ lk~ ~-ic Jv ~~ ~~ ]t ~ ~ ~ ~k~ ~et II~ p441 LlJe 11 fttk~ Ja ~1et ~~ ~ ~ WALL~~~1 ~~~~i

smiddot_~ (Q -rl==CS-~c) amplt J~=-0 CS)2~

~ ~~~~~ 4kt ~ sect1[S~ tuaM M ~ ~ Ce ~ -r koJt r~ ~~ Juumlsshy~~ etW~ ~ ltLt1- futs~ ~~~J~~

2shy

~ Ce amps = CRI-~z -=- I = I~ middot CO U) -

C2 ~n zr- FA lI4~)C lt77 9-F 2 LWatk 2)

-- - -

I=- C v bull ) rJi2IJ

weMamp- ~ tM~w ~ )laquotl gt~-r1 ~~ WrA bAJlc~ ~ ~~

t

Ei ~ ((ctez )

~t4

bullCeAuml-~~-= -=k ~ -gt (Yt~

~ 4 ~ ~ltk~~ Ji ~=F t(L

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 5: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

----1---14 S f

~middotjttJ~~ ~~ I~~l Qlmiddot4)~J CL ~ (i~~ I Ul~) ~~~~

(z)

Ulu1AdD2gtlUM- ~ ~~~v~Llteuro~ bull 3~y~ t)( ttt ~ ~tuA4ibh-olA-tt ~ ~~~ lU1~ r(t) r(z)

I~) ) Sl9 ~-(~ ~ ~ ~ ampv ~t~~)_ ~ ~UN~sGe~

l -= I)t-I(Z) I = Tb r 3) I TU) I(~J

z z Z-) 3 +- -2 ~ = ~- 2 bull

~ ~ V~~~~~~ 1- ~ 8 ~f~ ~

Tz==~+I4 I~+~=-I2 ) 20)

~ l4~b ~ ~k~ tt1A ~ CU-t ~ 4shy~ Fgt~~~~~~ ltge ~~ lt (~s~~~ (sectlraquo

NULt ~~ ~ (iIc~3) ~ tk ~~~ Wa-ff- Qu

000 l

-m~ shy~~~~)

lit) j)~~~ UJ~~~ ~~ cStJ ~~ ~ ~ Li ~ 5~=o se~~

LtOC) Auk ~ ~~~~ amp0 ~~)~ ~~~~~~ S=2 ~(qk ~ ~J ~~ ~~~ Jeuro ~~(~ ~~~~l ~~ ~c ~laquo- -g lXA~

-A~ fu AY~ (Jl) ~~~ 8~~ iD~h ~~ tN ~ sect]Jrs ~ ~h~ gbolAamp k~M4 ~ kA ~~j ~ Aumlt

~[2~3 ~ TA 1lt F ~ 4A 3 ~ a

~ tt4 ~~ ~~~ ~IJJ Aq~)O~~~ ~ (p (L4l-~ 4leurot~ lQ(J ~3-) 14b ~ tLL CLuA ~ ~2) ~ ((l4~

~J -nc= 4~i ) ECO= -~ (p ) Ji ~-= ltS

UMAuml ~~bu~~d y~= Cl ~~ C22A)

~~~~ ~~~ ~IIIY~

4gt r -= cp i 6tiZ2) ~t- uJ~

Jk~ 0 c4~~~r~~ ~ JU4 ~ Lk1- 9uAt~~ ~~ tUt ~ ~ ~ Lo~~ cr-~ lM-~ ~ gt0 ~ ~ ~f) Tjl ~ ~ tzfl- I ~ lMktt~(be~

-Ytszlig shy

j(=- T ~ (~ -z4)

~~dgt~ ~i ~ ~ ~eurou1 ~_OLuts~ lJ~middot~ lk~ ~-ic Jv ~~ ~~ ]t ~ ~ ~ ~k~ ~et II~ p441 LlJe 11 fttk~ Ja ~1et ~~ ~ ~ WALL~~~1 ~~~~i

smiddot_~ (Q -rl==CS-~c) amplt J~=-0 CS)2~

~ ~~~~~ 4kt ~ sect1[S~ tuaM M ~ ~ Ce ~ -r koJt r~ ~~ Juumlsshy~~ etW~ ~ ltLt1- futs~ ~~~J~~

2shy

~ Ce amps = CRI-~z -=- I = I~ middot CO U) -

C2 ~n zr- FA lI4~)C lt77 9-F 2 LWatk 2)

-- - -

I=- C v bull ) rJi2IJ

weMamp- ~ tM~w ~ )laquotl gt~-r1 ~~ WrA bAJlc~ ~ ~~

t

Ei ~ ((ctez )

~t4

bullCeAuml-~~-= -=k ~ -gt (Yt~

~ 4 ~ ~ltk~~ Ji ~=F t(L

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 6: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

(z)

Ulu1AdD2gtlUM- ~ ~~~v~Llteuro~ bull 3~y~ t)( ttt ~ ~tuA4ibh-olA-tt ~ ~~~ lU1~ r(t) r(z)

I~) ) Sl9 ~-(~ ~ ~ ~ ampv ~t~~)_ ~ ~UN~sGe~

l -= I)t-I(Z) I = Tb r 3) I TU) I(~J

z z Z-) 3 +- -2 ~ = ~- 2 bull

~ ~ V~~~~~~ 1- ~ 8 ~f~ ~

Tz==~+I4 I~+~=-I2 ) 20)

~ l4~b ~ ~k~ tt1A ~ CU-t ~ 4shy~ Fgt~~~~~~ ltge ~~ lt (~s~~~ (sectlraquo

NULt ~~ ~ (iIc~3) ~ tk ~~~ Wa-ff- Qu

000 l

-m~ shy~~~~)

lit) j)~~~ UJ~~~ ~~ cStJ ~~ ~ ~ Li ~ 5~=o se~~

LtOC) Auk ~ ~~~~ amp0 ~~)~ ~~~~~~ S=2 ~(qk ~ ~J ~~ ~~~ Jeuro ~~(~ ~~~~l ~~ ~c ~laquo- -g lXA~

-A~ fu AY~ (Jl) ~~~ 8~~ iD~h ~~ tN ~ sect]Jrs ~ ~h~ gbolAamp k~M4 ~ kA ~~j ~ Aumlt

~[2~3 ~ TA 1lt F ~ 4A 3 ~ a

~ tt4 ~~ ~~~ ~IJJ Aq~)O~~~ ~ (p (L4l-~ 4leurot~ lQ(J ~3-) 14b ~ tLL CLuA ~ ~2) ~ ((l4~

~J -nc= 4~i ) ECO= -~ (p ) Ji ~-= ltS

UMAuml ~~bu~~d y~= Cl ~~ C22A)

~~~~ ~~~ ~IIIY~

4gt r -= cp i 6tiZ2) ~t- uJ~

Jk~ 0 c4~~~r~~ ~ JU4 ~ Lk1- 9uAt~~ ~~ tUt ~ ~ ~ Lo~~ cr-~ lM-~ ~ gt0 ~ ~ ~f) Tjl ~ ~ tzfl- I ~ lMktt~(be~

-Ytszlig shy

j(=- T ~ (~ -z4)

~~dgt~ ~i ~ ~ ~eurou1 ~_OLuts~ lJ~middot~ lk~ ~-ic Jv ~~ ~~ ]t ~ ~ ~ ~k~ ~et II~ p441 LlJe 11 fttk~ Ja ~1et ~~ ~ ~ WALL~~~1 ~~~~i

smiddot_~ (Q -rl==CS-~c) amplt J~=-0 CS)2~

~ ~~~~~ 4kt ~ sect1[S~ tuaM M ~ ~ Ce ~ -r koJt r~ ~~ Juumlsshy~~ etW~ ~ ltLt1- futs~ ~~~J~~

2shy

~ Ce amps = CRI-~z -=- I = I~ middot CO U) -

C2 ~n zr- FA lI4~)C lt77 9-F 2 LWatk 2)

-- - -

I=- C v bull ) rJi2IJ

weMamp- ~ tM~w ~ )laquotl gt~-r1 ~~ WrA bAJlc~ ~ ~~

t

Ei ~ ((ctez )

~t4

bullCeAuml-~~-= -=k ~ -gt (Yt~

~ 4 ~ ~ltk~~ Ji ~=F t(L

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 7: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-m~ shy~~~~)

lit) j)~~~ UJ~~~ ~~ cStJ ~~ ~ ~ Li ~ 5~=o se~~

LtOC) Auk ~ ~~~~ amp0 ~~)~ ~~~~~~ S=2 ~(qk ~ ~J ~~ ~~~ Jeuro ~~(~ ~~~~l ~~ ~c ~laquo- -g lXA~

-A~ fu AY~ (Jl) ~~~ 8~~ iD~h ~~ tN ~ sect]Jrs ~ ~h~ gbolAamp k~M4 ~ kA ~~j ~ Aumlt

~[2~3 ~ TA 1lt F ~ 4A 3 ~ a

~ tt4 ~~ ~~~ ~IJJ Aq~)O~~~ ~ (p (L4l-~ 4leurot~ lQ(J ~3-) 14b ~ tLL CLuA ~ ~2) ~ ((l4~

~J -nc= 4~i ) ECO= -~ (p ) Ji ~-= ltS

UMAuml ~~bu~~d y~= Cl ~~ C22A)

~~~~ ~~~ ~IIIY~

4gt r -= cp i 6tiZ2) ~t- uJ~

Jk~ 0 c4~~~r~~ ~ JU4 ~ Lk1- 9uAt~~ ~~ tUt ~ ~ ~ Lo~~ cr-~ lM-~ ~ gt0 ~ ~ ~f) Tjl ~ ~ tzfl- I ~ lMktt~(be~

-Ytszlig shy

j(=- T ~ (~ -z4)

~~dgt~ ~i ~ ~ ~eurou1 ~_OLuts~ lJ~middot~ lk~ ~-ic Jv ~~ ~~ ]t ~ ~ ~ ~k~ ~et II~ p441 LlJe 11 fttk~ Ja ~1et ~~ ~ ~ WALL~~~1 ~~~~i

smiddot_~ (Q -rl==CS-~c) amplt J~=-0 CS)2~

~ ~~~~~ 4kt ~ sect1[S~ tuaM M ~ ~ Ce ~ -r koJt r~ ~~ Juumlsshy~~ etW~ ~ ltLt1- futs~ ~~~J~~

2shy

~ Ce amps = CRI-~z -=- I = I~ middot CO U) -

C2 ~n zr- FA lI4~)C lt77 9-F 2 LWatk 2)

-- - -

I=- C v bull ) rJi2IJ

weMamp- ~ tM~w ~ )laquotl gt~-r1 ~~ WrA bAJlc~ ~ ~~

t

Ei ~ ((ctez )

~t4

bullCeAuml-~~-= -=k ~ -gt (Yt~

~ 4 ~ ~ltk~~ Ji ~=F t(L

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 8: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-Ytszlig shy

j(=- T ~ (~ -z4)

~~dgt~ ~i ~ ~ ~eurou1 ~_OLuts~ lJ~middot~ lk~ ~-ic Jv ~~ ~~ ]t ~ ~ ~ ~k~ ~et II~ p441 LlJe 11 fttk~ Ja ~1et ~~ ~ ~ WALL~~~1 ~~~~i

smiddot_~ (Q -rl==CS-~c) amplt J~=-0 CS)2~

~ ~~~~~ 4kt ~ sect1[S~ tuaM M ~ ~ Ce ~ -r koJt r~ ~~ Juumlsshy~~ etW~ ~ ltLt1- futs~ ~~~J~~

2shy

~ Ce amps = CRI-~z -=- I = I~ middot CO U) -

C2 ~n zr- FA lI4~)C lt77 9-F 2 LWatk 2)

-- - -

I=- C v bull ) rJi2IJ

weMamp- ~ tM~w ~ )laquotl gt~-r1 ~~ WrA bAJlc~ ~ ~~

t

Ei ~ ((ctez )

~t4

bullCeAuml-~~-= -=k ~ -gt (Yt~

~ 4 ~ ~ltk~~ Ji ~=F t(L

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 9: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-- - -

I=- C v bull ) rJi2IJ

weMamp- ~ tM~w ~ )laquotl gt~-r1 ~~ WrA bAJlc~ ~ ~~

t

Ei ~ ((ctez )

~t4

bullCeAuml-~~-= -=k ~ -gt (Yt~

~ 4 ~ ~ltk~~ Ji ~=F t(L

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 10: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

- ID oumlshy

~ = ) ~~ ~ (ll~y F

S~~~ ~~~~ ~ ~+- ~r

~~ ~- u ~ k-~ ~ ~~ ~ ~ ~~~tk lJ~~JA~~ ~~ 12JJAetlA ~

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 11: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

bull bullbull bull

bullbull bull

-Zr AAumlshy

lLLM kL ~~ ~ ~-A~ ~ ~ i3~ lJ-dUc

1gt~~~k~~~~) ft~~ iktU T( ~ 14 Jci ~~

Q(= ~-b-Ill)tt ~= ~-lT+szlighJ( (Vi~)J

~~~~

L amp( - 1lt ~~ 4- L( (SJA + Lb I2 ==U(t) )

CA

LU ampA +~zI2 +- L22-T z --L Q4 0 gt4

R3 Tz- t~-~3Q =-- C bull

0Zlmiddot38)

WJ ~~~ ~b ~~ ~+et klw~~ ~tJ-~~~ ~~~~ U4~ ~~~IL- 04 S$ wa- Jv ~~~be~ ~-~~ ultl-plusmngt~ -euro-L~~ ~~ (kJJ- C~~ ~~ JfM~ A ~~

1-tt) + 1( amp ~ L amp = U(t) GIlmiddot3q)c

b~ Lu~ML CU=O)ta~ ~ ~

Q(l) = (t ~AA- -l-q~ Lgt-b

~ IA = - 1lt tfGlt2ci tLG A)2_ zL ~

b~~~ UNl1- UL-l)= Uoet

iaMkishy

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 12: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

I b~ ~~~fui~~~~ Ltt ~ Lt (~53) ~~ ~ ~ ~~ 4gt ~~ lak L~ ~~ ~

lt shy

~cSe~~~~~~~~ ~~t() ~ tiPA TL fW~v (tl~l ~d ~ tLt ~+u~~k~F t1 ~b~~~ hkWtiJ- ~ (~~i()

4 t ~f24 ~ ~ ~= +6-6 ~~ ~~

cPL= ~ ~uJ~= ~ ~~~ ~ltr= ~ AJ~ amp14AJ F~ Fe 4

~W- llaquoa4 ~ef1 ~ A ~j~y-~ -Aumlj )

~ ~-eMteurou-t ~ I ~ J-te~~i ~~~ ~7l) ftJ A~- LtlttUc tUM (jJ4o ~ C$-si)

LI = 1- L A ~ tlltgtll j c 2 -J -) j

~~ WhY~l~ - T~

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 13: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-SIJ -3shy

~ ~~~~~~ ~-t J4ulet ~~~ EM ~eM t Jgtwu~ ~lU(cU-t ~ (~45) ~sa ~~~

T L 1I -i- r 1 A amp1 tTt U - ~ J= c J - -j) U 1

~~~~~~~~~J dA ~~ luo-- uuml ~-~ ~M ~ WttU JeC~ ~ Ul ttL tkJA ~ I ~~~S() tt1shylUlA (51a bull4Z)-

-= L ( f1 H + tiV4tr j r- -t J

~ ~kt~~~ ~-f-~ a ~ ampla-k Auatbuk u

til~ LA~ = LJ~

~ A~S vttca~ WLA ~

Lti I= tlr ~dctv ~ ouml (214)

~kU PJ)iJ ~ ~~~401eM~ LL~ ~11 sJJ~t-J -laquoe~~ ~ ~ Ll ~h~ ~~

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 14: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

~dt ~~ 4-~ ak-o k ~~b~ ~~ ~~ ~~l~wu- ~~ ~ ~ LYlA4) ~Tu~M

6 -= A- ~ L~tl i~~ c- J K -( l

~ ) SD ~~~ ~~ aul T t lr I- = ~ ~~gt) ~ ~jmiddoto lx tll middot (048)

J J j x-X

Ju~)~~ ~ ~(~)~= Ij~tLK) ) ~iC~)~ sk~amptltw (1(48)

~e

UMd ~1-~ audt

Ll = ~ ~CX)~i ~) flL~ ~ K -

~ ~et ~U1ktoh~~~ ~ ~l --bamp4 -W Ilfl- ud (in 2t) 1 = T f

k ~~ Q JfJA ~1IA fu ~~~4~) ~ (04 ~l-l)

i LI~ i- ~ ~JV = L lItl-lt (btllJ~ I~I 2- ~ 8tr~ k~ G

V~

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 15: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-JiJ -Ushy

~= lt3 CEc +- Sc +- sects) ~ S~ ~)

~~ u ~~ ~~te ~~gt l4-(- ~ ~~~~ ItV~41t 1 Se-l

4gt == ~ ~(~it)middot~ ~

~~ ~ 13 --~~~ tLc ~ ~6atl ~~~ uJ l4i~ kt 4 ~ ~l-~~~~ tt- lW ~~a4~ lt4kV]=o

~t(

~ cP = ~ ~ Qt~9-~ - 1EeE ~sV C)FtFt

~I- 6~E ~ = - (c ~ etamp ~ Inrf

~J=- q Csect -I- E~) szlig - ~ ~ Ellls ss-) qrt lto-Ftshy

Jltt ~~~ampw~ t4Auml ~ ~1et~ ~ ~Zshy

K uaA 1 ~-lth~) JA dAs~ Es 1gettA~ U4ti E~ ~~ Tt ~~ ~

2

- fEi- E amps - 1 b) ~ -s) - - lt2- ) 1

~ ~ -( ~ ~lt~ ~ 2 Uktr~~ ~amp ~~~ 4~~~ ~kt ~ ~ ~~ ctM~uJ ~ (]l53)

Sc--gt+-~s~O lu~~)

)~ ~0~ amp) ~ ES lUt4se~ie 64140-~ aut ~ ~~ ~ lAk 2t ~~fit~t w1k~ ~~~~~~~ ~

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 16: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

== - E(

)

C1 = - -L ~

c

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 17: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-yj t+-shybtLut~ ~ ~ ~~

S Sc 4 = ~ cb bull C2I~) ~

--2gt11 ~tLuM~ J ~ - ~ 2 ~ UlU1

z U= - ~ Sc tl~ (YiS-~)

A

bull U-=-idgt

c

( ~~~~W~ ~lu~ 6l-~ -tuM-t ~~ V~~~~)

~~ Wl4 ~ ~ (Q)26) Stgt ~fA- ctuJ

U= ~ ce 4 = T ~ lfJl~(2-7~)

-Jgt~ ~~ ~~~

IU=IR = - ~~ I

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 18: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-~~~-~ qa ~ ~ ~aUt~ ~~ ~-

~~ ~~ 1(1

lttgtJt) ) ~J~ ) (Vi 6-) F-t

~ ltt ~~ bl ~ hM ~ I dw-i

~~ I ~~ ~~ 1I ~~llteurot J~

hf- ~ (Yl~~)

~ 4I =- Let) I ) (yrGz)

~ hA ~k~~k~ksL~71a~J Le) ~~

S~J C ht ~~~ 2ei~ at1l~ 4Xgtr-l

~b c let) TCt) + ltPa(-t) (ll~)

~ m luL~~) Ua(t) = - ~ ~a amp1(4)

~ ~ ~L ~ ~WM-t~ ~~~~ ~ ($~)~~

LJ[t) = Utll-c) - L LL() ICt)Jcl- )

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 19: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-Sn~3-

Atltk~~ ~- w(U~

W~ (]2$) as-~ tAi4 t1tt ~~~4W~14 ~ OJilA ~~b~~ttk ~I ~ ~ ~~-E~-v~-~~Ac --) ~- = v_Auml_A (AI)_ shy

W~~~~~~ ~~ ~ ~+e~ ruJ JJ C~liJ- iJ~ uuumlW~ tk

~1 A =- 0 [AZ)

~~J Pt At ~i4 Llutt~ (n 4n Jl~ A ~ tU t + DA ~~ J ~ iA (t 2) lAMtuel eJ~~

JiA ~e ~~ eurotA~ ~ Uuml LM~ Wshy~~ CJr4UJ) lM~wJ ~~

bullACf +-~ tUl -6 = (tt ~ ) CAsl

~J tJr1 -A _ - szlig ~ +-C IULJ ~ bull

+-1- -Abullbull

- ~ c T G~middot~(j ()-- c2- - rJ

J4 r11A (k~~~ ~ tL~

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 20: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-2i2tshy

l1LI ~~ amp ~ ti1 ~l4 11f4JJuA ~ ud IM ~ 4~~4-rUuml ~

~-Ta = () hJ TL =- 0 (A IJraquo

~ ~I-- amp-tI oqzt~k ~ ~~~ UM~~

o()

(A2)

~ ~f) wJ (~A ~ ~

v cQ= 4tr J A43)- -0 ) (

tuJ ~J a)J ttwl (middot6) lu (ttn

L6-- Qr--) 6- = - 4Jt IL middot 014)c2--C C

~ tM-~ tU ~~ ~~ ~ Getamp~ tlJd sect

~ Stt i4) sect1 t

E =r _JIJ JE ~-~Q 6 CAmiddotsJ-l - f -J- C Vi

~ ~~ ~ ~A rJt ~~

= ~ ~ l ~~z-)Jv= ~~ (5~+-l~JV+ ~Ss~JA jtt at~kTAut tfi ~ (flS)

~ SEZ-tW= 1- (VCfgtI-zw = _L ~ Ci NttW d (CI ~JJJ ft - ) ~ z )

_ 4- ~ MI t~() bull - Z- l~-~(I

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 21: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

- sn 2~-

jl~-~friktt~ Auld ta-~ ~rA tkt ~~~ tkt ~MtW~~ ~

J124 teA~W ~ie~~ 4J~ WO-~

N = W--4- lk~4~ ) W1= ~ ~ (S~+-~Aumlv=~S[fz8-l2A 61-JN

((~6)

~~ auA ~ ~ ~kJ[ amp tltt ~~ltll~ d44 Jt~~k~ ~~ ~J~~

~~ ~~ ~~ Ve~41~ ~ ~~~ ~tM~ A1tte

TU(~~~~ ~ UuewM~ ~~~ ~aszlig~ DtlWi ~-cl Jtt ~~ ~ k~ cu4- 1[5 ~~ ~~ ~~~ ~ ~~) ftatu-t ~~ ~ btwUt

=-~ (Q - ~~ ~ CA ~l-)

~~ (~kt~-~) ~ A ~1tuil Qti4t ~~ CtA~) 8~ ~_ ~Se

Jw ~ ==- A(f ( 4middot48)

~ UWt UMA~~ (p ~ ~ tampiSset ~~~ (tW~ ~uw~) uw( ~=~-~~ sO~ ~ ramp ~~ tUv~== o ~~ ~e1l- ~ Ve~~ ~ UNt1 lt-~~g ~ o4e ~~4~ (tA~ til- ~ ~ (Amiddottt)

t5 ~~ ~(p

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-

Page 22: t4 cukk Jv - vertigocenter.chvertigocenter.ch/straumann/norbert/Elektrodynamik-Teil-6-N-Straumann.pdf · - 21·.( \-

-~zz-

4gtL~ = - i- r kv Ylc e4=fr j ltth~ X bull

111 lX-t(l

~~~~E c4 ishy~~ ~( ~ =~t-1 = ~~

~ 1 buiWt aiA dlv g = 0 ~gtt24iA irfJ

(A2r)

2 fuMoumlb1 t1uuml eWt ~ (ltl+ l( tu- ~ =~~g

~ == ~ CI i- ) ) lv 0

~(~~) -=- Vbv~) ce + 1 fJVd w ~

~ UM-~ ~I~C~ CA22gtr f) Il--AJJ tJ-v=-o

)12-- ~ LllJ- 1 1- ~4L) JIJ ~ lUM1 ~ ItC~~

~ ~ 0 = (llc~l +- 56)-fQ-I~J ~~~Wk ~~ 1U1~ (~-u~ ~lbtlaquo ~~ tUtJ ampwt~ (Amiddot2215tgt ~~

)~ltl--ampZ-~ J = () --gt ~ == ~z =7 ~(J=trJfIz

kt ~t lutl ~ fJMJ M ~k~ ju Ji ~ ~l~) fJei+~ ~ w~)=-~~~ ~ tlwll~) 1 -I-~~ ( ~lJ(~) ~( ~)

41r - l~ - K11 -4tr lS ~ -)( - sc I t-