il e^f i *, {i, /r-stte/phy217f16/lectures/wk10.pdf · b(e) ,

6
5- \ d = hg i -) '= f "E^F I ,t J- r tt* '4; vza pt*-< src(a 4,L ctl )ryL 7 T (/+',rs c+r*v claakwe x4 iL V "/r- = = -lut 9 n (-bgl ) *, {i, l, Grr) z boFo-,t aZ t,g* ],* L -r!^i, ,i ^( k*^) -",I ,a i^ G1;) v-4 cc*b'14, t*^ Jdt- E,./z ,*t ,t-,qr,* nl& d*,,eu( br\+^f ",lu,rs k*^vp ,vJ halfr+,t ^/A "-5 a- fi> -rk:_ bZ\fot _rrL ^a- 'qt 9r* =-Z c1/' /z- r n\ /] tb ) Jdt 4y

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Page 1: iL E^F I *, {i, /r-stte/phy217F16/lectures/wk10.pdf · B(e) ,

5- \ d = hg i

-)

'= f "E^F I

,tJ- r tt* '4; vza pt*-< src(a 4,Lctl

)ryL 7 T (/+',rs c+r*v claakwex4iLV "/r-=

= -lut 9 n (-bgl ) *, {i, l, Grr)z boFo-,t aZ t,g* ],*L

-r!^i, ,i ^( k*^) -",I ,a i^ G1;)v-4

cc*b'14, t*^ Jdt- E,./z ,*t ,t-,qr,* nl& d*,,eu(br\+^f ",lu,rs k*^vp ,vJ halfr+,t ^/A"-5 a-

fi> -rk:_ bZ\fot _rrL^a-

'qt 9r* =-Zc1/'/z-

r n\ /]tb ) Jdt4y

Page 2: iL E^F I *, {i, /r-stte/phy217F16/lectures/wk10.pdf · B(e) ,

5.tf i

T

,/n,

i'

8)

r\FGI E ,* pr^.4 tr o* L cLt,s Lr-_a, srt".,t

, &.*,: [.#^ {: u; {,r*", o- I 6 "fu t*tl+ eq,vv,rT T _

f

t"* c*nuu[* tuf dt

EtD,b:o,fru L ,)L

fr-

442-,

,ttl fuJ /* fie(d * A6

'> a?^n E-) 3/'- 7

I fu/ * hf ,^t Jd-idf Z, Li ,r,zrtt/J furrt<

Era>= ry.+2r' ?- ln=r 0^?')1"- o

fult frr*. s,/,0"*,,1- ( for(, /.4t- u oL.lr"^y' 5,, fu;l el TH. fu e,,u.,b, -hy k ?-- -7, L'q*l^

3ra)= @ rN (q )+

- [-u'* h-ry)1"-

D"# hr" & = P \-5. -t t_ n,--, ^/r ,+ 7-T = 4f ,r (6-ru') a 4 t^y{ itr'f--'. 1"" o/r1= Fd6-

s",.-(Yr -l['<: rt t.v--'-{r ( ?'* G-^l)-)"'

: -.' lt&

Page 3: iL E^F I *, {i, /r-stte/phy217F16/lectures/wk10.pdf · B(e) ,

-.)B(e) =,</U

-)n,uu \_Z a l.J

2-

nru r^iz

^4a3'"^"V-,:? S

O1

f*Rl-J s',*tfto,r St

J 4tsrngto

e.(- utu)u:/\=ry1:N

L

RA ( at 9, - cta*t \

fr c^,1^ W Si&^4'A 0z =O , 9t -'i(

t6:- ryu (n- t,l)f/,rrfg6n e* a"*ivJ-1"^ C's L ) e

= y'oLN>-

ar+. -> lT/ , -)oOcls t-

or-z a^) A+ "o

rI

z'

Page 4: iL E^F I *, {i, /r-stte/phy217F16/lectures/wk10.pdf · B(e) ,

(r- l"t€-

a'' -)l-fr m|L''out '*ry'

^

J,,(/-ryVu4 dlft+nt LU't1,1-44i*; tL

Rl sy,uattl irfl

Eu)ul*< /L,y*rt,( rc.6!-,,,. f

'4r

[ ^u r +, Br"\? = zu-rB(r) : /o J,u,.,-{

0

'- hb'l tu-'"'ur* i J-. --.s \\ A|,",l*gEff\=B(r)f

L* r^ qa u,Ar L"

fJ._>b dl.,EP

4 7+ u4-,v\n*r fuux,/ *.ttt^(, -i&.r^/;

T.^,r =o tle-.-1 rL,n/ {.\

" _-rT*d = f- 'f >tu

t) auvw* /-b,L*h/

iN wr** 4*,t,

{= k'\:" 'zT-

l^"f-"\,------+'

a,,a, ""t 6rtr^q.zr J'a" ra

"dt*"/-4 ,lrrk t**"/ nYL tu/ er -s,rr/,.u2-'-J/

2 dri)' C o -c<d-)

/Eq s>Lt 2nr

( (/ cr1L,"U;rQ :,^rLJ d-wAi<U

t' . -f h b-l uurryrfA'6 -) Y

e ffu u,*/4q(t .; : zTtk l"r".a Zrkf =t

1o fr= 7k

Page 5: iL E^F I *, {i, /r-stte/phy217F16/lectures/wk10.pdf · B(e) ,

?J-

_Y_ ,f( a,', (arrr' kr'JJOD

1:

kr^

tr

\*=$,)?),^'

(*

/1lE4L zlrc

t 2d-

rlu )

t Ac,*(

--?L-r,-t-/ 2

N*ro: ztl1{ fJ

b

r4u

'a

-- zli h f' ,n ' r"'iJ0

L(t)'= zt1. l? T \.3{ lzfoz) "

= Naarz /-\t:7z:TT &z

r )4-

drr) =

Page 6: iL E^F I *, {i, /r-stte/phy217F16/lectures/wk10.pdf · B(e) ,

I --Jfrls I B A wwi (r6*-n,

SIB =

f$nr'); =

e b,,t' H*'f fr - -i tdr 6) u t:L .n <r,io- pl k^-kl {* I

Sa

- LV, (ixT)

-L c f- i "r)L'; ab!-^t B^

_{2 tfr;j tr".{^ % rd l}.,.

-{ | !u \^ -sc* s;*J

t'Lsr:Bj f; s, I_r f

-LCLJz

VxA=B

LLSr | \ Br= B^ )i fr

Bo., I;o = .* *;o

jz-- jr, = 3l=l J

t-

[-z$ \ = B,

+!^Bi+!tBt== y0i

No ,t{,. E = -{tr aw1 V)a fr ""0

Ilb rwTISaabr

I$rti ) Lvvi frttz , ear., oht z.US ar/rl /Es

cy, l; d= BB tL.,^ -fr - itrD)= -{ y ri * {xBgel+ara

,-5 ,A, =

cf

)= {^VB ttu^.>..>/++V) = -lV B1+cL,o<< A = -*xyP

-.,tr\ , zy g'i

J.*sl +* I ei5/*..- fi r

*B I