8
ClyIu3 E\ulric FIutDenri4! , Gouo,, Lo, ar,,) plverlace 3.1 Eleetric lr,u dosi*5 nalol cenduif\ :ph"res ddolvi" E + glct. 'dtll DL# 6tZ ut0,vt) q7e1 1tt7- ivl"l 4nt ;lr et12 2?lz- f,iDl 371)fl Ttiz- 4A+4 [luxzt elLl el--tri" .[],.,rr 18,) 4 do,'slt5 tandal tl Qla14 U\ t\l+el (tlx-i41 0itpbrl sll ?4tihl fitrJ 4>Ftet 7a,L \ Lktq tYu1o1 8"4(,11 +Alq4 $ntr+ ?Slct. 6lA+ %rEq'L ola-|f,c $w.41 ,lqcp, dulrlcAwel ,p11 tAlE 1tqtotl ulalil-l ulali]4L tolol. ?4 aqan iF{ *t+A.g,atl v[rl49z- a\44i lht x+ ol&4/ i Lnt c\*l a"J 7 tqL H+Arl:llL +\Leat i+ Qolzt- ++i R Etzbdd, (^1v<b dUI bl 471?, E?t/tq x1a)L +"1, MTt.,l +)H ai 44tvl olu 4ir,lL . r o 1,, E= )*ffiu d, @rct '4ttL bP.J:?lal A1)rtrct, €xonnle - r 7t43,gl\ ' .ltc68 Y - 44tl Qal 9{ Sz; r1cP. E=#*, q,l xq|,o,l @, nbt+ g,lct )f"trt , D= t",!{t, (. {a\r + qrr D=€"Es 7tfr|'t"lalt 4i bl?. th c1 44Ft 4H fYa+, Zfe, a1z; ltt t:,u,1 : -7q, lbt *..,. < ^i -7- uP L\tcl , I)= AL = 44\ 1|Pl t{qqt+ D?. 1>tzt L^c/*1 ae )rL p 7l- l)4 ub-- rf P: r-l

Electromagnetics 이성재 교수님bark10731.tistory.com/attachment/jk080000000000.pdf ·  · 2015-01-22Title: Electromagnetics 이성재 교수님 Author: 200702043 전자 박명철

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Page 1: Electromagnetics 이성재 교수님bark10731.tistory.com/attachment/jk080000000000.pdf ·  · 2015-01-22Title: Electromagnetics 이성재 교수님 Author: 200702043 전자 박명철

ClyIu3 E\ulric FIut Denri4! , Gouo,, Lo, ar,,) plverlace

3.1 Eleetric lr,u dosi*5

nalol cenduif\:ph"res

ddolvi"

E + glct. 'dtllDL# 6tZ

ut0,vt)

q7e1 1tt7- ivl"l 4nt ;lr et12 2?lz- f,iDl 371)fl Ttiz- 4A+4

[luxzt elLl

el--tri" .[],.,rr

18,) 4do,'slt5

tandal tl Qla14 U\ t\l+el (tlx-i41

0itpbrl sll ?4tihl fitrJ 4>Ftet 7a,L

\ Lktq tYu1o1 8"4(,11 +Alq4 $ntr+

?Slct. 6lA+ %rEq'L ola-|f,c $w.41,lqcp, dulrlcAwel ,p11 tAlE 1tqtotlulalil-l ulali]4L tolol.

?4 aqan iF{ *t+A.g,atl v[rl49z-a\44i lht x+ ol&4/ i Lnt c\*l

a"J 7 tqL H+Arl:llL +\Leat i+ Qolzt-++i R Etzbdd, (^1v<b dUI

bl 471?, E?t/tq x1a)L

+"1, MTt.,l +)H ai44tvl olu 4ir,lL

. r o 1, ,E= )*ffiu d, @rct

'4ttL bP.J:?lal A1)rtrct,

€xonnle- r 7t43,gl\

' . l tc68 Y -

44tl Qal 9{ Sz; r1cP.

E=#*, q,l xq|,o,l @, nbt+ g,lct

)f"trt

, D= t",!{t, (. {a\r + qrr D=€"Es7tfr|'t"l alt 4i bl?. th c1 44Ft 4H fYa+,

Zfe, a1z; ltt t:,u,1 : -7q,lbt * . . , . < ^ i-7- uP L\tcl , I)= AL =

44\ 1|Pl t{qqt+ D?. 1>tzt

L^c/*1ae)rL p7l- l )4ub--r f

P: r-l

Page 2: Electromagnetics 이성재 교수님bark10731.tistory.com/attachment/jk080000000000.pdf ·  · 2015-01-22Title: Electromagnetics 이성재 교수님 Author: 200702043 전자 박명철

3.1 Qauss,s

" Ga,,v;e h*7 r-,vJ lllnl

4+el

lat

Az.q\J

?elSvJ+, {.-tl )k €i{r:{d. .q4L

trPb?l 1t(1,

[i1:.:-l :s 1tc, tg| U'+zq 8,"r, 14

ulSq a+ a4 4ij ,i{ gti'l nE P4,Al44lZ I, ?f 4 q Fl!q74 btva f){ $f,c4?fi

al"clri" Auy,L A]1l= Dt Cltla9-- D.aS ulci.

el\lt sls&Z E>\ 8lr14.tr Z .{lwi V--{dt, "ff 4r=& 6l!,?

t= {,0,+ =

{,i, dS -- rdl4{i uiel ? {r4? : o okl

4e'l

(surhu cl'oqu)

v (vdr* c}"r5e)

al t*z.l<7 .\2)an

fod,

f,e,dt

f^,'' d

(pi* drtre)

( line clu'lo i

t Xampk, L! /z - i5 ( l et i l

6t+1. z 442 4rl EtI !=3xq 44el o, t l tc tn l t

ton0=3 , ,6c0=F 4*,Wat vr l \e"

laxlo/,c9c} = fvl, 4++z ux,/n")

--lo,94L,uc7 / t+r-Q 6l9t Uwtl\

I n4z to.f+trc1

ileo ?.let AZ * rwt 4)!-a tr4,1 1l\

tEZ r4'l ',!z 4?V. 684 ilcf.

4/deJ ldtqr, l4 wt

\r,qt ?t"l\ \

alrd? 4rlA n4+

--olyBEy1

v4a wta+tt

0.1l,uL/ral

l4t . t - ' ; - .l3)- l

Page 3: Electromagnetics 이성재 교수님bark10731.tistory.com/attachment/jk080000000000.pdf ·  · 2015-01-22Title: Electromagnetics 이성재 교수님 Author: 200702043 전자 박명철

3'3 Apylic"+["" uI Guro, lar, i 9vq' sJilll@tff@l 6laq" di:1t;!r-tt n,

ol\44 4rl btst ?S:,. 1l+L W4t 614"1 \r,tl A"Jll1

l. '41?,aL tJvA+ +i l,* d3 rl ntZ 44"lnl q;yy \qi Ete?kl

n,.d32 zl"l D,ds t\ D ol ztL+ i?t.

f D,,d E A4 0ol 6\tr 4z4al4 D,--M q.4i D,t- Al,lL vjez +q+e,^lt 441. Ttt:vl^\ Lq\t 48s1({,ds) onr+.

al) A4kt ,,"J v;arl CL

0 2?a+ 44e"" sW cbt44 rpJ 1nz lrf tj,r 7:*1(= D,'di=D,d,@ i"=doJ 1B llql4 0,4 ?$Z ahlzlct.

f /' - 'G=J,0, 'd;=, \b.dr= D,Jds= D,{7t tQt4"1 = +rLr 'D,

lo

"'" Dr=+r- alzli. +t/)c1l^l cJr;l9z ;t4\ vJ>boll7 lr , lr=#*A,

al) x1 ntet ft*"tet 4$l

F\z, j - t orWt ,1?d 14t l t " dwXeE 4i f ; t Zzle trttt /.|ftt

^t x rlr| /\Ei eH$tts)\l +Ez1a"\ol.

.'. Q= {,,n.at = D,f,,^dr r u !o,*+ {r*d,- p,x4E4 44"t -- D,nes

pr=rfr olcl. &=9,r- olez Dr-.%-: D;&d,

| 7.3 -l

Page 4: Electromagnetics 이성재 교수님bark10731.tistory.com/attachment/jk080000000000.pdf ·  · 2015-01-22Title: Electromagnetics 이성재 교수님 Author: 200702043 전자 박명철

6l) cpwiol ubl"

ull ,?.tq +del

$-- 2na p, L ,tta fa

6*

hu<=

\Ft6 a+lAt b l

&=)no€s

€szl >tfr

t 7l+L T!{c-

gtvtz-

a<e <b

&I

Ds :c9 L = 2rraQ, l- ,

D'=€ql (a<e,b)

vtlt 4ol4l ?lY4zt (t6l LlU.

lkdwXp.: l {Zt e". lzl

-o

4+". 7ai4 V+; l€ d=rr1cpsL=

alLL l,,e (k,X"?

P' L =& 7

4ft>+

hl?

eft qtaE tpJql 4tt2 4>ti4i.lvlt,. ei 4 ztn

- &=_rrcaPs,rL-_ xb gr,o L /

P,LL A",)del V$"lsl btvt'(,tl

uJ'Yrn4|ct.

e <a s'. e>L 4 4i 7nL

" " ' - o,>9ytt ,1 et v)4\ I A4ql

A) Y- o6^,awrel lL'. l=a,rr*"= ,q4 rtf)^Cln-l

_e 6lg? 61 6q1 4+Et?.,. €?," uu ,+4o1el

ili 44,"\i dt{""o\ t)lalbfzt 6l,L 4q!?4vl

v4 u,lel z 4ttzt6l oa\L\ET Qr--o alct.

Al Y=l,nql €s= )Lnclnl 9l alylt ET+Lq,vl.

utY-f 4)f+.t a)5Lt^Q 6le? t= #,r,d,

U Y--t"s^Mtw 1L1. ,)b.tzq#v4te4ileeL Dvt=,tN (y)'oqt,it[-]".' erl Elt Zbt"rl qLf Dt aUl6"l\a-et17 Z,l\AeyR.?, ")-vqt

',h_

olz Ze.. et+q fi",;(W^rffi+ z^rfr)')fr,Lrtr1 =glqd,(nc/*7

lt t-t

Page 5: Electromagnetics 이성재 교수님bark10731.tistory.com/attachment/jk080000000000.pdf ·  · 2015-01-22Title: Electromagnetics 이성재 교수님 Author: 200702043 전자 박명철

7.4 Aplic'+'on s[ 6ous't lat I dllhvettli"l vo\unz isv761'7

P 6,1,7)

---,1=T'. D""fu + \,,tx + D.,,t"9J\ =,,12y tq ?+i hl4 bv

al qil ?l+442 q$'l B.€

f*D'ac-- "rual AEc" h\el

f,,F'at= lu LUL

utq+ 4 4)

&lt4 4144

*[ . (

Ja )1

'-',14

Qol (

. (

)sr

?:

tef = bQ

Jil

. f o l7r,lztt,

f "' a4u qp tg,1a,y tte

D,* = [,'t ! x xr1 ,,,,6D,e1 q\n= W,"++# avu( ,

)q = (D.,"+i ff)tttz vf}l<l t)11,t tysr1t12 al;541 at/leL dTal tf+iftt.

olt1 ti qill;1 t4*11- n1ft r /sn )n' al

i " , r 'ae = (&o, iH. #)nt '1t :z 'aa

4. (n ' t ?z 4+1 4k i q.crbv v\,-t ltlt ts=(#tffitp)rv

aKav'ile i-- (sinya,t (e')as,!q r )Eie Lc/Ml e q flu^l lelq\,l lo4LM,

el iqt+d 4 4+?Pt Zttrti,,.

ff = -ttux,ff i - ' d*^1, $=t @,0,a) ez q@l;tP

(W, # -

#)1","^= ) , &W dv v\et 4 At&4 aBrL ,-xrv 'r0=) L'rcl

= Dr,r tXtzDq'("1,x)\= P, ' t

F"rj l .+-l

v.+-l

Page 6: Electromagnetics 이성재 교수님bark10731.tistory.com/attachment/jk080000000000.pdf ·  · 2015-01-22Title: Electromagnetics 이성재 교수님 Author: 200702043 전자 박명철

3.T Dirnrx^u

^h -:llL \AG= (-ov tff, ff i)w 7"14

6) + A+. b\ Z$\"tq ^'tL

a91

kt#,#)='g=4f ,,Lrlya\ 2,Jt4 dl\). E4'" EZLlct. t,

f \a'v+ane= !1" t*'h

tiXl.n-)

@,-+\?. ieeL flsl-t+.e\ et\vt t)toL

o\21 44;tbt il\tu)X tdts,t+iti

slrt Wtltke rtrtl)

Eet oEs

vr:t ob t\ tlz!=&iefo olcf .

Zt q4, \ l . t6-->4Y14>t

ldtq t"t lzviol v7p1 4q.x1zy4 nl42 Ewz 6dtl VtTdtttlfl,

q-d ov(l a.|

xl,4ty'"21a1t1 A? AS diveqerncei,

avn=ff, #,#iAtt"tl

fl6zluat

a<anrple

divE=

t ZX(z

'etth\l

D= €jsk$, -€@Xdt

Ek .Dh .EW -T.nT- -0i- -

4. ,14 ft4q14

1 etsirnl -12 =l

di,i L7

jlilnt uJhtdol tyb f

+#P r#WD+rW*.n- t akAl , t?-U dA"atuA= tP

1?- r -6n{ 'T;

?3 .' -l

Page 7: Electromagnetics 이성재 교수님bark10731.tistory.com/attachment/jk080000000000.pdf ·  · 2015-01-22Title: Electromagnetics 이성재 교수님 Author: 200702043 전자 박명철

J.{ l4otua1l [in+ qyi"+i^ (El."1r.r1o+t"s.)

$4 1+ dn+ri" {1,,t- d*ri1 D gl- dlvrr{t,r"re Fl cqrvl 4 L1 4!r\ L7

f : lnZ dtftl,VlL e)e*ri" I,ux4 4*t 4rt elt vCL

f"ds , "tt q4z 44e wl74+4+ tws +

$rA.A , vll l(tf. €ztt'1'" ,* 44kl $WiWh ttal [lws, oS;dy=do.

vl4- ,'14 \4\sl 4 oilzt

', vlL hl74 t-+letel 4>l?b4 \olZ *5 &r 'QAV

!1, J"o as = !:^ aQtv-o .b V o:vi t v

l l t tt ,*

dvD = Pv

.La I A); lt1- 1tV ; fo,ar=o

: Pu--L

exanlol) ,= +d,rdy "lzy 4

^ ev4. ?vtL

6l D=+ i" aeY t1 al e"Z i>VtL : p"= *q n= 2-0" + *\ -$t" 'l"l * a4 eu+.T', e"=$(t+*)

AV

I

/ \y ar 44\

13.Fl

Page 8: Electromagnetics 이성재 교수님bark10731.tistory.com/attachment/jk080000000000.pdf ·  · 2015-01-22Title: Electromagnetics 이성재 교수님 Author: 200702043 전자 박명철

3 \ tt* ueLlor aql\ar V ar& +. dir*Xune -ltr'euve'r

di,n= # a k , 3& tr, 41trq i.vJ r{t-1 Barq ,rtpt dttz

l+ze*1 ftlzl 'tj+" a19\4'" al t; r)tf vA?tet a[t'1. 16,1 ,t4141qt.,taf<t !:, rlclLrlf ftr{€ 1 qr-lEl 1444 444, v6EpL c.!)<E +rl I,l7)9 r1./l t

- - ^-'?:zt't

jV=u)$-n nsfor Dg1 rlo;,,1 :fF.' aivf | ' : Q.,t,\_J

V'D el 27c ir4<)cY 1, a?r,t= V,f = #, #i , #?)0,,?h*-ry

eldpJ\\at4 * Z AZ, , fi n" ff tu 24z1st iil;l.C z*t-4 v qrlit|\tAyq 'tvttt Q{i4 "14 v7 lltl "N"l !}l?,tsiel v1.,,t]v)t4 (rcdi,,t* CV,rl eI t>JL Vz, 4g)4 t),1o1 "i!")ict el4i.A V +el qadia-rt

fi{,i.rlt = Vt--(A*+al1-rt,+ d"*)+=m#+ ag $i,.-* t,4q+

lbLolLt

!.1lE4(,\ qeJ c):1et l\e1"tel V/d qlel uJklttr e)qrlal e)>! ;rl!

flJklall .]'lit rr\?l7tg divergen@q \tf|tU 7,!jlrl- t(l

' " " r1 ' f=- . r1G +z'-Cg V/,r l % 1d4- E x=0,2-- l t fo,X=t, l=a,s=1t" a?1,+"1 AzEJi\A Lnic.,j qL 4 4;l?bt'l

D"l < t*it /Nq qepV 1!qnyt1 4@l r:V!vlz<.$f&ri"fi ela,lri. Auxk-, ql,ev-L qqpt 111>1 14

{';,i' ^:,,[f!:' *; J zk['"' f.,'

tu d'u I f,r* "u

Jo q lerl{t\.e

Js'.de--o.Lo"*=(v.odu

Jva l ' * 'I Pu - d;'D= Y'$

rw.rt ffi, as = f". vsa' = J fJ' :e d'd5d6 = 1a ;1,1f i ' i - r