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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
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){ $f,c4?fi
al"clri" Auy,L A]1l= Dt Cltla9-- D.aS ulci.
el\lt sls&Z E>\ 8lr14.tr Z .{lwi V--{dt, "ff 4r=& 6l!,?
t= {,0,+ =
{,i, dS -- rdl4{i uiel ? {r4? : o okl
4e'l
(surhu cl'oqu)
v (vdr* c}"r5e)
al t*z.l<7 .\2)an
fod,
f,e,dt
f^,'' d
(pi* drtre)
( line clu'lo i
t Xampk, L! /z - i5 ( l et i l
6t+1. z 442 4rl EtI !=3xq 44el o, t l tc tn l t
ton0=3 , ,6c0=F 4*,Wat vr l \e"
laxlo/,c9c} = fvl, 4++z ux,/n")
--lo,94L,uc7 / t+r-Q 6l9t Uwtl\
I n4z to.f+trc1
ileo ?.let AZ * rwt 4)!-a tr4,1 1l\
tEZ r4'l ',!z 4?V. 684 ilcf.
4/deJ ldtqr, l4 wt
\r,qt ?t"l\ \
alrd? 4rlA n4+
--olyBEy1
v4a wta+tt
0.1l,uL/ral
l4t . t - ' ; - .l3)- l
3'3 Apylic"+["" uI Guro, lar, i 9vq' sJilll@tff@l 6laq" di:1t;!r-tt n,
ol\44 4rl btst ?S:,. 1l+L W4t 614"1 \r,tl A"Jll1
l. '41?,aL tJvA+ +i l,* d3 rl ntZ 44"lnl q;yy \qi Ete?kl
n,.d32 zl"l D,ds t\ D ol ztL+ i?t.
f D,,d E A4 0ol 6\tr 4z4al4 D,--M q.4i D,t- Al,lL vjez +q+e,^lt 441. Ttt:vl^\ Lq\t 48s1({,ds) onr+.
al) A4kt ,,"J v;arl CL
0 2?a+ 44e"" sW cbt44 rpJ 1nz lrf tj,r 7:*1(= D,'di=D,d,@ i"=doJ 1B llql4 0,4 ?$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
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
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)
<4 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, $=t @,0,a) ez q@l;tP
(W, # -
#)1","^= ) , &W dv v\et 4 At&4 aBrL ,-xrv 'r0=) L'rcl
= Dr,r tXtzDq'("1,x)\= P, ' t
F"rj l .+-l
v.+-l
3.T Dirnrx^u
^h -:llL \AG= (-ov tff, ff i)w 7"14
6) + A+. b\ Z$\"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
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"=$(t+*)
AV
I
/ \y ar 44\
13.Fl
3 \ tt* ueLlor aql\ar V ar& +. dir*Xune -ltr'euve'r
di,n= # a k , 3& tr, 41trq i.vJ r{t-1 Barq ,rtpt dttz
l+ze*1 ftlzl 'tj+" a19\4'" al t; r)tf vA?tet a[t'1. 16,1 ,t4141qt.,taf<t !:, rlclLrlf ftr{€ 1 qr-lEl 1444 444, v6EpL c.!)<E +rl I,l7)9 r1./l t
- - ^-'?:zt't
jV=u)$-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