h --';) h cr-a (D) -+ U h ( a) ~ o ()o (0) + <S"'h ( 0 ) + Po(h /2) Sp C>t... c) c\ >< e.\ \\:pov,uos ... (.poi)t(c

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Download "h --';) h cr-a (D) -+ U h ( a) ~ o ()o (0) + <S"'h ( 0 ) + Po(h /2) Sp C>t... c) c\ >< e.\ \\:pov,uos ... (.poi)t(c"

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1 ,, ΣΕΙΡΑ ΑΣΚΗΣΕΩΝ Νο. 2 ΗΛΕΚΤΡΟΜΑΓΝΗΤΙΚΑ ΠΕΔΙΑ Α, ΑΣΚΗΣΗ 1: h --';) E ();::::-o E" -r-----"su. r- S1l._ \ X _L..,.,..." 1- tj=o -- \ 51 E)" (J,-Sa cro 0 P ';;)p 2Jl + =: 0 -) h cr-a (D) -+ U h ( a) o i! ()o (0) + <S"'h ( 0 ) + Po(h /2) Aul.o "1':"D,:t' '0,...,-,-," ','!! nqh, c:, <.popt!o D 'L J ( /', l "1: pcvoool ( '-) , 0 _ \ (" 'r\/\ec'fp,.(o \leolc 6"lO e.\ \\:pov,uos r C" ) \.)}'"\ A\ OCc::.t \ (\\'f>civttn G'D5 \ t 'r'fls...,cl lipfi'!! VD! nat::i",.t:.'s. -<"lh }Jovll'-'n, tbuj'ttp1uo L0.s ""Ul'tp OnD 'l.,-' (.po)t(c \<o."tob't().('r' \ hac!kos 6\" 'le:. <,co" f-'0v,,,,, bl.)vo8lu t x:::: 1 J 0 U ()/ },""""MO opri,:::. 80. h lap 6 6f" pit. nptrl' Vex &((:lvq.p'l: cr0 ( t -,)\Xl) =- p,,:,, t!"a\.l (Jh (,t:tj (-l- ()tl):::= E'L.lHP'; - t, j.;r;jv ' t Sp C>t... c) c\ >< JC C\ 0( U.'O " (i-oe) 'to.!voj - E;C. \' f.jf\clvlio(o Enof';""s l0,il.po,(.u Q 1:<>i: ( A'\ N <,,,,Ve'" t::.) / 2.. 'lns fia\( -=:

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3 ----ti.1, koj. OQV:::''' i! i -f''c (<Xl) ( {- e )!! 2 H \ = j+ +[cr-.. (0) -1'5"",(=) ] r (2:'(: L.. t r -:::. - 0"'0 (0) - 15 k (0) e- t/t! A o i 2"[... Lx [ C)o (0) -0",(0) - e:) [- d 0'"0 l e- t.it _p", lx dt h 2 X i J"! 'r"tr \1 ()a ( t -) ) o(l ::;" er (00 ) o [ u() ( 0) 1- <Sh (0) + e;-j 2 vh ( to -i 0<;») -:::..l CS-t-,. (00\ - [ (o (0)... t;;". p c>(" t ) = a \ 2...::. \{.Ci..\ ::J ( X'" t--) 06 ) =- o....,(o) "" Poh l T...J, «J ap"t! ex"

6 ne'a A <at: ttc( 1! Eo y x 6) (Ot) Tc np6[3ati ta CX ovclotq...\ 6Tnv fnqrlt')(1ia. 'twv 3 nprvvj- "t',wll: (o),q [xo\jv UU?lvSP't(r) 6'Uf-'P(-rPlCf) + + t;\ 0 #1 #.3 r1j po. E,.-- '" YT < 8 rrl 2.Eo lj<:u 1=1= rf' rto"7 a ;(ebrt

7 1T'pof3Anf-4'-l. 2: 2 " L.rT2 2 :::,A Trf!3AnpQ 3; Lr,..2 'T'2 (-po) (-Po) 2 Y"T2. r T 2. 0 rt3 21TE'o r T3 r T3 2 A 1\ 1\ ii - F'x '2..-t-) rt' LX Cos cp +,>, Sn l' A X A Y Y'''-2 - x-x 0) + (Y-':Jo)2..1"2, [( 2 - Lx Y""lj +ly rr / r- T 2. ' 1\ 'LVT3 l rt2 A + LrT'l. /' r.,..., po /\ b 2 ( -p::j /\ ),0 - 'rtf + L rr2 lr'-3 E -, ESW'tf \V\<::l 2Eo 2 Eo Y"n 21TE'<) t;3 uc-\ ana, C'ChJ) 2- A\'v vs, (rtf i>cl 'r"n>6)

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9 110 -T b"?po X-Xa 2 \ ( Y.. _)(.,. ) '7-+ (. >- -y", ) {

10 (t3) r't :::::: k C Xo 2 --+)10 2 ) 1/2»' a rt:= k R<o Ra::::: (Xo2+Yo2) A l'po /' b 2 (-P.J 1\ ).0 E r'1 + rt ,3 2 o r.,..., 2E:.o Y''T 2 2rT3 ' 1\ 1'\ A. LrT) -= lr"t2 :::. l r1".3 = , did La( Gn r LAO. ("\dvw 61'nv Qt....) A a'po 62. po Ao E":::. LrT + 2Eo Ro LEo (1 ) 21TEo(-1) o 1 t a 2 2 /' po b po L y, -+ /' ';f:> l:r:r 3 2Eo Ro (-)Ro C-) Ro " b"po J "-rr + 2EcRo {< -1 <--0 b2. po f< fc. -1 -?to fir- "k _ 6 p.. - :1:./.,, := o k '82. po d tr'a po

12 6EHA i ; (0) #1 fj 2 #3 '--"v---j FO gj-po a. + + Ao Q.W 3 -->. /\ A )Spa dx x< _ Po d E LX (-1 - -Lx d.. 1 J/z. _4 E lx[r+) f ::,dx - ' -d/z leo ZE Q J/2 fpecf -{ A <X:-( r:> X 'X :>.4 -dh A po " f'o LX LX - lx x :LEo o /\ Lx po d 2 ;leo J )( Lx [x+ d _ (Lx :U: 2 2. o

13 roj E 2 C05 - n 0\ '3: -!>. /'. ), Cl E3 - 'rt -- onw<;,: npon60\jrgws x < - d "3 AO X 1\ '::J ' ) + -- X [ + ;> 2 'j 21T o X 2 + ( j -':1",,) "2 --" 2 PO :x E= 'Lx [ t _+ PO a O ) X +(j -y",) 2f'o 2Eo 2nCo X2+(j_8)2.', (': i.'"'.; ('.:A '" :)-\) /0 lj [- + J : t: ;) 2TE", X + Cy-}<:.? J + ], :::J - ':10 1\ ----Y. )? +- -:1", i J d d '.2 ;;- < X <.t-. >a +

14 '" po pq" ( _. ">...;,. < 1\ ",. Ac x Lx X + L- Eo \ 2 X 2 -+ (q _" )';'".J _l':':., FcJ "[ A,", 'J f ( ) ] L 'Z ( 2nf x + ) ] + /..." <x d 2, Lt'J' (T <8 ('" f<;' C- b'7y1 1/ LuJ v 21p' <-1 :A c) '>'0' 'C" "C'C>! ) -'" E " ( Po ) f", f't ( X 1\ ;)-Ya A ),,\0 LX x - ''1 + ( lx+ 1)1 i"t :::: _X -+ C:> YT 21(('0 (2- t:'2 ' J 2E"" T T [ [ po X + (- x + E" 2n (,,,, ) + + x > d z E J + () r\d{ X= MO-t. >C:l :> \-"" >3 '? -!o. /' 'd- Ao '1 E 'y ( + -- ) 2E<::> '21'1(0 l-y,, 6U\lT (\ ( (;;, n', - _ 0 ::::.::::/

17 / A'", H1:H Lf-: '---r CflCfl 1-1 JUJUJ JWW : UJ (J) ::--, 00 GO N (01 ) <:: >i =::::, C'3 To f-l 0bYr,\\ VO fle()"o npf\u vo. t:v ovtq.o't:f'\<:u 'l'n) Al{)ov. =0 a) v C-A. o.s o H= -' H= no o.c::'z< r-<. ej-v r T < /R 2 _z?' 'l:'cl: c<po-rov Of \ \;l, pvl' \.LOv i \ ().. pw\"o... ApD.. H (r"t, ) - 0? r,c). S v O<.'t.<R ft "';;P JR"--e2. ---r H. J.Q. J,c:\S' -=- - i. Cz- S2. H ( r" Co) '= itl'"t

18 i<o 9,J1o <o C,3 'i:0vo 'V' 1oV"(Q : H -- 2nr Z>R. r - " l VR 2 -"l.'2. 2.nY", 0 o<"l<lc. r T < JRl.-c2. 0 c<o \ n trl1lfcl.vi,.,q.un \"1(J(VOTr\TQ pwtjqos t'touw 6\:"0 6<po<.lf<lUd ('(v'fa) Ln X ( H( r = R -+ ) - H(t= R-) ) - K R ::> ;\. --» /' K p - r )( l \ (_ ) -C) -c"/ (0<8<11/2.) ' (- 2 R Sl'ne ) 2n R-s in8 \(/< = - Le -) \< R - - "Le J T 2TT R (S:Y19) Op\o..u 'ruvelntlr' f1clvw 'a:l tn\i''1ls0 " ( x 'l) 'L R /c==.o) t' i""t / R. A n X [H - (ft, :O+) - M ( YT ) "t::=. c-) ] - - 0 (- 2rr) ] - \< > - -A A :r!'. 1< p - ri (- - ) =- r.,. "=' ( ::::- 0). 2 T1 rt 2T1 r T

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