HW2solutions - 50 kc"0 n ECE604 Homework 2 Out...

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Unformatted text preview: 50 kc!- "0 n ECE604 Homework 2 Out: Tuesday, January 20, 2004 (Session 3) Due: Tuesday, January 27, 2004 (Session 5) [Students with tape delays: due according to session number] These problems are from of the text by Ramo, Whinnery and Van Duzer (3rd edition, 1994). 1) 1.11c 2) 1.11e 3) 1.12e 4) 1.13b 5) 1.14a 6) 1.150 Also find the capacitance. 7) 1.18c 8) 1.18e Note: the conducting place is in the y-z plane. 9) 7.93 ' ' ‘ ' ' LEA? 'flqflm l-llc._ AV-Br=r J?» W. a r r-llhdu ' r Q33... 11‘ ‘1. _ where alth- Is not radial flux out: 9?- the erPeI-enfiaj volum $¢:Jé’5 em Aw. = Lr+dv>4¢4¢(pr+h§a=ar)-rd¢debr arfi-JrDu-filrciQde \I‘S I“ «N. 4-. 4a4rtog+ @440- dam» =.- egg-4.4; ‘ N. ’ ‘ 419; :1: r44..a.-(p.+ gag—ram}. — .gr4r4cp4; \ ' an: 4.45%... .34.... .. l-HC. szx1‘ §F- 41311 has contributions per-Pendicular to $2 *L J: [FT-0.) 6» 014.344 +302.) (3004.542) = 1:5“ 04.54.. =0 '“1xdx - Thea are: equal m. ' E 3 Ara-ism 5:6 . e . v§4+§FLré§)+-é=‘§% 11 ‘3‘" 3’3 a%%.=(r%r'*m~ %¢>)— .(%)‘r’*W€¢ = A [fi'r'fiflhi‘fib * 4:. r -’Es£m%¢1 = o i: 0 {.01. 454.01%1t-‘3orallr. For an curb] » “'5 Q“ Ar¥gh%%¢ <1”? ' 1E-0 VE-‘tL-‘ar(r%g)§+:§’%' =Q§r_(r£r(“‘”sim%¢)- 1n(%) r§5m$é¢ $991.. ($4) an...“ %(%)‘r%w%¢ =0 1K fifitniAECQ Caoro‘yr‘mb) 1‘9” 6 Q‘pvr‘ct‘mga/‘WJ? ’ “._ ' b 53 -_ . . . . § VZQ‘JSE‘AKF‘BZV) ‘0- , fl Sn/ufi-aég ,3: $6“) _,__ 9%” +l$ .‘ ’ .Cuwsioafi/j Msrv‘flSQ *®‘ Wm% {M AM‘ if (f); {fly/ah?" 'f'fi, _ : 9:5” (r) : fiz’dfirqu?‘ )A‘Qérfb, dél 4.2:?" Not , LvlC7/rnobuc-«prc1sv'1cgln;tq /qu5f/¢-mecj JA«-¢7#fl‘”mfi‘ioi¢hzr (52(33’7‘r3m' I 94.42:; 74;? (gag/q] WED/n46 «('ng “fun-K8M%$Q—k¢ $7151; - Ila/{1143: 3’ . -gl 4 ' ' TAwaéaa 424m é‘.=..—r-—§ = 4 W G. , or ~Auw:[email protected] f“ SIhC-L fin... Waive—fl 64.76”“?! 5/ Cr ”4.514 A... Me 36349“— 0‘11 027/144 rec/L K a. édandéfi 1 (ob M7 LCM-b ’4! #1. ‘ (/ltv».ér :“irfr‘ gmégfiMszbnsao—upéj AJCCMC dwmtmj mnm- :wv‘w‘wv‘v 3w umCCCClCmmAA V (In ”flux-0'90, flk Cgowi’lfid‘b 2" weave/Baum a; (/4; “fflk Va’éytd/ V0) 7'?» sat—é fit? ‘2 Lafiw Aomem MAM m Am... I g: Jfr) :‘ M“) (fa/6), In 4 5A) : Vafi(£/‘L‘) (”—5,an O @ f‘ A - :7 in —- \lo J— r- } a”? d”) rm? ‘r > WSW-«Q .95 ~ 6sz ' ' 1-H- _CM1‘\,M 095?? , 85Li3¢> fiQ/a) Pa‘pcct oh xawM‘vvzhflzt-zflmsfirr—Wgshgmsgsbfi “.2”; _ ,_ m. ‘__‘_.._i . _ WWKM =0 WE «thtmi‘w G ITS Ifi fipfi‘uJ 4'9 m {Awe/1k, g N'TS‘EIN-u. (fl #- :. 3- " I: GLV, 9 Field ling straight 35 Should; ‘a-dfmmm 0" 910M586 on pet-Feat Conducbom. 7011(5de g confinums at edges 0? cwdlmfins region. Mac. WW" “0‘ ‘5 @fiafions: as»; .313 -—-'. +§tré§)_w+.§£ = 0 Assume 33350. swam [5 gig mane. +01 This is‘ Ihdepmdmt o? e and £115 applE 11> bobh ream-c"; Thus 3% = 3% $0 Eta? Eu. 0-1: ¢=o.rt'sgr?n¢ec. 5mg sdufion-sdfishes Lapland; W in bath region, and 0330 the [Meta Conditions. '16 is “the 0N3 mutton (This'un‘que‘nem- PM 15 ShOWn haze. Ln.) '48; 0? ln we 2 .. ._ hasannmfle 93w lentil-g beamhasan I"m3“‘3"?fi>131=¢39fi7¢ Sigma-owe mad“ nt-Aandb, both-Wow»! Ward its image can be replaced .531"° "alv- 0'0 the axes. l h Ar 8: ex =13. .. EL; - “(4-4. J ‘ r - Qréoq 2:76-4:66“) zrre. 231“ 5m. 7,): 2.0, m _ Q «a. (an s), 715; Mm 765,1. I; f)? (Juicvrcuk 0w (Ar/63721 (a gffit 4,2253 04:. gel-SPUR.’ Jch3)_ Fbtenfial ‘POV‘ «:4 >0 usma ‘cnsetm is =2¥é 9'" [%%%%1 j)“ = D‘Liao = 6E“L&-o = _5={:§ L-o ps= -6$§=‘$1%[2H£§r+333‘5‘1 l-Iae 'I-Qa In cfliindr'ical coordinates wIUn 31:0 V §=r L%—Lr¥)++s 45% -‘- i Letting I= BCflF¢CW ves RTCFR'3+%=0 or 2$£r3>=-%:n‘(aconsmr¢) ! (In'WeabOVBFu ¢=anda=§§J Ne. In'wle two AWZt-enbial equatiorrs: F; + n‘fi. = o (harmonic. ea. with solution) F¢=c3mn¢+c45mn¢ ' Also -&£F(r 3%): 4-???[Cfl‘nl‘n |-i- aid-mind] = fiEhzdurn+ ”its? 4:] a ha. 50 the. given -Forms $131995 the Mo diWer-ential WW5 ...
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