HW2solutions

# 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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