HW5solutions - $0[ml-i 0h ECE604 Homework 5 Out...

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Unformatted text preview: $0 [ml-i 0h ECE604 Homework 5 Out: Tuesday, February 10, 2004 (Session 9) Due: Tuesday, February 17, 2004 (Session 11) [Students with tape delays: due according to session number] Notes: 1) Midterm #1 will be given on Thursday, Feb. 19, 2004 (Session 12). It will include electrostatics and magnetostatics (chapters 1 and 2, as well as sections of chapter 7 covered in class). 2) Homework #6 will be given on Tuesday, Feb. 24. Problem numbers are from the text by Ramo, Whinnery and Van Duzer (3rd edition, 1994). 1) 2.12b 2) 2.13a 3) 3.2a 4) 3.3g 5) 3.5a 6) A material with permeability u is uniform except for a spherical cavity of radius a (with permeability no). A magnetic field is applied that is uniform (B = B02) far away from the spherical cavity. Solve for the B field inside the spherical cavity. B =302 7) A perfectly conducting segmented cylindrical electrode pair of radius a has an infinite ' extent in the z direction. The electrodes are sitting in free space (8 = so). Voltages V0 and —V0 are applied to the electrodes (as shown in figure). V0 a —V0 cylindrical electrodes a) Give a series solution for the electrostatic potential, both for r < a and r > a. b) Give an expression for the capacitance of this structure per unit length (series form is ok). $498: VXVxA: J7 1A+VKV WA) 229. LA :R’Z‘DR‘HLZ m. ‘5':u§¢ i2;- i‘gé—“YLM Bari EEC“; A 3733+ an _u:>\m‘\dv\ \b m scum. provioud Oder db Fwd AxQ-X-mmfim maa ‘09. MW. Etc» Hf om WWW 5M3 Q. ’ E .- 3537'; étabm‘fi: ageing .- A I W? = ’-'~ :5; I a. Mba'i 41%) +?3\2>f='—s{-) ém’é '- but): 0 3‘ 3.33%; - . . Satbtfibfiu . _ ..,' . ‘50 ‘MA emu be. clerNQA mam a? QW:-F‘~Y§ ”.AE, ' N}: .Bb§=§g‘f.%§‘.§;43¥afg" E =% Cotsun mt; V¥E=“%‘§ so %[3§,é —33-5-E"]= gamcowmmt Unis is sotis¥~ie¢ b5 53‘ 7“ms wt Plus :2,ch termS that do not enwr [into 2the. prodem. Manmscnpm: 55E A1. = 5131: 55 in ri3ht— hand sense beat-:0»? bESluu-o = —Jo I“ 2% Clx'dfl —‘°bg_°a' 005 wt: - 550030.97; 0,05 wt Ax = —Bw19_qa3'cos wt. 3.2a. ~ —*—— 311.426). 33% 21m- 110” em¥=-§£3—§'J§= leSIT-filégw = %#%’%¥M%) 6mg: =+§%bn(%)37? Note. {what r9 Hue cut-vent is not time verging amen $21932: 0 =3 em9= 0 3-50. vxT-T = 31+ 3‘; §sc$c+3if dg JmLiRfiMv . 3v v (vav = o For Closed ,sw‘eace heundarl b3 5‘ and 33' L 33 d€+ 31 As=o ' For a. closed surgeon. bounded b3 5;. 5,3, 353(3). Tic.) 65 + s: 33 As =0 so 35.31 4's"= 3$cyfi+31>13 0:59" Awe _ 6071 74“” ,P‘/~ “cc/[J é/owJ/PJ‘ ) 0—7" [.3 [NA P>a imp: ”:B—circése + Cwa '7 _ “'77 WA -4 ”774‘”: 7/\LM—>‘ 8 2 6° 5 4%“ Slab 6/}? fit (’Q a? Car-W1;— " 7 . . I . 1)) 757K 5%an gym/1’, / #6 ”WM 6m 56 M17594 a; faflflw5.; gm) ig/Jnr’hmfi, rm W 9%me ,p<9<7t 00 l M arm/fine, hop ’l/a Ifl<g<2m 5mc€* flue cyflo‘n Med decides fim Way/7% mé‘gas, we c/wyg M21.” flaw/A (Sin/3,9) far Jay) Mac 75:2 firm/W 509;ng We use r” fir I’M? . New 3m,» 2%; qucf an‘er Mas emu/m m4 797140, 50. . W56) We 0W8 5M9 Sal/1‘85 750 defemu‘ne ,9”, 8n - ‘ ’ sfnce +56 WWW is 0 m‘ 9=Qf70 - I. 9- jingnaWmeWfi—Vzflamadw [@1me m infcgflh Léff Ann/{Mk = Am films" \ K - 0 lmih . ' . 5mm fmfimngwmeuaz 7; 2 2;” (pHMWflM"7'/M) . ‘ z 0 I H I’M/73$ . kyflffidfll Sig/gr: ‘ [£73715- n):p/a( 57 ' _ m :eyw_ WWQW 24n;%) . 5,11% (I‘d/m6 dff‘flfl‘fi/ / flLfl/é/ ' W @me ' ciéfiféaa’fim Ra ; @016 Pféénéaflgj 2mg ' rm ~— .§cr,9):4i/BZ ngLJV/mfi 71?an...
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