hw2_solution - Salqil‘bn ECE604 Homework 2 Out Tuesday...

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Unformatted text preview: Salqil‘bn ECE604 Homework 2 Out: Tuesday, January 18, 2005 Due: Tuesday, January 25, 2005 Note: There is now a class website at htt ://sha .ecn. urdue.edu/~ee604/. Problem sets, solutions, and other handouts will be posted there. These problems are from Chapter 1 of the text by Ramo, Whinnery and Van Duzer (3rd edition, 1994). 1) 1.110 2) 1.11e 3) 1.120 4) 1.13b 5) 1.15a 6) 1.150 7) 1.180 8) 1.18d 9) 1.18e i ogwi—{q/.L\.”l}: mdt‘a ‘lLA,,AV_I ’0‘ 6052 “1'02. . New: +1.. its)“; ‘ i 11.. ' 0m&ud-WWM , ' I J Lu, "W ga , , Ii . .1 1L bd‘ - bowxol rum > 4») ‘Huu M—t—lkw Hal aw M . 1. 1 we 41d." , lp‘ ‘36- or!” “L‘BX‘ W); M “HQ“ _ Am; , ’ va/M‘sb .2 w ‘ ' ' ' . ILA:;W |‘”¢‘ - ‘V5.=4‘:‘3'3'»J" " rdr adult V§\: ' 4,. I where AIR. is. net radio} {flux 09d: 99- the <1an volum \\ \\J§\ ‘ . see. an», =(I'I+_dr)dd>d£(Du-+¥dr) rabdebr :fi-fiDi-Nré‘“ \\\\“-; Tag d‘l’o __ 454, UN"? aggm- . ~dadr'bx) = $953-$426; '\ \l'\ ’ 6 W2; 3‘ rdéuirCD-zfl" 35‘ Eh.) 4Pd¢3kbg = aggrahd¢d£ ' \ v B =- 35.299447 +3£’-+—?-i DH: E=xx1 . . I . $1: 3;;- has contributions perpendiwlar {:02 =LJ_:[FI(-a) (~x)]IIch5dzI:- Fan (x2342) = U“ have =0 “F V de = i” 2xdv = (29.)‘J ‘ 2xdx = "”1835 are egual 3) HM /——. ‘ S S ‘ Lie (QQH . ‘L \ ‘U' MI) I \L. V\ OM M ”Q l/V\ m m (,0wa ‘l’ 0.53 CA.“ C44." C(ijuvxadflb, M w»; 3 - 5'" m 67 M p ASOMhL‘ W» « "*GV ‘ \ t.- - .5, V _ ,— mu 2 Vw.‘ ? q EDI—(PK y"): ”WV/v ébdflflla/l7 MdnLW’LJI '.:- . .MM erQtyS 0‘6 M49» :7? m5 CW MUS- L,- ‘IK Q7£lnoQMCc0 CaomeJr, *9“ Q Q‘flvr‘ chair ' V2? 5,.[w ) "° - HE _. fl St/u'fim"? (3:. $(r‘) : 9’0"” ‘1‘ $ y, ;A 6% v4 7%. ”WW Oégfézri- (gang-5,: “if '.§ 04.42} #0:; wad/J Vic/wk 49M M7w/‘W-flwa—EL $173k“- Wax/adj. «gt 4 ' .--~'_ «2637- . r" r” /r%5r‘[email protected] _. “_.~ “51"“ ‘3’ ’V . . 6* _ “74¢" ,Mméb -._——‘-- f" 134',— mb mama - ., . v/ 362% Ono/m1 r134 - a. édondav 10M» “7% fl, :fl’z. 7’10» 3’14Pr‘A waflmusimsflwéQ 42"“ mm» dfl’pofiyaéJg/mmm: 2"QCdvlsiuv/H‘ 1"» 3w 6.1775;on Wop/v. A K. (2:4 mZ‘I: fig Gaga/719:1... 7% Mafiaw‘fimk. w. //4-; why Va) 7:. Wing. flee Jfr‘)‘. W’anfig/a) _—_—_—_—__-___ W In 4r 3% Jffé/Q 3,6;va @Fé) .. x " 2",; ‘1 w. \/o G“ 2 a”? . é’[ ) ,vaLb/fij )1 ) "R w?- v‘hcecew‘rwk low was?» mam. 5kg ’6; M‘Hw-l—GM WW (Us?) Lamina? “(stung \/ Mm-wt E) -65 "' M aha . . RangD _ V 035 '1" (911507;), (M. _ . . _ ’I-MS‘EQ .7585 2'. Eat/€73 1 ‘ . ' ' l' C6 6212770 V :> . T959112 W1 (“hm batA “aluui’f/‘v QQ-‘t #gU-S—i : figr-CUW‘l—‘wsuz 4M3)? ggswgfifik _ Q ‘* -- I [351 con¥~t4tuo07 *4 ' ' E' mW&UC/M G§ 13 % 53—711.ng 4-D mMUQJV-w g -2 “910—th +Xt- ca" 143 We 51/50 ouan‘IL-eél 4‘0 COM/9%.“ 4/” 1’ Gal/0"” CI“LC(4(€Z W: a a: r cetd’ <25 Qal/ £03 “1:00 ékfflg 0 GAO-41W Maw/hm Wan/1m M P5 = Dr (mm :0 am“): 9.4m ) ,sxm MP Ana» *MJVW 1‘? 2-440. J: _g, ' .. . . rad! 2« .1 Mac. _ NW4 no}: vgfiafions: . .M; .m: =' go'eawagg = W $90 .. 4—4 swab; is fiség'whvc , _. , , EDA ‘ bou .wndiéibns 9t r'=o.,\> "Wes-p - I This 15.. :54th o? e and fins awk- 4'» bubh . reams". Thus $95 '3 3% 5° 3‘33 55.0.1: 4’3“". "PM as. ' 1-3393: lsdufian -$éib'sg\% Lapwice‘s eqmtwn 'm bufin regions, ' and Q39 _.thg 'wwdws 'wndiuors. it; 13 the Okla swam ' {This mamas M ‘3 Wm inns“. pn.) IL . Lye [ . " - ‘ Vacate :joecéojzfic'ft +0 Comflcde +17? Cd 0 pacFF/‘fi M6, w e Cort/£2 A C(nalcc/ ‘3 ’«DP /r:"4)’ Vs W . ', ,_ ., ' z ‘ \ : ‘F®__OA¢_AT. _Rs)\' D'CF‘A’) é' L(‘/v~)7"’b 5m ”Sc, Each élematt a? change m the eiechuh beam hasanimage 50th: enfimbeam has an 'anaae 9? opposite Stan 03 ”11.51” 4113M: tAWB.boUnWW bzm- and Herd mhsbd‘mbmisaarA and” ”E11038 f“ Unrf/‘njfi gtnxwgp (3 -7? W6 ) {Mo ' - I "‘ V .L __L_. ‘ ‘ - “H W x a» ,_ . A+ h . é ., 7‘- : - o q ZJ—q ‘ :2 "’60“ .;2 are—o (2s ~c~) 2 21‘ e _ ' - {’ $2 . I” & 5x -* i _ h} ‘ ; fist - I] A 2731404 :zzréa (151m) Zyrtec 23+.» 5W“ 71 “‘02 W 5x 45 (J 8) 775s amt”- 75‘“, ,3 +2? awn/74m on ob—ch’fl [a 3g,“ (WA 94) J’s/1M9» dcafi’mxs) Mad orfis‘mal t>mblém Egu'nvalent Per- 7t >o Potentids ‘Po'r W0 egu-‘walent sastems‘. ' ‘ Brx>o:§.f— =W+ 4W9 2 .ch-c-aPa-bl-rz‘il _ _ Fbr 1 <0 '. Qz= m(6.+e.)E%Ax-d)‘+b~+z‘l”‘ -- 235 At the boundarb 3.51:5. =, “ iggfo = 4-rr(e.+e‘)(a1+5 +29 1- = Eta:- (Likew’tse ‘Por- Eta) is eondnuous. . 2 4 £2. .3? m” D‘" '" . = ‘ 5' ML x=o = Mue‘“ +Le..)ca‘+3*+r)$ = ‘51“; D». = D02. both boundary) conditions are satisfied. Nee} Potential 90“ x >0 usmg‘ image [5 Q = 23%;%[§33;—r“'1 D‘lx=°= éExL‘=O= _e__$%[ P5 = -é$g= " 4KEW+32L54 = 7535:?) “o G H MJKNMQ €7,377, +W4WQ MCQJWM fgg; m» {KYJ (9 gsha§E &2 «:0 V” SW \E‘L’: TQH: Tlms IS fliwue‘i » cg CM LL 6 D‘cv-Q 6 NWJL math!“ « /————- ifi/i/fl // @ ° Frm gr]: d1” £ng )W WW" “D“. g "7’; 95 . b b ppm» baf .. m @5 w W w Whit“ WWW") WSW V" 5st I (24/ Th 2 jnz n O—‘En‘ : FLGnL (x; CACKSS‘ “90 (7011A PLMCU‘fi Vc~\¢‘ WV“ IV’X‘JH‘“ . \rkj‘ TS) Flak”: 0.71.95“; Tth yaw/(db WNW oi)? elfin‘ - GLEH‘LZ‘V‘QS‘ wk L“ wgm (Many. W361i} .‘ I 3:" Fm" W690). +141 huge“ chm?- ~ Mtgmts 46% "ED S» w [awn horn—1‘ T ch 'mmqu b CunJA—LQM CM 59 sad-mgrd.’ ...
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