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HW1solution - EE335 Homework f Solution 1;ng =13 ~22 50—...

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Unformatted text preview: EE335 Homework f Solution 1;;ng =13: ~22 _ 50— 75 _ —2s _ 1 -——._—.... F"? R,+z sons 125 _ + +- le -v +1";.v _ + + vfl w?! Mgr,» +1;va v = v13 +(IEFT)2V+ + F61"??? hwy-:9“:- .- . ., .. (c) For final voltages and currents, sum to m. V = 19* +1}? +1151}? +I‘ :v‘" +F3F:v* +ngfv+ +... v*[1 + 1“,][1 +111} +(I;I;]z +(I‘3rr)3 +..] = r[1- 1}][1+ 11;; + (1311;)2 +(I‘GI;)3 +...] d' r + At t=m, ——£-L(—)—=0 and Zv” #20:}(1) or ir(oo)=3Y—. 4‘ z, - r+(—r,)r*+rgrri*+(—I;)I¥i*+rérfir”30-5)“?+--- v----.----—--- JW I. I I S [Eli Le: 29* = G- __ ‘m ..L H: d' (t) +zoi,.(:)=0 or ‘37+%i7m=0 z, This has solution AeT'. 90‘} = 3—??- + A6“? z AIM-'0, i: Z O as it cannot change instantly through the inductor. 3 7.6. 100:2 50:2 5012 3371 Z.=5°9 200:2 1} ' Tu 1}. 1'1, h—GOOm—DI H—3GOm-I-I . 1._100—50_1 r _ (50+50)//100]+50 -5o_mo_.50 6“ 150 '3 “' (50+50)11100]+50 +50“ 150 1 200-50 150 3 11?; (““110 rb=_2'5"6"=§5—0=§ v+=3x50=1volt 150- 4.... o 1 X 6 4XIO‘GS 5X10'GS A 3x10“: 509 50.0. 100.9 200.9 5012 BY 3x 10‘ 50:2 5012 = 2x10"s 600m 3 x103 om 5% 5 X o m 5 5 mm] ,5 0...]: 0 5) 5 Wm Mal [ 7.7. 150m ' 600m 750m 900m Voltage distribution along T-L at 1 = 3.5 x I 0'63 V1 1.333 3 V 150m 600m 150m 990m Sam: as no. 7.6 with the following values: _ 5 .. FG=200 50=_3_ I" I( 011100}+50| 50_0.25 250 5 " = [(50/1100)+50]+50 “ r =‘_[(50+so)/noc}I—so_o 11:3 '2 [(50 +50)l/100]+ 50 ’ 5 (so+5o)1: 100 1 ) (501/100) __ ) 5 __ “ 50+so"2 1: = 1+1" — '? ( (50/!100)+50 0'5 1'2: = (1 +112 450 3x10, =1.5x10“s T: i i s rsorzgfi‘M 12711129") 11(1; 1.1% __—-.—u--- Hanna-un- + 1' 1;.7'3v + 111”?“ v p,“ v ©+ (1 + 1})(ranff + 57:272.“) '3x104s v ‘ 6x10“‘s (b) memeAAtimelin‘e 1.7V 0.375 , 300m 450m 600m 900m. Q) = w +131? + raruw + (r 31;“ +r,_c,zrz,v*)+ra(1;1;1v+ +gg,rz,v*) =1.7V Q) = w +1}! + Tony +0131}? +FLclzrnv") = LSSSV © = 121? + Iltuw + Qfi'cuv” + rflrzruf a .8750 G) = © +1“L(I‘ 61:11.12“ +121? £91332 .._.....,...._ . h.......-. .T....._.._...__.._...‘._._.._......._.........._..._..._ I - ' -——.u______"_.___ .. ~ ...
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