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ESE271_FinalExam_s2004

# ESE271_FinalExam_s2004 - ESE 271 Final Exam Name Spring...

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Unformatted text preview: ESE 271 Final Exam Name: Spring, 2004 ID Number: Do not place your answers on this front page. Each problem Is worth 25 point-s Prob. 1: Prob. 2.: Prob. Prob. 4: Prab.1: The following circuit is in the AC steady state. Find the current as the sum of two cosinusoids. IHGRT I So 4(7) -.- ),5‘cm{21 -—.'.70") + .1“ m (31‘ + 90°) Prob. 2: Find the Laplace transform [(3) for the current £(t) where t 2 0. Write your answer as a polynomial over a. polynomial. Ngfmt): 19V {(010 3 5A 33(2) 0»: 1'15er: Wan: mu IanCa-avblFFEN-"ﬁ‘ Euug—rmu : Nat-:(t): 4:? . f t . Jr' -'3/U£ft) +2.:(tj + I yahoo}! + 3 +%— :a r t -8213. 4.2/05} 4.5-5.) 5(chon + 3 =0 APE-IV AC: (.oI» 0+2IM+J A +4-; In) = ~————————434 +3 8A1 “424—5— ANDTNER NETNOD: USE THE MANrFaRr-Isa Cancun-z ‘3 Km +2 Ia) + :13— + f 1m +6ul'r4) 44:0 SUGJTITUTE {/4} uv'ro 7m: EQuA‘noN AND 50"”? FD” I“)? 434 +3 1/»): ——--—--'——- AG”"’« 32," Jinx-‘1'" Prob. 3: Find the output voltage 1:3“) for 1 > 0 when the input voltage is the delta function; that is, 1:10) = 6(t). The initial conditions on the capacitor-s and on the inductor are all 0. Use the virtual-short/virtuaJ-open models for the.op~amps. F wtwaa) wt) 777' 3f If). Var-(h) sf V0L7Aa5 AT raga Durﬂu‘r‘ 99" THE Flﬂfr Oprﬂﬂl ; x . WE ﬁll/a Wm: Au. vowncu ouadsnsruoa 7'0 65 F””¢"""‘” ” I 1. _ 1 2 v __ v ,_ go 1/ .: A I Y, ' ~ x — 1 1° J X ,4 351,1»: ' 21.1 +4 4- z”? TIN: I: was Yarn-Hg- Ian/man Rut-L. Fem we Set-"6,4,: (JP-ﬂap, WE 4&7- Vv v _ _. _ n— v __ _ .x._ 2 " v2 - So) 2 A. 3073 i4 2/ j“, '1 V2 _ — 4 *2 t _ .L _ '2. .43 .4, A"? Prob. 4: Find the initial value f(0+), the initial slope f(-”(o+), and the ﬁnal value f(oo) ofthe time function ﬁt), where t 2 0, whose Laplace transtrm is 652—434-2 F(s) : 3(5 + 213 _ﬂ ‘ 3(33+Bs.2+123+3) 7005’“) 1' A:ij :- ‘gﬂh 62112-4111-2 : 0 [hub ‘1')” 43+6A1+12A+¢¥ “Una” : )2“; “‘(AFm— fro“) -.- L...‘ - A‘FM) A-bm 21an (U #- 3 f (0+) : ,2»; ‘4 - 4A 424 I A—w = .6 44+ 6-431ﬁ/241-rd’4 ...
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