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05springFinal - ESE 2T1 Final Exam N ame Spring 2005 1 N u...

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Unformatted text preview: ESE 2T1 Final Exam N ame: Spring, 2005 1]} N u mher: Do not place your answers on this Front page. Emil problem is worth ‘25 points. Prob. l: Prob. 2: Prob. 3: Prob. 4: Prob 1: Find the inverse Laplace tl'ansfurm Hi] rm '4! 2 I] {if J'"[3}. ' 54+332+3 5d+332+8 151:3}: — : s{s+1}2 m 18)” JPN-M DJVIJI'GM} FOL $-42 + 6‘42 'l'?.a. +3 'i: _ 9 Afghan) FHA :: 4—1 + A + BI “r 3: __ A {Ml-+01 4.1-: A = g (m1 ’2 g E. _ +AALI :— .. 32 :15: H1 82 : f" J‘Efi:t?fidt‘f\ : 64L; _ A 4' " Ali-'4 4'1 ' _ '2 5'9 165“ 5 drmr’tl +26%} + 3 -J2re"t _2e Prnb 2: Using a. mesh analysis with the rrmah currents shown, find the Laplace transfnrm {3(3) of the current i2“), where i 3:- U. 5H} Hr THE EEPEHDEur' zf—J' -_.- ai-rtr :I' , an Anaemia THE EJHTJI'DI'L: 1'34“”: Fur + git—f + :Iffliiffi"? :9 a“? 3‘ a Apr-p: THE LAMA” an'lmrwifu Ta an" E'fiu-4T~‘D~51 - I: _ Rabb-H Ir I1 ' TA. 1:") _II — -—?;- I; Yaw: WELD! If?” “"5 1'2- Prub. 3: The Laplace transform 17(3) of the transient function fit], where I 1} I], is 852—23+3 FESJ = 23(33 + 2.9 + 2] (a) Determine the initial values f([l+j and fm[fl+}. (1)} Answer “yes” 01' “no” to the question: “Dues the final value flee) exist?“ If your answer is “yes“, determine that value. If your answer is “no”, state why the fin-'1] value 11:00) does not exist. {a} {it/M} : MAFM‘I :: 4—3:” m . . -J3Aa~!3¢.1 4: “: ,EflaafflFME-ffafl) = IRA-«M -.———-—-————- : r9 2 Ar”, A-Da? ?A3+ rm. + its “53 Pun an: 64?” A’Z-j—E—‘uiif—a - : "it-ti A; _ - .un Thu? Pit-IRE: IN Fist-h Fiat mi: n 3mm; Pat: «WW-é 5’9“?“ 4 TM 4:; T.- HALF 4, -P’—*JHF. T'grgE-‘am-"J $550} EX} s‘Tj.‘ .«quwEA. H YE} leis-:1: MdFLL'): .3- Prcib. 4: This circuit is in Line AC steady stale. Find 1:“) as a cusinusuid. JIIJ'l (ll-{1‘} .__.—_..--_.—_,—.—m-..—-—-" Arm = :r—LZ- 4W(31-fl-9) ...
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