Question

Find the output voltage vo(t) in the circuit given below, where Is = 1.7 A. t=0 W 1092 1H + Is 592 10 mF vo The value of Vo(t) = [Ate Bt]u(t) v where A = and B =

Answer 1

t=noo to tzó switch is open inductor = short, capacitor = open TO 1 #2057 SA V, 0) TA By currat division Rule x1.7 = ' A to i, (e-l= s 5410 17 30 ů (0+1= iel Vc (0+)V0-12 ou (i voltage across short circaut) AF tro switch is closed for too circuit becomes [Apply laplace transtorn] Vols) lon 1 - 7 A V,01 Ion 33 61 a SA lows Apply nodal analyne at Vas) -:7 Vocs 1 17 30s + Vau! 100 -O Vos) S + + 5 Vo(si 1.7 + 5 305 Vasif 205 + 100 + 5 Tops 51-17 308 V.(S) - 3493 (s + 1032 Apply inverge laplace transform

Vot) : 3M으 3 telor Wf) U A 340 113.3333 8 (1 - 10

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