The switch in the circuit shown below has been closed for a long time before it is opened at t = 0. Find the voltage v(t) across the capacitor for t ? 0. Assume R1 = 1 k?, R2 = 2 k?, R3 = 2 k?, R4 = 3 k?, Is = 3 mA, C = 0.2 ?F.


v(0) = V0 = Is×[R2/(R2 + R1 + R4)]×R4 = 3 V
Req = R3 + R4 = 5 k?
? = ReqC = 0.001 s
v(t) = 3 e-1000t u(t)

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