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 = 3 k?, R2 = 5 k?, R3 = 2 k?, Is = 4 mA, C = 0.3 ?F.
v(0) = V0 = Is×[R2/(R2 + R1 + R3)]×R1 = 6 V
Req = R1 || (R2 + R3) = 2.1 k?
? = ReqC = 0.00063 s
v(t) = 6 e-1587.3016t u(t)
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