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 = 1.8 k?, R2 = 12 k?, R3 = 2.8 k?, R4 = 18 k?, Vs = 3 V, C = 0.02 ?F.
v(0) = V0 = Vs × (R2 || R4)/[R1 + (R2 || R4)]= 2.4 V
Req = R3 + (R2 || R4) = 10 k?
? = ReqC = 0.0002 s
v(t) = 2.4 e-5000t u(t)
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