Th switch in the circuit shown below has been closed for a long time before it is opened at t = 0. Find the current i(t) through the inductor for t ? 0. Assume R1 = 2 k?, R2 = 1 k?, R3 = 15 k?, Is = 3 mA, L = 200 mH.
i(0) = I0 = Is × R1/(R1 + R2) = 2 mA
Req = (R1 + R2) || R3 = 2.5 k?
? = L/Req = 80 ?s, 1/? = 12500 (1/s)
i(t) = 2 e-12500t u(t) mA
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