The 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 = 3 k?, R2 = 1 k?, Is = 2 mA, L = 120 mH.
i(0) = I0 = Is × R1/(R1 + R2) = 1.5 mA
Req = R1 + R2 = 4 k?
? = L/Req = 30 ?s, 1/? = 33333.3333 (1/s)
i(t) = 1.5 e-33333.3333t u(t) mA
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