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The switch in Figure P9-46 has been closed for a long time and is opened at t = 0. The circuit parameters are R = 50 Ω, L = 200 mH, and VA = 30 V.

(a) Find the differential equation for the inductor current iL(t) and initial condition iL(0).

(b) Transform the equation into the s domain.

(c) Solve the equation for IL(s).

(d) Take the inverse transform of IL(s) to find iL(t).

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