Find the differential equation for the inductor current ilt


The switch in Figure P9-46 has been open for a long time and is closed at t = 0. The circuit parameters are R = 10 kΩ, L = 100 mH, and VA = 24 V.

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(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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Physics: Find the differential equation for the inductor current ilt
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