Question: For t < 0, the current through a 100-mH inductor is zero. For t 0, the current is iLt = 20e2000t 20e4000t mA. (a)

For t < 0, the current through a 100-mH inductor is zero. For t ≥ 0, the current is iLðtÞ = 20e−2000t −20e−4000t mA.

(a) Derive an expression for the voltage across the inductor for t >0.

(b) Find the time t > 0 at which the inductor voltage passes through zero.

(c) Derive an expression for the inductor power for t >0.

(d) Find the time interval over which the inductor absorbs power and the interval over which it delivers power.

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