The two parallel inductors in Figure are connected across the terminals of a black box at...

The two parallel inductors in Figure are connected across the terminals of a black box at t = 0. The resulting voltage v for t > 0 is known to be 64e-4t V. It is also known that i1(0) = −10 A and i2(0) = 5 A.

a) Replace the original inductors with an equivalent inductor and find i(t) for t ≥ 0.

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b) Find i1(t) for t ≥ 0.

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c) Find i2(t) for t ≥ 0.

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d) How much energy is delivered to the black box in the lime interval 0 ≤ t < ∞?

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e) How much energy was initially stored in the parallel inductors?

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f) How much energy is trapped in the ideal inductors?

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g) Show that your solutions for i1 and i2 agree with the answer obtained in (f).