The three inductors in the circuit in Figure are connected across the terminals of a black...

The three inductors in the circuit in Figure are connected across the terminals of a black box at t = 0. The resulting voltage for t  > 0 is known to be v

v 0 = 2000e-100t V.

If i1(0) = -6 A and i2(0) - 1 A, find

a) i0,(0);

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b) i0,(t), t ≥ 0;

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c) i1,(t), t ≥ 0;

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d) i2(t)t ≥ 0;

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c) the initial energy stored in the three inductors;

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f) the total energy delivered to the black box; and

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g) the energy trapped in the ideal inductors.