The initial values of i1 and i2 in the circuit shown are + 3 A and −5 A, respectively.The...

The initial values of i1 and i2 in the circuit shown are + 3 A and −5 A, respectively.The voltage at the terminals of the parallel inductors for t ≥ 0 is -30e-5t mV.

a) If the parallel inductors are replaced by a single inductor, what is its inductance?

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b) What is the initial current and its reference direction in the equivalent inductor?

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c) Use the equivalent inductor to find i(t).

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d) Find i1(t) and i2(t). Verify that the solutions for i1(t), i2(t), and i(t) satisfy Kirchhoff’s current law.