P 7.7-1 Find the current i(t) for the circuit of Figure P 7.7-1

Answer:

Figure P 7.7-1

Since we have not been given i(0) we will assume it is zero.

Now since the current is the total current, L should be the total inductance. The 6 H and the 3 H are in parallel so the effective inductance is found from

We then have two 2 H inductors in series which gives

Units would be Amps, so

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