The current in the capacitor of Assessment Problem is 0 for t < 0 and 3 cos 50,000t A f...

The current in the capacitor of Assessment Problem is 0 for t < 0 and 3 cos 50,000t A for t ≥ 0. Find (a) v(t); (b) the maximum power delivered to the capacitor at any one instant of time; and (c) the maximum energy stored in the capacitor at any one instant of time.

Problem

The current in a 50 µH inductor is known to be

a) Find the voltage across the inductor for t > 0. (Assume the passive sign convention.)

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b) Find the power (in microwatts) at the terminals of the inductor when t = 200 ms.

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c) Is the inductor absorbing or delivering power at 200 ms?

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d) Find the energy (in microjoules) stored in the inductor at 200 ms.

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e) Find the maximum energy (in microjoules) stored in the inductor and the time (in milliseconds) when it occurs.