A 10 uH inductor is connected to a circuit such that prior to t = 0 the current through the inductor is 10 mA. After t = 0 the current through the inductor is iL(t) = 10e^(-1000t) mA where t is time in seconds.
a) Determine the expression for inductor voltage vL(t) for t > 0
b) Determine the expression for the inductor power pL(t) for t > 0.