Chapter 8, Problem 11P

The voltage across the inductor of Fig. P8.9 is given by $v\left(t\right)=L\frac{dt\left(t\right)}{dt}$. Determine the voltage $v\left(t\right)$, the power $p\left(t\right)=v\left(t\right)i\left(t\right)$, and the maximum power transferred if the inductance is $L=2\text{mH}$ and the current $i\left(t\right)$ is given by

(a) $i\left(t\right)=13e^{-200t}\text{A}$ (b) $i\left(t\right)=20\cos \left(2\pi 60t\right)\text{A}$