Chapter 9, Problem 32P

For the circuit shown in Fig. P9.32, the voltage is $v\left(t\right)=5\cos \left(5t\right)\text{V}$, the current is $i\left(t\right)=10\sin \left(5t\right)\text{A}$, and the total power is $p\left(t\right)=25\sin \left(10t\right)\text{W}$. If the initial stored energy is $w\left(0\right)=0\text{J}$, determine the total stored energy, $w\left(t\right)=w\left(0\right)+{\displaystyle \underset{0}{\overset{1}{\int }}p\left(t\right)dt}$, and plot one cycle of $w\left(t\right)$.