Chapter 5.1, Problem 50E

Series Circuit Analogue

Find the charge on the capacitor in an LRC-series circuit when $L=\frac{1}{4}\text{h}$, $R=20\Omega$, $C=\frac{1}{300}\text{f}$, $E\left(t\right)=0\text{V}$, $q\left(0\right)=4\text{C}$, and $i\left(0\right)=0\text{A}$. Is the charge on the capacitor ever equal to zero?