A single$-$loop circuit consists of a $7\mathrm{.}2$ resistor, $12\mathrm{.}1$ H inductor, and a $3\mathrm{.}3$ F capacitor. Initially the capacitor has a charge of $6\mathrm{.}4$ C and the current is zero. Calculate the charge on the capacitor N complete cycles later for $($a$)$ N $=5,($b$)$ N $=10,$ and $($c$)$ N $=100.$