Find the charge $q(t)$ on the capacitor and the current $i(t)$ in the given LRC-series circuit.\
$L = \frac{5}{2} h$, $R = 10 \Omega$, $C = \frac{1}{20} f$, $E(t) = 400 V$, $q(0) = 0 C$, $i(0) = 0 A$\
$q(t) = 20[1 - e^{-2t} (cos(2t) + sin(2t))]$\
$i(t) = 4e^{-2t}sin(2t)$\
Find the maximum charge on the capacitor. (Round your answer to three decimal places.)\
20.86