Given that $\displaystyle L = 1$ henry, $\displaystyle R = 100$ ohms, $\displaystyle C = 0.0004$ farad, $\displaystyle E(t) = 30$ volts, $\displaystyle q(0) = 0$ coulombs, $\displaystyle i(0) = 2$ amperes:

1.) Determine the charge on the capacitor and also the current in the above L-R-C circuit.

2.) Determine what the maximum charge is on the capacitor.