Given that L = 1 henry, R = 100 ohms, C = 0.0004 farad, E(t) = 30 volts, q(0) = 0 coulombs, 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.