A series circuit has a capacitor of 0.25 x 10-6 F, a resistor of 5 x 103 ohms, and an inductor of 1 H. The initial charge on the capacitor is zero. If a 12-volt battery is connected to the circuit and the circuit is closed at t=0, determine the charge on the capacitor at t=0.001s, at t=0.01s, and at any time t. Also, determine the limiting charge as t> infinity.