Aseries circuit has a capacitor of 0.25 × 10−6 f, a resistor of 5 × 103 ω, 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 = 0.001 s, at = 0.01 s, and at any time t. also determine the limiting charge as → [infinity].