magnitude of voltage

Question

A series circuit consists of a battery, a switch, a resistor, and an inductor, with wires connecting them. At some time, the switch, which had been open, is closed, completing the circuit. As time passes after this, the magnitude of the voltage across the inductor

a. increases.

d. decreases.

c. remains constant.

d. might do any one of the above, depending of the values of resistance and inductance.

Answer 1

initially the circuit is open meaning that no current is flowing through the circuit. when we close the circuit the battery wants to push a current through the system but however the inductor resists passing current through it. therefore initially current passing through the system is zero which means all the voltage of the battery falls on two ends of the inductor. over time more current passes through the circuit and the voltage across the inductor approaches zero. so the answer is b