A coil of resistance 12Ω and self-inductance 2mH is connected across an ideal 12V battery.

(a) Compute the time constant.

(b) Sketch the current through the inductor as a function of time.

(c) How long does it take for the current in the circuit to reach 99% of its final value?

(d) How much energy is stored in the inductor when the final current is reached?