A 1 mH inductor and a 1 kΩ resistor are connected to a 12 V battery for a long time. The circuit is similar to that in Fig. 1.26. The battery is suddenly removed and a 1 kΩ resistor is substituted.
(a) Find the initial inductor current i0 at the time of substitution.
(b) Find the current in the circuit after two time constants have elapsed.
(c) Find the total heat produced in the resistors when the current in the inductor decreases from its initial value i0 to 0.