Three identical resistors with resistance $$R = 12$$ $$\Omega$$ and two identical inductors with self inductance $$L = 5$$ mH are connected to an ideal battery with emf of 12 V as shown in figure. The current through the battery long after the switch has been closed will be _____ A.

Long after the switch is closed, replace both inductors ($$L$$) with plain connecting wires (short circuits).

$$\frac{1}{R_{\text{eq}}} = \frac{1}{R} + \frac{1}{R} + \frac{1}{R} = \frac{3}{R}$$

$$R_{\text{eq}} = \frac{R}{3}$$

$$R_{\text{eq}} = \frac{12}{3} = 4\ \Omega$$

$$I = \frac{12\text{ V}}{4\ \Omega} = 3\text{ A}$$