Q 12-06-070JEE MainJEE Main 2023 (24 Jan, Shift 2)Medium
Three identical resistors with resistance $R=12\ \Omega$ and two identical inductors with self inductance $L=5\ \text{mH}$ are connected to an ideal battery with emf of $12\ \text{V}$ as shown in figure. The current through the battery long after the switch has been closed will be ______ A.
Numerical value type. Enter your answer.
Answer: 3
Long after closing the switch the inductors carry steady current and behave as plain wires. The three branches are then just three $12\ \Omega$ resistors in parallel: $R_{eq}=4\ \Omega$.
$$I=\frac{12}{4}=3\ \text{A}$$
Solution by Sreeraj P, M.Sc Physics