JEE MAIN - Physics (2023 - 24th January Evening Shift - No. 29)

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.

JEE Main 2023 (Online) 24th January Evening Shift Physics - Electromagnetic Induction Question 41 English

Answer
3

Explanation

After long time, inductors are shorted.

Effective circuit becomes

JEE Main 2023 (Online) 24th January Evening Shift Physics - Electromagnetic Induction Question 41 English Explanation

Current through battery $=\frac{V}{\mathrm{R}_{\mathrm{eq}}}=\frac{12 \mathrm{~V}}{4 \Omega}=3 \mathrm{~A}$

where $\mathrm{R}_{\mathrm{eq}}=3$ resistors in parallel.

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