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QJEEM23Pha907: JEE Main 2023 Physics - Class 12 JEEM23Pha907 Solution: Three identical resistors with resistance R = 12 and two…

Three identical resistors with resistance R = 12 Ω\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

Step-by-Step Verified Solution

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 =VReq=12 V4Ω=3 A=\frac{V}{\mathrm{R}_{\mathrm{eq}}}=\frac{12 \mathrm{~V}}{4 \Omega}=3 \mathrm{~A}

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

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