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JEE Main 2023 (24 Jan, Shift 2) · Combination of Inductors, LR & LC Circuits

Combination of Inductors, LR & LC Circuits question from JEE Main 2023 (24 Jan, Shift 2)

Q22JEE Main 2023 · 24 JAN · SHIFT 2Medium

Combination of Inductors, LR & LC Circuits

Three identical resistors with resistance R = 12Ω\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.

Figure

Numerical answer type. Work it out, then open the answer.

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Answer: 3

  1. Long after closing, di/dt=0di/dt = 0, so each inductor acts as a plain wire.
  2. The three branches then each have resistance R=12 ΩR = 12\,\Omega, all in parallel: Req=12/3=4 ΩR_{eq} = 12/3 = 4\,\Omega.
  3. I=12/4=3 AI = 12/4 = 3\text{ A}
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