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JEE Main 2025 (23 Jan, Shift 1) · Combination of Inductors, LR & LC Circuits

Combination of Inductors, LR & LC Circuits question from JEE Main 2025 (23 Jan, Shift 1)

Q17JEE Main 2025 · 23 JAN · SHIFT 1Medium

Combination of Inductors, LR & LC Circuits

Figure

In the given circuit the sliding contact is pulled outwards such that electric current in the circuit changes at the rate of 8 A/s8\text{ A/s}. At an instant when R is 12 Ω12\,\Omega, the value of the current in the circuit will be ________ A.

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

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Answer: 3

  1. Pulling the contact out increases RR, so current decreases: dIdt=−8 A/s\frac{dI}{dt} = -8\text{ A/s}.
  2. KVL: E−LdIdt=IR⇒12+3×8=12IE - L\frac{dI}{dt} = IR \Rightarrow 12 + 3\times8 = 12 I
  3. I=3612=3 AI = \frac{36}{12} = 3\text{ A}
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