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MHT CET 2025 (25 Apr, Shift 2) · Magnetic Flux & Faraday's Law

Magnetic Flux & Faraday's Law question from MHT CET 2025 (25 Apr, Shift 2)

Q26MHT CET 2025 · 25 APR · SHIFT 2Easy

Magnetic Flux & Faraday's Law

A coil of ' nn ' turns and resistance RΩR\Omega is connected in series with a resistance R2\frac{R}{2}. The combination is moved for time ' tt ' second through magnetic flux ϕ1\phi_1 to ϕ2\phi_2. The induced current in the circuit is

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Answer: (b)

  1. Total resistance R+R2=3R2R + \frac{R}{2} = \frac{3R}{2}
  2. Emf e=n(ϕ1−ϕ2)te = \frac{n(\phi_1 - \phi_2)}{t}
  3. I=e3R/2=2n(ϕ1−ϕ2)3RtI = \frac{e}{3R/2} = \frac{2n(\phi_1 - \phi_2)}{3Rt}
  4. So the answer is (b) 2n(ϕ1−ϕ2)3Rt\frac{2n(\phi_1 - \phi_2)}{3Rt}.
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