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MHT CET 2025 (23 Apr, Shift 2) · Magnetic Flux & Faraday's Law

Magnetic Flux & Faraday's Law question from MHT CET 2025 (23 Apr, Shift 2)

Q27MHT CET 2025 · 23 APR · SHIFT 2Easy

Magnetic Flux & Faraday's Law

A coil of n turns and resistance RΩR\Omega is connected in series with resistance R/4R/4. 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+R4=5R4R + \frac{R}{4} = \frac{5R}{4}
  2. Emf e=n(ϕ1−ϕ2)te = \frac{n(\phi_1 - \phi_2)}{t}
  3. I=e5R/4=4n(ϕ1−ϕ2)5RtI = \frac{e}{5R/4} = \frac{4n(\phi_1 - \phi_2)}{5Rt}
  4. So the answer is (b) 4n(ϕ1−ϕ2)5Rt\frac{4n(\phi_1 - \phi_2)}{5Rt}.
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