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MHT CET202615 April 2026Morning ShiftPhysicsElectromagnetic InductionActual

A coil of 'n' turns and resistance R , is connected in series with a resistance R/4 . The combination is moved for time 't' second through flux ₁ to ₂ . The induced current in the circuit is

Options

  1. A4n( ₁ - ₂) 5RT
  2. B5n^2( ₁ - ₂) 4RT
  3. C2n( ₁ - ₂) 3RT
  4. D3n( ₁ - ₂) 4RT

Correct answer

A. 4n( ₁ - ₂) 5RT

Step-by-step solution

The total resistance of the circuit is given by the sum of the coil's resistance and the series resistance: R_ eq = R + R 4 = 5R 4 According to Faraday's law of electromagnetic induction, the average induced emf in a coil of n turns is: E = -n t = -n ₂ - ₁ t = n( ₁ - ₂) t The induced current in the circuit is the ratio of the induced emf to the total resistance: I = E R_ eq = n( ₁ - ₂) t 5R 4 = 4n( ₁ - ₂) 5Rt Using T for time as given in the options, the induced current is 4n( ₁ - ₂) 5RT .

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