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MHT CET202611 April 2026Evening ShiftPhysicsElectromagnetic InductionActual

A coil having 'n' turns and resistance 'R' is connected with a galvanometer of resistance '2R'. This combination is moved in time 't' from flux ₁ to ₂ Wb. The induced current in the circuit is

Options

  1. An( ₁ - ₂) Rt
  2. Bn( ₂ - ₁) Rt
  3. Cn( ₂ - ₁) 3Rt
  4. Dn( ₂ - ₁) 2Rt

Correct answer

C. n( ₂ - ₁) 3Rt

Step-by-step solution

The total resistance of the circuit is the sum of the resistance of the coil and the galvanometer. R_ eq = R + 2R = 3R According to Faraday's law of electromagnetic induction, the magnitude of the average induced emf is given by the rate of change of total magnetic flux: |E| = n | | t = n( ₂ - ₁) t The induced current in the circuit is the ratio of the induced emf to the total resistance: I = |E| R_ eq = n( ₂ - ₁) 3Rt Answer: n( ₂ - ₁) 3Rt

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