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MHT CET Medical202625 April 2026Evening ShiftPhysicsElectromagnetic InductionActual

Two coils have mutual inductance of 0.004 H . The current changes in the first coil according to the relation i = i₀ t , where i₀ = 6 A and = 100 rad/s . The maximum value of emf induced in second coil is

Options

  1. A1.2 V
  2. B2.4 V
  3. C12 V
  4. D24 V

Correct answer

B. 2.4 V

Step-by-step solution

The induced emf in the second coil is given by e = -M di dt . Given i = i₀ t , differentiating with respect to time gives di dt = -i₀ t . Substituting this into the emf equation gives e = M i₀ t . The maximum value of the induced emf is e_ max = M i₀ . Substituting the given values M = 0.004 H , i₀ = 6 A , and = 100 rad/s : e_ max = 0.004 6 100 = 2.4 V . Answer: 2.4 V

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