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MHT CET202012 Oct 2020Morning ShiftPhysicsElectromagnetic InductionActual

Two coaxial coils A and B of radii 'R ' and 'Rz' are placed in the same plane. (R ₂> R ₁ ). If a current is passed through coil B , the coefficient of mutual inductance between the coils is proportional to

Options

  1. A1 R ₁ R ₂
  2. BR ₂² R ₁
  3. CR₁ R₂
  4. DR ₁² R ₂

Correct answer

D. R ₁² R ₂

Step-by-step solution

Magnetic field at the centre of primary coil B= ₀ i₁ / 2 R₁ . Considering it to be uniform, magnetic flux passing through secondary coil is ₂=B A= ₀ i₁ 2 R₁ ( R₂² ) Now, M= ₂ i₁ = ₀ R₂² 2 R₁ M R₂² R₁ .

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