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AIIMS2014PhysicsElectromagnetic Induction

Two conducting circular loops of radii R₁ and R₂ are placed in the same plane with their centres coinciding. If R₁>R₂ , the mutual inductance M between them will be directly proportional to

Options

  1. AR₁ R₂
  2. BR₂ R₁
  3. CR₁^2 R₂
  4. DR₂^2 R₁

Correct answer

D. R₂^2 R₁

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 ( R₂^2 ) Now, M= ₂ i₁ = ₀ R₂^2 2 R₁ M R₂^2 R₁ .

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