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NEST2019PhysicsElectromagnetic Induction

A torus with mean radius r₀ and uniform cross sectional area a a carries a coil with N turns wound uniformly around it. The medium in the torus is air. A straight, long wire carrying current I passes through the centre of the torus. The wire is perpendicular to the plane of the torus. Assuming r₀ a , the mutual inductance between the coil and the wire is

Options

  1. A₀ r₀ (1+a^2 / r₀^2 ) 4 N
  2. B₀ r₀ (1+r₀^2 / a^2 ) 4 N
  3. C₀ a^2 2 r₀ N
  4. D₀ a^2 2 2 r₀ N

Correct answer

C. ₀ a^2 2 r₀ N

Step-by-step solution

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