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NEET2021PhysicsElectromagnetic InductionActual

Two conducting circular loops of radii R 1 and R 2 are placed in the same plane with their centres coinciding. If R 1 ≫ R 2 , the mutual inductance M between them will be directly proportional to:

Options

  1. AR 1 R 2
  2. BR 2 R 1
  3. CR 2 2 R 1
  4. DR 1 2 R 2

Correct answer

C. R 2 2 R 1

Step-by-step solution

M = ϕ 12 I 1 = B 1 A 2 I 1 = μ 0 I 1 2 R 1 π R 2 2 I 1 M = μ 0 π R 2 2 2 R 1 ∴   M ∝ R 2 2 R 1

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