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Mutual inductance in the figure shown is -

Options

  1. AZero
  2. Bμ 0 b 2 π log e a b
  3. Cμ 0 b 2 π y log e 1 + b a
  4. Dμ 0 b 2 π log e ⁡ 1 + a b

Correct answer

D. μ 0 b 2 π log e ⁡ 1 + a b

Step-by-step solution

ϕ = M I = ∫ B . d A M I = ∫ a a + b μ 0 I 2 π x × b d x M = μ 0 b 2 π ∫ a a + b d x x M = μ 0 b 2 π log e ⁡ a + b a M = μ 0 b 2 π log e ⁡ 1 + b a

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