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Question 20233
JEE Physics · Hard

Electromagnetic Induction and Alternating Current: Mutual Inductance — Coaxial Solenoids MCQ

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Mutual Inductance — Coaxial SolenoidsHardQuestion 20233

Question

Two coaxial solenoids: inner (n₁ turns/m, length l, area A) and outer (n₂ turns/m, same length). Their mutual inductance M is:
  1. A
    μ₀n₁n₂Al
    Correct
  2. B
    μ₀(n₁+n₂)Al
  3. C
    μ₀n₁n₂Al/2
  4. D
    μ₀n₁n₂l/A

Correct answer

μ₀n₁n₂Al

Explanation

Flux from inner solenoid B₁ = μ₀n₁I₁ links through area A of each turn of the outer. Total flux linkage Ψ₂ = n₂l × B₁ × A = μ₀n₁n₂AlI₁. M = Ψ₂/I₁ = μ₀n₁n₂Al.

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