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Question 20186
JEE Physics · Hard

Electromagnetic Induction and Alternating Current: Coefficient of Coupling MCQ

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Coefficient of CouplingHardQuestion 20186

Question

Coefficient of coupling k between two coils with self-inductances L₁ and L₂ and mutual inductance M is:
  1. A
    M/(L₁+L₂)
  2. B
    M/√(L₁L₂)
    Correct
  3. C
    M²/(L₁L₂)
  4. D
    M/√(L₁+L₂)

Correct answer

M/√(L₁L₂)

Explanation

k = M/√(L₁L₂). It ranges from 0 (no coupling) to 1 (perfect coupling). For k = 1: M = √(L₁L₂) — all flux from coil 1 threads coil 2.

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