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MHT CET2012PhysicsElectromagnetic Induction

Two different coils of self inductance L₁ and L₂ are placed close to each other so that the effective flux in one coil is completely linked with other. If M is the mutual inductance between them, then

Options

  1. AM=L₁ / L₂
  2. BM=L₁ L₂
  3. CM= L₁ L₂
  4. DM= (L₁ L₂ )²

Correct answer

C. M= L₁ L₂

Step-by-step solution

We know that, M=- e₂ d i₁ / d t =- e₁ d i₂ / d t Also, e₁=-L₁ d i₁ d t and e₂=-L₂ d i₂ d t array ll & M²= e₁ e₂ ( d i₁ d t ) ( d i₂ d t ) =L₁ L₂ & M= L₁ L₂ array

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