There are two long co-axial solenoids of same length l . The inner and outer coils have radii r₁ and r₂ and number of turns per unit length n ₁ and n ₂ , respectively. The ratio of mutual inductance to the self-inductance of the inner-coil

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There are two long co-axial solenoids of same length l . The inner and outer coils have radii r₁ and r₂ and number of turns per unit length n ₁ and n ₂ , respectively. The ratio of mutual inductance to the self-inductance of the inner-coil is :

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Correct answer: D. n₂ n₁

The rate of mutual inductance is given by M = ₀ n , n ₂ r ₁² ( i ) The rate of self inductance is given by L = ₀ n ₁² r ₁² ( ii ) Dividing (i) by (ii) M L = n ₂ n ₁

There are two long co-axial solenoids of same length l . The inner and outer coils have radii r₁ and r₂ and number of turns per unit length n ₁ and n ₂ , respectively. The ratio of mutual inductance to the self-inductance of the inner-coil is :

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