There are two long co-axial solenoids of same length l . The inner and outer coils have radii r 1 and r 2 and number of turns per unit length n 1 and n 2 , respectively. The ratio of mutual in

Question

There are two long co-axial solenoids of same length l . The inner and outer coils have radii r 1 ​ and r 2 ​ 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 :

TestHub · Accepted Answer

The rate of mutual inductance is given by M = μ 0 ​ n , n 2 ​ π r 1 2 ​ … ( i ) The rate of self inductance is given by L = μ 0 ​ n 1 2 ​ π r 1 2 ​ … ( ii ) Dividing (i) by (ii) ⇒ L M ​ = n 1 ​ n 2 ​ ​

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