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 n1 and n2, respectively. The ratio of mutual inductance to the self - inductance of the inner-coil is :

Question

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 n₁ and n₂, respectively. The ratio of mutual inductance to the self - inductance of the inner-coil is :

${{{n_2}} \over {{n_1}}}.{{{r_2}^2} \over {{r_1}^2}}$

${{{n_2}} \over {{n_1}}}$

${{{n_1}} \over {{n_2}}}$

${{{n_2}} \over {{n_1}}}.{{{r_1}} \over {{r_2}}}$

Solution

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