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There are two long co-axial solenoids of...

There are two long co-axial solenoids of same length l. The inner and other coils have redii `r_(1)` and `r_(2)` and number of turns per unti length `n_(1)` and `n_(2)` respectively .The reatio of mutual inductance to the self - inductance of the inner- coil is :

A

`(n_2)/(n_1).(r_2^2)/(r_1^2)`

B

`(n_2)/(n_1)`

C

`(n_1)/(n_2)`

D

`(n_2)/(n_1).(r_1)/(r_2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Mutual inductance `= mu_0n_1n_2 R_2^2l`
Self inductance of inner solenoid `= mu_0n_1^2 R_2^2 l`
Ratio `=n_2/n_1`
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