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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_1/r_2`

B

`n_2/n_1`

C

`n_1/n_2`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B

Self inductance `L=mu_0n_1^2 pir_1^2l`
Mutual-inductance : `phi_1=(mu_0n_2 i) pir_1^2n_1l=(mu_0n_1n_2pir_1^2l)i`
i.e. `M=mu_0n_1n_2pir_1^2l`
So, `M/L=n_2/n_1 `
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