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The self inductance of a solenoid of len...

The self inductance of a solenoid of length L, area of cross-section A and having N turns is-

A

`mu_(0)Nl`

B

`mu_(0)NAl`

C

`mu_(0) (NA)/(l)`

D

`mu_(0) (N^(2)A)/(l)`

Text Solution

Verified by Experts

The correct Answer is:
D
`B = mu_(0)ni = (mu_(0)Ni)/(l)`
`phi = NB xx A`
`= (mu_(0)N^(2)Ai)/(l)`
`L = (phi)/(3) = (mu_(0)N^(2)A)/(l)`
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