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The self inductance L of a solenoid of l...

The self inductance L of a solenoid of length l and area of cross-section A, with a fixed number of turns N increases as

A

`1` and `A` increases

B

`1` decreases and `A` increases

C

`1` increases and `A` decreases

D

both `1` and `A` decreases

Text Solution

Verified by Experts

The correct Answer is:
B
The self-inductance of a long solenoid of cross-sectinal area `A` and length `1`, having `n` turns per unit length, filled the inside of `s` the solenoid with a material of relative permeability (e.g., soft iron, which has a high value of relative permeability) is given by
`L = mu_(r ) mu_(0)n^(2)Al`
where, `" "n = N//1`
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