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Question

Question: The self inductance of a long solenoid cannot be increased by...

The self inductance of a long solenoid cannot be increased by

A

Increasing its area of cross section

B

Increasing its length

C

Increasing the current through it

D

Increasing the number of turns in it

Answer

Increasing the current through it

Explanation

Solution

The self inductance of a long solenoid is given by

L=μ0N2AlL = \frac{\mu_{0}N^{2}A}{l}

Where

N = number of turns

L = Length

A = Cross sectional area

From the above expression it is clear that the self inductance of a long solenoid does not depend upon the current flowing through it.