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Question

Physics Question on Inductance

If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will

A

remain unchanged

B

be halved

C

be doubled

D

become four times

Answer

become four times

Explanation

Solution

Self inductance of a solenoid =μ0n2Al=\mu_0 n^2 Al
where n is the number of turns/length.
So self induction μ0n2\mu_0 n^2
So inductance becomes 4 times when n is doubled.