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Question

Physics Question on Electromagnetic induction

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 nn is the number of turns per length \therefore Self inductance is directly proportional to n2n^{2} Self inductance becomes 44 times when nn is doubled