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

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 per length

\thereforeSelf inductance is directly proportional to n2n^{2} self inductance becomes 4 times when n is doubled.