Question

A long solenoid has self inductance l if its length is doubled

Answer 1

Answer:

The new self inductance is $\dfrac{L}{2}$

Explanation:

Suppose, If its length is doubled keeping total number of turns constant then its new self inductance will be

We need to calculate the self inductance of the solenoid

Using formula of self inductance

$L=\dfrac{\mu N^2 A}{l}$

Where, N = number of turns

A = area of cross section

l = length

If the length is doubled then the self inductance

Put the value of length

$L'=\dfrac{\mu N^2 A}{2l}$

$L'=\dfrac{1}{2}\times\dfrac{\mu N^2 A}{l}$

$L'=\dfrac{L}{2}$

Hence, The new self inductance is $\dfrac{L}{2}$

Answer 2

Explanation:

u just have to remember that by increasing l , the inductance will become half ...

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