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Question

Physics Question on Inductance

At the mid point along the length of a long solenoid, the magnetic field is equal to x. If the length of the solenoid is doubled and the current is reduced to half, the field at the new mid point will be nearest to

A

x

B

2x

C

x/2

D

x/4

Answer

x/4

Explanation

Solution

When solenoid is doubled, B' = μ0n2I12=x4\mu_0 \frac{n}{2} \frac{I_1}{2} = \frac{x}{4}