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Question

Physics Question on Electromagnetic induction

If ‘N’ is the number of turns in a circular coil, the value of its self-inductance varies as

A

N0

B

N3

C

N2

D

N1

Answer

N2

Explanation

Solution

The self-inductance, denoted by L, is given by:
L = μ0N2Al\frac {μ₀ * N² * A}{l}
where:
μ₀ is the permeability of free space,
N is the number of turns in the coil,
A is the cross-sectional area of the coil,
and l is the length of the coil. From the equation,
We can see that the self-inductance (L) varies as the square of the number of turns (N²).
Therefore, the correct answer is (C) N².