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Question

Physics Question on Inductance

If N is the number of turns in a coil, the value of self inductance varies as

A

N0N^0

B

N

C

N2N^2

D

N2N^{-2}

Answer

N2N^2

Explanation

Solution

L=Nϕi;ϕ=BA;B=μ0ni=μ0NilL=\frac{N\phi}{i}; \phi=BA; B=\mu_0ni=\frac{\mu_0 Ni}{l}
L=μ0N2lA=μn2AlL=\frac{\mu_0N^2}{l}A=\mu n^2 \, \, A \, l
where n is the number of tums/unit length L?N2L? N^2