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Q.

The magnetic field $(B)$ inside a long solenoid having $n$ turns per unit length and carrying current $I$ when iron core is kept in it is ( $μ_{0} =$ permeability of vacuum, $χ$ = magnetic susceptibility)

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a

$μ_{0} n i (1 + χ)$

b

$μ_{0} n i χ$

c

$μ_{0} n i^{2} (1 + χ)$

d

$μ_{0} n i (1 - χ)$

answer is D.

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Detailed Solution

Magnetic field inside a long solenoid with an iron core inside it is $B = μ n i$

But, $μ = μ_{0} (1 + χ)$

$∴ B = μ_{0} (1 + χ) n i$

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