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Q.

A solenoid has core of a material with relative permeability 501 , its winding carry a current of 1 A and the number of turns of solenoid is 500 per meter. The magnetization of the material is

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a

${2×10}^{5} {A-m}^{-1}$

b

${2.5×10}^{3} {A-m}^{-1}$

c

${2×10}^{3} {A-m}^{-1}$

d

${2.5×10}^{5} {A-m}^{-1}$

answer is B.

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Detailed Solution

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Given :

$n=500 turns/m$
$i=1 A$
$μ_{r} = 501$
Now, Magnetic susceptibility $' χ'$ , Magnetic intensity=H,
$H=ni$ = ${500×1=500 A-m}^{-1}$
And $χ = (μ_{r} - 1)$
Magnetization $M = χ . H$
$\Rightarrow M = (μ_{r} - 1) H$ ${=500×500=2.5×10}^{5} {A-m}^{-1}$ .

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