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A solenoid has core of a material with relative permeability 500 and it carries a current of 1A. The number of turns of the solenoid is 500 per metre. The intensity of magnetization of the material is nearly

a
2.5×103 A/m
b
2.5×105 A/m
c
2×103 A/m
d
2×105 A/m

detailed solution

Correct option is B

n = 500 turns/m, i = 1 A, μr=500Magnetic field strength H=ni=500×i=500 A/mAs μr=1+χ, magnetic susceptibility K=μr−1=500−1=499∴ Magnetization I=χH=499×500 Am−1=2.5×105Am−1

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