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Question

A solenoid has a core of material with relative permeability $$500$$ and its windings carry a current of $$1$$ A. The number of turns of the solenoid is $$500$$ per metre. The magnetization of the material is nearly is:


A
2.5×103Am1
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B
2.5×105Am1
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C
2.0×103Am1
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D
2.0×105Am1
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Solution

The correct option is B $$2.5 \times 10^5 A m^{-1}$$
Given,
$$\mu_{r}=500, I= 1 A, n=500\, m^{-1}$$
$$B=\mu_{0}\mu_{r} \,nI=0.314\, T$$
$$H=\cfrac{B}{\mu}=500$$
$$B=\mu_{0}(m+H)$$
$$\Rightarrow \cfrac{B}{\mu_{0}}-H=m=249373=2.5\times 10^{5} Am^{-1}$$


Physics

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