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

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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