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Question

A magnetising force of $$360 Am^{-1}$$ produces a magnetic flux density of $$0.6 T$$ in a ferromagnetic material. The susceptibility of the material is: 


A
1625
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B
1329
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C
2105
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D
1914
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Solution

The correct option is B $$1329$$
Permeability of material, $$\mu  = \frac{B}{\mu } = \frac{{0.6}}{{360}} = 1.67 \times {10^{ - 3}}{T^{ - 1}}\,Am$$ 
$$\mu  = {\mu _0}\left( {1 + {X_m}} \right)$$
$$\therefore $$ Susceptibility, $${X_m} = \frac{\mu }{{{\mu _0}}} - 1 = \frac{{1.67 \times {{10}^{ - 3}}}}{{47 \times {{10}^{ - 7}}}} - 1 = 1329$$
Hence, Option $$B$$ is correct.

Physics

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