A magnetic material of volume $30 c m^{3}$ is placed in a magnetic field of intensity $5$ oersted. The magnetic moment produced due to it is $6 A m^{2}$ . The value of magnetic induction will be

0.25 T

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0.025 T

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0.0025 T

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25 T

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Solution

The correct option is A $0.25 T$
The magnetization , $I =$ magnetic moment pet unit volume $= \frac{6}{30 \times 10^{- 6}} = 0.2 \times 10^{6} A / m$ and $H = 5$ oersted $= 5 \times 79.57 = 397.85 N / m$
The relation between B, H and I is given by $B = μ_{0} (H + I) = 4 π \times 10^{- 7} (397.85 + 0.2 \times 10^{6}) = 0.251 T$

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