Physics - Magnetism Question with Solution | TestHub

The total magnetic field $B$ inside a magnetic material is the sum of the external magnetic field and the field due to magnetization of the material.

$B={\mu }_0(H+M)$

The magnetization $M$ is directly proportional to the magnetic intensity $H$, given by $M=\chi H$, where $\chi$ is the magnetic susceptibility.

Substituting $M=\chi H$ in the equation for $B$:

$B={\mu }_0(H+\chi H)$

$B={\mu }_{0}H(1+\chi )$

$\frac{B}{H}={\mu }_0(1+\chi )$

Answer: $\frac{B}{H}={\mu }_0(1+\chi )$