Physics - Magnetism Question with Solution | TestHub

The total magnetic field $B$ in a magnetic material is given by $B={\mu }_0(H+M)$, where $H$ is the magnetic intensity and $M$ is the magnetization.

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

Substituting $M$ in the first equation, we get $B={\mu }_0(H+\chi H)={\mu }_{0}H(1+\chi )$.

Rearranging the terms, we get $\frac{B}{H}={\mu }_0(1+\chi )$.

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