Physics - Magnetism Question with Solution | TestHub

The magnetic permeability of a material is given by $\mu ={\mu }_0{\mu }_r$, where ${\mu }_0$ is the permeability of free space and ${\mu }_r$ is the relative permeability.

The relative permeability is related to the magnetic susceptibility $\chi$ by the equation ${\mu }_r=1+\chi$.

Substituting ${\mu }_r=\frac{\mu }{{\mu }_0}$ into the equation, we get:

$\frac{\mu }{{\mu }_0}=1+\chi$

$\chi =\frac{\mu }{{\mu }_0}-1$

Answer: $\chi =\frac{\mu }{{\mu }_0}-1$