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(A) The magnetic field intensity $H$ and magnetization $M$ are related to the magnetic flux density $B$ by the equation: $B = \mu_0(H + M)$.Dividing b

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$\chi = \mu_r - 1$

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(A) The magnetic field intensity $H$ and magnetization $M$ are related to the magnetic flux density $B$ by the equation: $B = \mu_0(H + M)$.Dividing by $H$, we get $B/H = \mu_0(1 + M/H)$.Since $B/H = \mu$ (absolute permeability) and $M/H = \chi$ (magnetic susceptibility), we have $\mu = \mu_0(1 + \chi)$.Dividing by $\mu_0$, we get $\mu/\mu_0 = 1 + \chi$.Since the relative permeability $\mu_r = \mu/\mu_0$, we obtain the relation $\mu_r = 1 + \chi$, which can be rearranged as $\chi = \mu_r - 1$.

The relation between the magnetic susceptibility $\chi$ and the relative magnetic permeability $\mu_r$ is:

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