The magnetic induction and magnetising field | vedclass

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Question

(B) The magnetic induction $B$ in a material is given by the relation: $B = \mu_0(M + H)$,where $M$ is the intensity of magnetization and $H$ is the m

Vedclass · Accepted Answer

$\frac{B}{\mu_0 H}-1$

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(B) The magnetic induction $B$ in a material is given by the relation: $B = \mu_0(M + H)$,where $M$ is the intensity of magnetization and $H$ is the magnetising field intensity. We know that the magnetic susceptibility $\chi_m$ is defined as the ratio of magnetization to the magnetising field intensity: $M = \chi_m H$. Substituting this into the first equation: $B = \mu_0(\chi_m H + H) = \mu_0 H(\chi_m + 1)$. Rearranging the terms to solve for $\chi_m$: $\frac{B}{\mu_0 H} = \chi_m + 1$. Therefore,$\chi_m = \frac{B}{\mu_0 H} - 1$.

The magnetic induction and magnetising field intensity in a sample of magnetic material are $B$ and $H$ respectively. The magnetic susceptibility of the material is

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