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Question: Answered & Verified by Expert
The relationship between relative magnetic permeability ' $\mu_r$ ' of a substance and its magnetic susceptibility ' $x$ ' is given by $\qquad$
PhysicsMagnetic Properties of MatterJEE Main
Options:
  • A $\mu_r=1-\chi$
  • B $\mu_r=1+\chi^2$
  • C $\mu_r=1+\chi$
  • D $\mu_r=1-\chi^2$
Solution:
1832 Upvotes Verified Answer
The correct answer is: $\mu_r=1+\chi$
The above derivation can be expressed as
$\begin{aligned}
B & =B_0+B_m \Rightarrow B=\mu_0 H+\mu_0 M=\mu_0 H(1+\chi) \\
\mu_r & =1+\chi\left(\because \mu_r=B / H\right)
\end{aligned}$

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