Question

The magnetic susceptibility of a material of a rod is 499 . Permeability in vacuum is \(4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}\). Absolute permeability of the material of the rod is:
(1) \(4 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}\)
(2) \(2 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}\)
(3) \(3 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}\)
(4) \(\pi \times 10^{-4} \mathrm{H} / \mathrm{m}\)

Answer 1

Correct option is (2) \(2 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}\)
$$
\begin{aligned}
&\mu=\mu_{0}\left(1+\mathrm{x}_{\mathrm{m}}\right) \\
&=4 \pi \times 10^{-7} \times 500 \\
&=2 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}
\end{aligned}
$$

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