Question

The magnetic susceptibility of a material of a rod is $499$. Permeability in vacuum is $4\pi \times {10}^{-7}\text{H/m}$. Absolute permeability of the material of the rod is :

• A. $2\pi \times {10}^{-4}\text{H/m}$
• B. $3\pi \times {10}^{-4}\text{H/m}$
• C. $\pi \times {10}^{-4}\text{H/m}$
• D. $4\pi \times {10}^{-4}\text{H/m}$

Answer 1

The correct option is A $2\pi \times {10}^{-4}\text{H/m}$

Given:
${\mu }_0=4\pi \times {10}^{-7}\text{H/m};\chi =499$

So, absolute permeability of the material is given by,

$\mu ={\mu }_0{\mu }_r={\mu }_0(1+\chi )$

$\mu =4\pi \times {10}^{-7}\times 500=2\pi \times {10}^{-4}\text{H/m}$

Therefore, the correct option is $\left(\text{B}\right)$.