Question

An iron rod of susceptibility $599$ is subjected to a magnetizing field of $1200{\text{Am}}^{-1}$. The permeability of the material of the rod is :

Take, ${\mu }_0=4\pi \times {10}^{-7}{\text{TmA}}^{-1}$

• A. $2.4\pi \times {10}^{-4}{\text{TmA}}^{-1}$
• B. $2.4\pi \times {10}^{-7}{\text{TmA}}^{-1}$
• C. $2.4\pi \times {10}^{-5}{\text{TmA}}^{-1}$
• D. $2.4\pi \times {10}^{-3}{\text{TmA}}^{-1}$

Answer 1

The correct option is A $2.4\pi \times {10}^{-4}{\text{TmA}}^{-1}$

Given:

$H=1200\text{A/m}$
$\chi =599$

Now,

${\mu }_r=1+\chi =1+599=600$

So,

$\mu ={\mu }_0{\mu }_r$

$\Rightarrow \mu =4\pi \times {10}^{-7}\times 600$

$\Rightarrow \mu =2.4\pi \times {10}^{-4}{\text{TmA}}^{-1}$

Hence, option $\left(D\right)$ is correct.