Question

An iron rod of susceptibility $599$ is subjected to a magnetising field of $1200{\text{Am}}^{-1}$. The permeability of the material of the rod is :$({\mu }_0=4\pi \times {10}^{-7}{\text{T mA}}^{-1})$

• A. $2.4\pi \times {10}^{-5}{\text{T mA}}^{-1}$
• B. $2.4\pi \times {10}^{-7}{\text{T mA}}^{-1}$
• C. $2.4\pi \times {10}^{-4}{\text{T mA}}^{-1}$
• D. $8\times {10}^{-5}{\text{T mA}}^{-1}$

Answer 1

The correct option is C $2.4\pi \times {10}^{-4}{\text{T mA}}^{-1}$

Given,
${\chi }_m=599$, ${\mu }_0=4\pi \times {10}^{-7}{\text{T mA}}^{-1}$
$H=1200\text{A/m}$
We know that,
Permeability of the material, $\mu ={\mu }_0(1+{\chi }_m)$
$\Rightarrow \mu =4\pi \times {10}^{-7}(1+599)$
$\therefore \mu =2.4\pi \times {10}^{-4}{\text{T mA}}^{-1}$