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

• A. $2.4\pi \times {10}^{-7}{\text{T Am}}^{-1}$
• B. $8.0\times {10}^{-5}{\text{T Am}}^{-1}$
• C. $2.4\pi \times {10}^{-4}{\text{T Am}}^{-1}$
• D. $16\pi \times {10}^{-5}{\text{T Am}}^{-1}$

Answer 1

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

Given, The magnetic susceptibility $\chi =599$
The relation between relative permeability and magnetic susceptibility is,

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

The permeability of the material is,

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

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

$=2.4\pi \times {10}^{-4}{\text{T Am}}^{-1}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(C\right)$ is the correct answer.