Question

Magnetic susceptibility of a material is$499$ &${\mu }_0=4\pi \times {10}^{-7}SIunit$. Then find${\mu }_r$

• A. $500$
• B. $400$
• C. $300$
• D. $200$

Answer 1

The correct option is A

$500$

Step 1. Given data:

Magnetic susceptibility of material$\left({\chi }_m\right)=499$.

Free space permeability$\left({\mu }_0\right)=4\pi \times {10}^{-7}SIunit$.

Step 2: Formula used:

The relative permeability of the material of the rod is defined as the ratio of the permeability of the material to the free space permeability.

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

Step 3. Calculation of${\mu }_r$:

$\begin{array}{rcl}{\mu }_r& =& 1+499\\ & =& 500\end{array}$

Thus, the relative permeability is $500$

Hence, option A is the correct answer.