Question

The permeability of a material is $628\times {10}^{-6}\text{SI unit}$. Its magnetic susceptibility will be -

Take, ${\mu }_o=4\pi \times {10}^{-7}\text{SI unit}$

• A. $500$
• B. $499$
• C. $50$
• D. $49$

Answer 1

The correct option is B $499$

Relative permeability of a material is,

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

As, ${\mu }_r=\frac{\mu }{{\mu }_o}$

$\Rightarrow \frac{\mu }{{\mu }_o}=1+\chi$

$\therefore \chi =\frac{\mu }{{\mu }_o}-1$

$\Rightarrow \chi =\frac{628\times {10}^{-6}}{4\pi \times {10}^{-7}}-1$

$\Rightarrow \chi =499$