Question

The magnetic susceptibility of a medium is $0.825$. Its relative permeability is

• A. $1.825$
• B. $2.085$
• C. $4.885$
• D. $0.825$

Answer 1

The correct option is A

$1.825$

Step 1 : Concept :

1. Magnetic susceptibility is the ratio between magnetization and magnetic field strength.
2. Relative permeability is defined as the ratio of the material permeability to the permeability of free space.
3. Permeability is defined as a constant of proportionality that exists between magnetic induction and magnetic field intensity.

Step 2 : Calculation :

We have given that the magnetic susceptibility of a medium is $0.825$.

The formula to calculate the relative permeability is :

${\mathrm{\mu }}_{\mathrm{r}}=1+{\mathrm{\chi }}_{\mathrm{m}}$

Where ${\mathrm{\mu }}_{\mathrm{r}}$ = relative permeability, ${\mathrm{\chi }}_{\mathrm{m}}$ = magnetic susceptibility.

Substituting the values in the formula :

$$\begin{gathered} {\mathrm{\mu }}_{\mathrm{r}}=1+0.825 \\ {\mathrm{\mu }}_{\mathrm{r}}=1.825 \end{gathered}$$

Hence option $\left(\mathrm{A}\right)$ is correct option.