Question

The magnetic susceptibility of a medium is 0.825. Its relative permeability is
1) 1.825
2) 825
3) 285
4) 1825

Answer 1

Hint: Magnetic susceptibility is the ratio between magnetization and magnetic field strength. Paramagnetism and diamagnetism can be defined by magnetic susceptibility. If magnetic susceptibility is less than zero and it’s anti-aligned, then the material is diamagnetic. If magnetic susceptibility is more than zero and it’s aligned, then the material is paramagnetic.

Complete step by step answer:
Given:
The value of magnetic susceptibility is ${\chi _m} = 0.825$.
As the magnetic susceptibility is given and permeability is also given then we nd the value of absolute permeability by using the formula:
${\mu _r} = 1 + {\chi _m}$
Here, ${\chi _m}$ is the magnetic susceptibility and ${\mu _r}$ is the relative permeability.
We will now substitute ${\chi _m} = 0.825$ in the above equation to find the value ${\mu _r}$ .
$\begin{array}{l}
{\mu _r} = 1 + {\chi _m}\\
 = 1 + 0.825\\
 = 1.825 \\
\end{array}$
There the relative permeability is 1.825, and the correct option is (1).

Additional Information: Magnetic susceptibility demonstrates whether material is attracted towards or repelled away from a magnetic field. Paramagnetic materials align with the externally applied field. They are attracted to regions of higher magnetic fields. Diamagnetic materials are anti-aligned with external magnetic fields. They are repelled toward areas of lower magnetic fields. With the application of an external magnetic field, the magnetization takes into account the magnetic field of the material itself.

Note:The total magnetization of the material and volume is provided by a related parameter called permeability. A quantitative measure of the magnetic susceptibility also includes information about the material’s structure, its bonding and energy levels. Along with that, it is widely used in geology, palaeontology and gemology.