Question

The relative permeability is represented by${\mu }_r$ and susceptibility is denoted by $\chi$ for a magnetic substance then for a paramagnetic substance.

• A. ${\mu }_r<1,\chi <0$
• B. ${\mu }_r<1,\chi >0$
• C. ${\mu }_r>1,\chi <0$
• D. ${\mu }_r>1,\chi >0$

Answer 1

The correct option is D ${\mu }_r>1,\chi >0$

Magnetic susceptibility is a dimensionless proportionality constant that indicates the degree of magnetization of a material in response to an applied magnetic field.

$M=\chi H$

where, $M$ is the magnetization of material, $H$ is the magnetic field strength.

Therefore, $\chi >0$

Permeability is the measure of the ability of a material to support the formation of a magnetic field within itself. Hence, it is the degree of magnetization that a material obtains in response to an applied magnetic field.

$B=\mu H$

where, $B$ is magnetic field, $H$ is auxiliary magnetic field.

$\mu >{\mu }_0$

${\mu }_r=\frac{\mu }{{\mu }_0}>1$