Question

Relative permeability of iron is 5500 then its magnetic susceptibility will be

Answer 1

Given Relative permeability of iron is 5500 then its magnetic susceptibility will be

A para magnetic material has a constant relative permeability slightly more than one. The magnetic constant is also known as the permeability constant μ₀

So X max = (μ r - 1 )

                = (5500 - 1)

  X max = 5499

Answer 2

magnetic susceptibility is the ratio of magnetisation, $\mathbf{M}$ to magnetic field intensity,$\mathbf{H}$ it is measure of how much a material will become magnetised in an applied magnetic field.

e.g., $\chi=\frac{\mathbf{M}}{\mathbf{H}}$

here given,

relative permeability of iron, $\mu_r$ = 5500

use the relation,

$\mu=\mu_0(1+\chi)$

or, $\frac{\mu}{\mu_0}=\mu_r=1+\chi$

or, $\chi=\mu_r-1$

hence, magnetic susceptibility, $\chi$ = 5500 - 1 = 5499