Physics - Magnetism Question with Solution | TestHub

Given,
Susceptibility of material, ${\chi }_m=2\times 10^{-2}$
Using ${\mu }_{\mathrm{r}}=1+{\chi }_{\mathrm{m}}=1+0.02=1.02$
${\mathrm{B}}_{\text{final }}={\mu }_{\mathrm{r}}{\mathrm{B}}_0$ (here, ${\mathrm{B}}_0=$ initial magnetic field)
$\%$ increase in magnetic field
$=\frac{{\mathrm{B}}_{\text{final }}-{\mathrm{B}}_0}{{\mathrm{B}}_0}\times 100=\frac{{\mu }_{\mathrm{r}}{\mathrm{B}}_0-{\mathrm{B}}_0\times 100}{{\mathrm{B}}_0}$
$=\frac{(\chi +1)-1\times 100}{1}=0.02\times 100=2\%$