Question

Relative permeability of iron is $5500$. If the magnetizing field strength of the applied field is $1\text{A/m}$, the intensity of magnetization of iron will be -

• A. $4499\text{A/m}$
• B. $5499\text{A/m}$
• C. $3499\text{A/m}$
• D. $6499\text{A/m}$

Answer 1

The correct option is B $5499\text{A/m}$

Relative permeability $\left({\mu }_r\right)$ of a material and susceptibility $\left(\chi \right)$ are related as,

${\mu }_r=1+\chi$

$\therefore \chi ={\mu }_r-1=5500-1=5499$

Further, magnetization,

$I=\chi H=5499\times 1=5499\text{A/m}$

Hence, option $\left(B\right)$ is the correct answer.