Question

A solenoid has a core of material with relative permeability $500$ and its windings carry a current of $1$ A. The number of turns of the solenoid is $500$ per metre. The magnetization of the material is nearly is:

• A. $2.5\times {10}^{3}A{m}^{-1}$
• B. $2.5\times {10}^{5}A{m}^{-1}$
• C. $2.0\times {10}^{3}A{m}^{-1}$
• D. $2.0\times {10}^{5}A{m}^{-1}$

Answer 1

The correct option is B $2.5\times {10}^{5}A{m}^{-1}$

Given,

${\mu }_r=500,I=1A,n=500m^{-1}$

$B={\mu }_0{\mu }_{r}nI=0.314T$

$H=\frac{B}{\mu }=500$

$B={\mu }_0(m+H)$

$\Rightarrow \frac{B}{{\mu }_0}-H=m=249373=2.5\times {10}^{5}A{m}^{-1}$