Question

A solenoid has core of a material with relative permeability $500$ and its windings carry a current of $1\, A$. The number of turns of the solenoid is $500\text{ }{{m}^{-1}}$ . The magnetization of the material is nearly

• 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

Answer: (B)

$2.5\times {{10}^{5}}A{{m}^{-1}}$

Answer 2

Given, ${{\mu }_{r}}=500,i=1$ and $n=500$
Intensity of magnetisation
$I={{\chi }_{m}}H$
$=({{\mu }_{r}}-1)ni$
$=(500-1)\times 500\times 1$
$=499\times 500\times 1$
$=2.495\times 10s$
$=2.5\times {{10}^{5}}A/m$