Question 149: Magnetism and Matter

Question

The value of aluminium susceptibility is 2.2 $	imes$ 10
$-$5
. The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is ${x \over {{{10}^4}}}$. Then the value of x is _________________.

Accepted Answer

$B = \mu .(H + I)$
$B = \mu .H\left( {1 + {1 \over H}} ight)$
$B = {B_0}(1 + x)$
$B - {B_0} = {B_0}x$
${{B - {B_0}} \over {{B_0}}} = x$
${{B - {B_0}} \over {{B_0}}} 	imes 100 = 100x$
$ = 2.2 	imes {10^{ - 3}} = {{22} \over {{{10}^4}}}$

Magnetism and Matter

The value of aluminium susceptibility is 2.2 \times 10 -5 . The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is {x \over {{{10}^4}}}. Then the value of x is _________________.

Integer / Numeric Answer Type