Question 150: 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