JEE MAIN - Physics (2021 - 25th July Morning Shift - No. 22)
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 _________________.
Answer
22
Explanation
$$B = \mu .(H + I)$$
$$B = \mu .H\left( {1 + {1 \over H}} \right)$$
$$B = {B_0}(1 + x)$$
$$B - {B_0} = {B_0}x$$
$${{B - {B_0}} \over {{B_0}}} = x$$
$${{B - {B_0}} \over {{B_0}}} \times 100 = 100x$$
$$ = 2.2 \times {10^{ - 3}} = {{22} \over {{{10}^4}}}$$
$$B = \mu .H\left( {1 + {1 \over H}} \right)$$
$$B = {B_0}(1 + x)$$
$$B - {B_0} = {B_0}x$$
$${{B - {B_0}} \over {{B_0}}} = x$$
$${{B - {B_0}} \over {{B_0}}} \times 100 = 100x$$
$$ = 2.2 \times {10^{ - 3}} = {{22} \over {{{10}^4}}}$$
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