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 (integer)
22
Solution
$B = \mu .(H + I)$<br><br>$B = \mu .H\left( {1 + {1 \over H}} \right)$<br><br>$B = {B_0}(1 + x)$<br><br>$B - {B_0} = {B_0}x$<br><br>${{B - {B_0}} \over {{B_0}}} = x$<br><br>${{B - {B_0}} \over {{B_0}}} \times 100 = 100x$<br><br>$= 2.2 \times {10^{ - 3}} = {{22} \over {{{10}^4}}}$
About this question
Subject: Physics · Chapter: Magnetism · Topic: Bar Magnet and Magnetic Field
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