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QJEEM21Phafae: JEE Main 2021 Physics - Class 12 JEEM21Phafae Solution: The value of aluminium susceptibility is 2.2 10 5 . The…

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 x104{x \over {{{10}^4}}} . Then the value of x is _________________.

Step-by-Step Verified Solution

B=μ.(H+I)B = \mu .(H + I)

B=μ.H(1+1H)B = \mu .H\left( {1 + {1 \over H}} \right)

B=B0(1+x)B = {B_0}(1 + x)

B−B0=B0xB - {B_0} = {B_0}x

B−B0B0=x{{B - {B_0}} \over {{B_0}}} = x

B−B0B0×100=100x{{B - {B_0}} \over {{B_0}}} \times 100 = 100x

=2.2×10−3=22104= 2.2 \times {10^{ - 3}} = {{22} \over {{{10}^4}}}

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