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Find the percent increase in the magneti...

Find the percent increase in the magnetic field `B` when the space within a current- carrying toroid is filled with aluminium. The susceptibility of aluminium is `2.1 xx 10^(-5)`.

Text Solution

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In the absence of aluminium,
`B_0=mu_0H`.
In the presence of aluminium,
`B=muH=mu_0(1+chi_m)H`
Increase in magnetic field induction
`=B-B_0=mu_0 chi_mH`
Percentage increase `=(B-B_0)/(B_0)xx100`
`=(mu_0chi_mH)/(mu_0H)xx100`
`=2*1xx10^-5xx100=2*1xx10^-3`
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