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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 absence of `Al, B _(0) = mu _(0) H`
In presecne of `Al, B = mu H`
`B = mu_(0) [ 1 + x] H`
f Percentage increase in B
` (B- B_(0))/( B _(0)) xx 100 = (mu _(0) x H )/(mu _(0) H )xx 100`
` = x xx 100`
` = 2.1 xx 10 ^(-5) xx 100`
` = 2.1 xx 10 ^(-3)`
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