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The space within a current carrying t...

The space within a current carrying toroid is filled with aluminium of magnetic suceptibiliuty `2.1 xx10^(-5)` what is the percentage increase in the magnetic induction B ?

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The correct Answer is:
B
In the absence of aluminium the magnetic field inside the troid is `B_(0)=mu_(0)H =mu_(0)(1+x)` H and when it is filled with aluminium
`therefore` increase in the field `triangleB=B-B_(0)=mu_(0)xH`
`therefore` The percentage increase in magnetic field (induction )
`(B-B_(0))/(B_(0))100`
`(nu_(0)xH)/(mu_(0)H)xx100=100 x`
`=100xx2.1 xx10^(-5)`
`=2.1 xx10^(-3)`
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