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The percentage increase in magnetic fiel...

The percentage increase in magnetic field B when the space within a current carrying toroid is filled with aluminum `(chi=2.1xx10^(-5))` is

A

0.002

B

`2xx10^(-3)%`

C

`2xx10^(-2)%`

D

`2xx10^(-4)%`

Text Solution

Verified by Experts

The correct Answer is:
B
`"Here", chi=2.1xx10^(-5)`
`"From" B=mu_(0)(H+I)=mu_(0)H(1+(I)/(H))=B_(0)(1+chi)`
`B-B_(0)=B_(0)chi`
`(B-B_(0))/(B_(0))=chi Rightarrow (B-B_(0))/(B_(0))xx100`
`=100chi=100xx2.1xx10^(-5)=2.1xx10^(-3)%`
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