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The space inside a toroid is filled with...

The space inside a toroid is filled with tungsten whose susceptibility is `6.8xx10^(-5)` . The percentage increase in the magnetic field will be

A

`0.0068%`

B

`0.068%`

C

`0.68%`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
When space inside the toroid is filled with air ,`B_(0)=mu_(0)H`. When filled wiith tungsten , we get `B=muH=mu_(0)mu_(r)H=mu_(0)(1+ chi_(m))H`
Percentage increase in magnetic field
` =((B-B_(0)) xx 100)/( B_(0))=(mu_(0) chi_(m)H xx 100)/( mu_(0)H)=chi_(m) xx 100 `
`=6.8xx10^(-5) xx 100=0.0068%`
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