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The magnetic field (B) inside a long sol...

The magnetic field (B) inside a long solenoid having n turns per unit length and carrying current / when iron core is kept in it is `(mu_o` = permeability of vacuum, `chi` = magnetic susceptibility)

A

`mu_0 nl(1-x) `

B

`mu_(0) nlchi `

C

`mu_(0)nl^(2)(1+ chi)`

D

`mu_(0)nl(1+x)`

Text Solution

Verified by Experts

The correct Answer is:
D
According to question , change in magnetic field due to insertion of iron core is given by
`B'=mu B `
`=mu_(0)(1+ chi)B " " [:' mu + mu_(0)(1+ chi)]`
where , B= magnetic field in air
`mu_(0)`=permeability of vacuum
`chi`=magnetic susceptibility
As we know magnetic field inside the solenoid is given by `B=mu_(0)nl `
So , `B'=mu_(0)(1+ chi)nl `
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