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A small coil of radius r is placed at th...

A small coil of radius `r` is placed at the centre of a large coil of radius `R`, where `R gtgt r`. The two coils are coplanar. The mutual inductance between the coils is proportional to

A

`(mu_(0)pir)/(2R)`

B

`(mu_(0)pir^(2))/(2R)`

C

`(mu_(0)pir^(2))/(2R^(2))`

D

`(mu_(0)pir)/(2R^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B

`phi_(2)=B.pir^(2)`
`phi_(2)=mu_(0)/(4pi)(2piI)/R. pir^(2)=(mu_(0)I)/(2R). Pir^(2)`
`m=phi_(2)/I=(mu_(0)pir^(2))/(2R)`
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