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If in circular coil of radius R, current...

If in circular coil of radius `R`, current `I` is flowing and in another coil `B` of radius `2R` a current `2I` is flowing , then the raatio of the magnetic fields `B_(A) and B_(B)`, produced by them will be

A

`1`

B

`2`

C

`(1)/(2)`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
A
KEY CONCEPT : we know that the magnetic field produced by a current carrying circular coil of radius `r` at its centre is `B = (mu_(0))/(4pi) (I)/( r) xx2 pi`
Here `B_(A) = (mu_(0))/(4pi) (I)/( r) xx2 pi and B_(B) = (mu_(0))/(4pi) (2I)/( 2r) xx2 pi`
rArr `(B_(A))/(B_(B)) = 1`
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