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Two circular coils X and Y, having equal...

Two circular coils X and Y, having equal number of turns and carrying currents in the same sense, subtend same solid angle at point O. If the smaller coil X is midway between O and Y and if we represent the magnetic induction due to bigger coil Y at O as `B_y` and the due to smaller coil X at O as `B_x`,then find the ratio `B_x//B_y`.

Text Solution

Verified by Experts

The correct Answer is:
`(2)`
(2) `B_y=(mu_0)/(4pi) (2piI(2r)^2)/([(2r)^2+(2d)^2]^(3//2)), B_x=(mu_0)/(4pi) (2piIr^2)/([r^2+d^2]^(3//2))`
solve to get `(B_x)/(B_y)=2`
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