Two circular coils X and Y have the equal number of turns and carry equal currents in the same sense and subtend same solid angle at the point O . If the smaller coil X is midway between O and Y , then if we represent the magnetic induction due to bigger coil Y at O as B Y and that due to smaller coil X at O as B x , then :

Question

Two circular coils X and Y have the equal number of turns and carry equal currents in the same sense and subtend same solid angle at the point O . If the smaller coil X is midway between O and Y , then if we represent the magnetic induction due to bigger coil Y at O as B Y and that due to smaller coil X at O as B x , then :, B Y B X = 1, B Y B X = 2, B Y B X = 1 2, B Y B X = 1 4

MARKS App · Accepted Answer

[ For same angle α ] B = μ 0 4 π 2 M ( R 2 + d 2 ) 3 2 ∝ R 2 ( R 2 + d 2 ) 3 2 B y B x = R y 2 [ R y 2 + ( 2 d ) 2 ] 3 2 R x 2 [ R x 2 + d 2 ] 3 2 R y = 2 R x ⇒ B y B x = 1 2

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