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Q.

Two circular coils A and B with their centers lying on the same axis have same number of turns and carry equal currents in the same sense. They are separated by a distance, have different diameters but subtend same angle at a point P lying on their common axis. the coil B lies exactly midway between coil A and the point P. the magnetic field at point P due to coils A and B is B1 and B2 , respectively. then

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a

B1>B2

b

B1B2=12

c

B1<B2

d

B1/B2=2

answer is B, D.

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Detailed Solution

B=μ0NIr22(r2+x2)3/2 along x-axis

B=μ0NI2rr3(r2+x2)3/2

B=μ0NI2rsin3θ

According to which, the coil with lesser radius will make more contribution.

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Two circular coils A and B with their centers lying on the same axis have same number of turns and carry equal currents in the same sense. They are separated by a distance, have different diameters but subtend same angle at a point P lying on their common axis. the coil B lies exactly midway between coil A and the point P. the magnetic field at point P due to coils A and B is B1 and B2 , respectively. then