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Two circular coils X and Y having equal number of turns and carrying equal currents in same sense are placed co-axially, such that they subtend the same solid angle at O. Distance of the plane of the larger coil from O is twice the distance of the smaller coil from O . Let B be the magnetic field at O due to smaller coil X, then

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Magnetic field at O due to larger coil = 2B

Magnetic field at O due to larger coil = B/2

Total magnetic field at O is 3B/2

Total magnetic field at O is $\frac{\sqrt{5} B}{2}$

answer is B, C.

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