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Question

A point P lies on the axis of a flat coil carrying a current. The magnetic moment of the coil is π. The distance of P from the coil is d, which is large compared to the radius of the coil. The magnetic field at P has magnitude

A
μ02π[πd3]
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B
μ04π[πd3]
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C
μ06π[πd2]
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D
μ08π[πd2]
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Solution

The correct option is A μ02π[πd3]
The magnetic field at P due to the flat coil of n turns, radius r, carrying current i is
B=μ02.nir2(d2+r2)μ02.nir2d3(d>>r)=μ02π,n(πr2)d3=μ02π.πd3.


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