A point P lies on the axis of a flat coil carrying a current. The magnetic moment of the coil is μ . What will be the magnetic field at point P ? It is given that the distance of P from the centre of coil is d , which is large compared to the radius of the coil.

Question

A point P lies on the axis of a flat coil carrying a current. The magnetic moment of the coil is μ . What will be the magnetic field at point P ? It is given that the distance of P from the centre of coil is d , which is large compared to the radius of the coil., μ 0 2 π μ d 3, μ 0 4 π μ d 3, μ 0 6 π μ d 2, μ 0 8 π μ d 2

MARKS App · Accepted Answer

The magnetic field at P due to the flat coil of n turns, radius r , carrying current i is B = μ 0 2 · nir 2 d 2 + r 2 3 / 2 ≅ μ 0 2 · nir 2 d 3 ( d > > r ) = μ 0 2 π · n πr 2 i d 3 = μ 0 2 π · μ d 3

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