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A circular coil of radius R carries an electric current. The magnetic field due to the coil at a point on the axis of the coil located at a distance r from the centre of the coil, such that r >> R, varies :-

Question

A circular coil of radius R carries an electric current. The magnetic field due to the coil at a point on the axis of the coil located at a distance r from the centre of the coil, such that r >> R, varies :-

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Solution

The magnetic field (B) due to a circular coil carrying an electric current at a point on the axis of the coil is given by Ampere's Circuital Law. The formula is:

B = (μ₀I)/(2r)

where:

  • B is the magnetic field
  • μ₀ is the permeability of free space
  • I is the current
  • r is the distance from the center of the coil

When r >> R (the radius of the coil), the coil can be considered as a point and the magnetic field decreases with the increase in distance. This is because the magnetic field is inversely proportional to the distance from the center of the coil.

So, the magnetic field due to the coil at a point on the axis of the coil located at a distance r from the centre of the coil, such that r >> R, decreases as the distance r increases.

This problem has been solved

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