Question

A student records the following data for the magnitudes (B) of the magnetic field at axial points at different distances x from the centre of a circular coil of radius ‘a’ carrying a current I. Verify (for any two) that these observations are in good agreement with the expected theoretical variation of B with X.

Answer 1

The magnetic field at any point on the axis of a circular current carrying conductor is given by,

B = \(\frac{\mu_0}{4\pi} \frac{2\pi Ia^2}{(a^2 + x^2)^{3/2}}\) 

when x = 0, then