An electron moves in a circular orbit with uniform speed ' v^ . It produces a magnetic field 'B' at the centre of the circle. The radius of the circle is [ ₀= . permeability of free space, e = electronic charge ]

Step-by-step solution

The magnetic field at the center of a circular orbit of a moving electron is given by array l B= ₀ 4 e r³ (v r) B= ₀ 4 e v r² array As, in a circular path, the angle between radius vector and velocity vector is 90^ . array l B = ₀ 4 ev r ² r = ( ₀ ev 4 B )^ 1 / 2 array