Two electrons are moving with equal speed of 5 × 10 5 m s - 1 parallel to each other. The ratio of the electrostatic to the magnetic force between them is

Step-by-step solution

Given, speed of electrons, v = 5 × 10 5   m   s - 1 Electrostatic force between the electrons, F e = k · e 2 r 2       . . . i Magnetic field produced due to moving electron with velocity v , B = μ 0 4 π · e v r 2       . . . ii Magnetic force between the electrons, F m = B e v = μ 0 4 π · e v r 2 · e v (from Eq. (ii)) F m = μ 0 4 π · e 2 v 2 r 2 ∴ From Eqs. (i) and (iii), we have F e F m = k e 2 / r 2 μ 0