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Electric and Magnetic force on an electron

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An electron orbiting in an atom in a circular orbit of radius r0, moving with velocity v. The motion produces a magnetic field within the orbit of roughly the value at the center. Answer following questions using nonreletivistic approach.

(a) Use the central value of B to find the magnitude of the force FB that acts on a second electron, also travelling at speed v through the central region perpendicular to B.

(b) What is the ratio of the magnitude of FB to the force FE the repulsion between the two electrons at a separation r0?
(c) What is the ratio FB/FE when v is approaching to c, the velocity of light?

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Solution Summary

The electric and magnetic force and their ratio on an electron at the center of an orbiting electron is derived.

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