The electric force from a uniformly moving point charge onto a resting point charge does not correspond exactly to the Coulomb force. This is a consequence of the Liénard–Wiechert potentials which are derived from Maxwell's equations. If the point charge is moving toward or away from a resting point charge, the electric force seems to be weakened compared to the Coulomb force. In contrary, the electric force appears to be strengthened when the point charge is passing the resting charge sideways. Together, both effects compensate each other so that the total charge is independent of the relative speed. This article proposes and discusses an experiment with which this claim can be verified. The experiment is of major importance, because besides the field formula of a point charge derived from Maxwell's equations a recently discovered, clearly easier structured alternative exist in which no longer a magnetic part occurs. Although both formulas differ significantly, it is impossible to design experiments with current loops of any form to decide between both alternatives, because theoretical considerations lead always to the same experimental predictions. The electrical part of both field formulas differs only by a Lorentz factor. This has the consequence that the total charge is in the alternative formula no longer independent from the relative speed between source and destination charge. Thus, the electric charge depends here on the reference frame and we get rest and relativistic charge. The experiment proposed in this article makes it possible to measure this effect so that a decision between both alternatives becomes possible.
Comments: 7 Pages. fix scaling error in figure 3
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