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Newton's third law states that any action is countered by a reaction of equalmagnitude but opposite direction. The total force in a system not affected byexternal forces is thus zero. However, according to the principles ofrelativity, a signal cannot propagate at speeds exceeding the speed of light.Hence the action and reaction cannot be generated at the same time due to therelativity of simultaneity. Thus, the total force cannot be null at a giventime. In a previous paper \cite{MTAY1}, we have shown that Newt\-on'n third lawcannot strictly hold in a distributed system, where the different parts are ata finite distance from each other. This is due to the finite speed of signalpropagation, which cannot exceed the speed of light in the vacuum. A specificexample of two current loops with time dependent currents demonstrated that thesumming of the total force in the system does not add up to zero. This analysisled to the suggestion of a relativistic engine \cite{MTAY3,AY1}. As the systemis affected by a total force for a finite period, the system acquiresmechanical momentum and energy. Now the question then arises how can weaccommodate the law of momentum and energy conservation. The subject ofmomentum conversation was discussed in \cite{MTAY4}, while preliminary resultsregarding energy conservation were discussed in \cite{AY2,RY,RY2}. Previousanalysis relied on the fact that the bodies were macroscopically natural, whichmeans that the number of electrons and ions is equal in every volume element.Here we relax this assumption and study charged bodies, thus analyzing theconsequences on a possible electric relativistic engine.

Newton's Third Law in the Framework of Special Relativity for Charged Bodies