Abstract
We considered the equation of motion of an accelerating point charged particle which produced the radiation reaction force that described by the Abraham-Lorentz equation. Then we considered another equation of motion from a different approach so-called Landau-Lifshitz equation which came from a limit in the case of a finite spherical shell charged particle. This latter equation shows that an acceleration of charged particle depends on an external force and its derivative. We showed the solution of the acceleration from the external rectangular force of these equations. So we solved the velocity and position of the charged particle. As a result, we compared the solutions from the Abraham-Lorentz and Landau-Lifshitz equations of motion.
Published Version
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