Larmor’s power of a charged particle under the effect of an electric field generated by two homogeneously charged dielectric disks

In this article, we investigate the dynamics of a charged particle when subjected to an electric field generated by two dielectric and homogeneous disks. We analyzed the construction of the motion equation for the accelerated charge, which in the linear approximation of the electric force results in a Simple Harmonic Oscillator (SHO). Subsequently, the Abraham-Lorentz radiation force is incorporated into the motion equation because the accelerated movement of the load results in the emission of energy radiation and, in this situation, behaves like a Damped Harmonic Oscillator (DHO). And we calculated Larmor’s radiation power for this damped particle motion.

Keywords
Simple Harmonic Oscillator; Damped Harmonic Oscillator; Abraham-Lorentz force; Calculation of radiation