From the expression for the electromagnetic field in the neighborhood of a point charge, we determine the rate of electromagnetic momentum flow, calculated using the Maxwell stress tensor, across a surface surrounding the charge. From that we derive for a “point” charge the radiation reaction formula, which turns out to be proportional to the first time-derivative of the acceleration of the charge, identical to the expression for the self-force, hitherto obtained in the literature from the detailed mutual interaction between constituents of a small charged sphere. We then use relativistic transformations to arrive at a generalized formula for radiation reaction for a point charge undergoing relativistic motion.
Skip Nav Destination
PAPERS| March 01 2017
Radiation reaction from electromagnetic fields in the neighborhood of a point charge
Ashok K. Singal; Radiation reaction from electromagnetic fields in the neighborhood of a point charge. Am. J. Phys. 1 March 2017; 85 (3): 202–206. https://doi.org/10.1119/1.4972246
Download citation file: