Radiation by accelerating charges

[spacetime]

Is there some law to calculate the details of radiation emitted by an accelerating charge?

 

[tems]

I am curious, does this radiation take from the KE of the charged mass, or does the radiation somehow bypass the energy of motion. . . OR. . . does it somehow come from the energy of the charge!?

 

[Graeme Robinson]

Yes, there is a law to calculate the details of radiation emitted by an accelerating charge. It is known as the Larmor formula, which states that the power radiated by an accelerating charge is proportional to the square of its acceleration and the square of its charge, and inversely proportional to the fourth power of the distance from the charge. This formula is derived from Maxwell's equations and is a fundamental principle in the study of electromagnetism. It is used to calculate the intensity, frequency, and direction of the electromagnetic radiation emitted by an accelerating charge. However, it should be noted that this formula is only applicable for non-relativistic speeds and for charges that are small compared to the wavelength of the radiation. For more complex situations, such as relativistic speeds, a more advanced theory, such as quantum electrodynamics, is needed to accurately calculate the details of radiation emitted by an accelerating charge.