Working Paper Article Version 2 This version is not peer-reviewed

Discrepancy between Power Radiated and the Power Loss Due to Radiation Reaction for an Accelerated Charge

Version 1 : Received: 13 September 2020 / Approved: 13 September 2020 / Online: 13 September 2020 (15:41:40 CEST)
Version 2 : Received: 7 October 2020 / Approved: 7 October 2020 / Online: 7 October 2020 (09:26:01 CEST)

How to cite: Singal, A.K. Discrepancy between Power Radiated and the Power Loss Due to Radiation Reaction for an Accelerated Charge. Preprints 2020, 2020090292 Singal, A.K. Discrepancy between Power Radiated and the Power Loss Due to Radiation Reaction for an Accelerated Charge. Preprints 2020, 2020090292

Abstract

We examine here the discrepancy between the radiated power, calculated from the Poynting flux at infinity, and the power loss due to radiation reaction for an accelerated charge. It is emphasized that one needs to maintain a clear distinction between the electromagnetic power received by distant observers and the mechanical power loss undergone by the charge. In literature both quantities are treated as almost synonymous, the two in general could, however, be quite different. It is shown that in the case of a periodic motion, the two formulations do yield the power loss in a time averaged sense to be the same, even though, the instantaneous rates are quite different. It is demonstrated that the discordance between the two power formulas merely reflects the difference in the power going in self-fields of the charge between the retarded and present times. In particular, in the case of a uniformly accelerated charge, power going into the self-fields at the present time is equal to the power that was going into the self-fields at the retarded time plus the power going in acceleration fields, usually called radiation. From a comparison of the far fields with the instantaneous location of the uniformly accelerated charge, it is shown that all its fields, including the acceleration fields, remain around the charge and are not radiated away from it.

Subject Areas

Classical electromagnetism; Applied classical electromagnetism. Radiation by moving charges; radiation or classical fields

Comments (1)

Comment 1
Received: 7 October 2020
Commenter: Ashok Singal
Commenter's Conflict of Interests: Author
Comment: I have now added some background material in the introduction part as well as in section 3.3 first para, where I have summarized what is new in my approach and why contrary conclusions in the earlier literature had been reached. This should be helpful in understanding to non-experts like, grad or undergrad students. I have also added a figure in Section 2.
Further, I have now added a para (5th para in Section 3.3) with two new references on the applicability of relativistic beaming, as discussed in Section 3.3 here, to extra-galactic radio sources and the synchrotron radiation mechanism. Also in the last para of Section 3.3, I have discussed in detail about the misconception that the radiation emitted from the uniformly accelerated charge goes beyond the horizon.


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