Why Does an Accelerated Electric Charge Produce Energy?

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Discussion Overview

The discussion centers around the question of why an accelerated electric charge produces energy, specifically focusing on the phenomenon of radiation emitted by such charges. The scope includes theoretical aspects of electromagnetic radiation as described in advanced texts.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the reason an accelerated electric charge produces energy, prompting a clarification on whether the focus is on the radiation emitted by the charge.
  • Another participant notes that understanding this requires a detailed derivation of the electric and magnetic fields associated with radiation, referencing intermediate or higher-level electromagnetic theory texts.
  • A key point mentioned is that the electric and magnetic fields from radiation fall off with a dependence of 1/r rather than 1/r^2, which is attributed to the concept of retarded time.
  • It is suggested that when the velocity of the charge is constant, the use of retarded time does not lead to the 1/r dependence.

Areas of Agreement / Disagreement

Participants appear to agree on the need for a detailed derivation to understand the phenomenon, but the discussion does not resolve the underlying complexities or implications of the radiation process.

Contextual Notes

The discussion does not address specific assumptions or limitations in the derivation of the radiation fields, nor does it clarify the implications of the retarded time concept in detail.

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why does an accelerated electric charge produce energy?
 
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Do you mean why does an accelerated charge radiate?
 
yes, you're right~
 
This can only be seen in a detailed derivation of the radiation E and B fields.
See almost any intermediate or higher EM text.
The key point is that, for raditation, E and B fall off like 1/r instead of 1/r^2.
This follows from the use of the retarded time.
It turns out that if the velocity is constant, the retarded time does not result in the 1/r dependence.
 
thanks! :)
 

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