Does a charge radiate only when changing direction?

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Discussion Overview

The discussion revolves around the radiation of charged particles, specifically whether a charge radiates when accelerating in a straight line, and the implications of this for an electron in orbit around a nucleus. Participants explore classical and quantum mechanical perspectives, focusing on energy requirements and radiation rates.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants question whether a charge accelerating in a straight line radiates and what the rate of radiation would be, particularly in the context of classical electromagnetism.
  • One participant notes that in the ground state of hydrogen, the electron is in a stable orbital and classical electromagnetic rules do not apply, suggesting the need for quantum mechanics.
  • Another participant seeks to understand how much extra energy is necessary to compensate for bremsstrahlung when considering an accelerating charge.
  • There is a discussion about the implications of bremsstrahlung and the Larmor formula, with one participant expressing skepticism about the straightforward application of the formula to derive energy requirements.
  • Some participants assert that accelerating and decelerating an electron may not differ in terms of radiation, depending on the frame of reference.
  • One participant emphasizes the distinction between energy and power, noting that the Larmor formula provides a measure of radiated power rather than total energy.

Areas of Agreement / Disagreement

Participants express differing views on the radiation of charges during acceleration, with some asserting that classical and quantum mechanics must be considered separately. The discussion remains unresolved regarding the specifics of energy compensation for bremsstrahlung and the implications of the Larmor formula.

Contextual Notes

Participants highlight limitations in applying classical models to atomic-scale phenomena, indicating that assumptions about energy and radiation may not hold in quantum contexts. There is also uncertainty regarding the calculations of energy required to maintain an electron's orbit in the presence of radiation losses.

alba
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They say that an electron accelerating radiates and loses energy, and that is one of the reasons why an electron cannot orbit a nucleus:

- 1) does a charge accelerating in a straight line radiate, and what is the rate of radiation? do we have to supply extra Ke (apart from m/2 v^2) when we accelerate an electron?

- 2) Ke in the ground state of hydrogen is 13.6 eV, what energy per second should we supply anelectron to keep it in orbit,? I tried to apply the formula at wiki, but I get 1 Tera eV
 
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alba said:
- 2) Ke in the ground state of hydrogen is 13.6 eV, what energy per second should we supply anelectron to keep it in orbit,? I tried to apply the formula at wiki, but I get 1 Tera eV

None. The electron in the ground state is already in a stable orbital and cannot drop down any further. Note that classical E&M rules don't apply at the atomic level. For that you need Quantum Mechanics.
 
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I am referring to the classical model, of course. I'd like to know how much extra energy is necessary to compensate the bremsstrahlung.

My main question, anyway, concerns an accelerating charge in a straight line, does it radiate?
 
alba said:
I am referring to the classical model, of course. I'd like to know how much extra energy is necessary to compensate the bremsstrahlung.

My main question, anyway, concerns an accelerating charge in a straight line, does it radiate?
Why not?
Fast charged particles can be brought to a halt when they enter a solid mass and they release high energy radiation. That would involve 'linear' (negative) acceleration over a very short time (/ distance). I can't think of a mechanism that would produce positive acceleration with as high a value - except in nuclear reactions. But that would instantly take you into the realms of non-classical Physics.
But you seem to be requiring an 'unhealthy' mix of Classical and QM, which usually means tears before bed time. :smile:
 
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sophiecentaur said:
Why not?
But you seem to be requiring an 'unhealthy' mix of Classical and QM, which usually means tears before bed time. :smile:

No, I am simply asking what happens when you accelerate (not decelerate) an electron.
Also, I am asking, if a charge circles a nucleus with 13.6 eV Ke , how much energy is needed to compensate bremsstrahlung. According to Larmor formula it should exhaust its Ke in 10^-11 seconds., but I think it is naive to multiply 13.6 by 10^11. That's how I got 1 Tera eV. Did you get that?
 
alba said:
what happens when you accelerate (not decelerate) an electron.
There is no difference. It's the same thing in different frames.
 
It seems like you are confusing energy and power. Larmor formula gives a radiated power, not an energy.
 

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