Radiation emitted by an accelerated charge

• menachem
In summary: Yes, the second formula given in the link is valid for any accelerated charge. The energy loss occurs when the accelerated charge emits radiation. The radiation is in the form of particles called Bremsstrahlung.
menachem
I would need to know what is the state of the art about the study of the radiation emitted by an accelerated charge. According to classical EM theory, does a uniformly accelerated charge emit radiation? Or is the radiation proportional to the 3rd time derivative of position (so that a non-uniformly accelerated charge radiates..). When a charged body radiates (= loses energy) how can one observe the energy loss of the body? Is it still an open point in today's physics or has it been sorted out?
Thanks
Menachem

menachem said:
I would need to know what is the state of the art about the study of the radiation emitted by an accelerated charge. According to classical EM theory, does a uniformly accelerated charge emit radiation? Or is the radiation proportional to the 3rd time derivative of position (so that a non-uniformly accelerated charge radiates..). When a charged body radiates (= loses energy) how can one observe the energy loss of the body? Is it still an open point in today's physics or has it been sorted out?
Thanks
Menachem

No I don't think so - Bremstrahhlung radiation (is that what you are referring to?) is given off when electrons deflect off charged particles - if there is deflection, the acceleration isn't uniform.

One can measure the energy loss by using a scintillation counter (I think that's what you call it).

Uniformly accelerating charges do emit radiation*. The acceleration can be either parallel to, or perpendicular to, the direction of motion of the charge. Are you interested in accelerating charges (currents) in wires, like an antenna, or accelerating charges in a vacuum like in an x-ray tube?
Bob S

*See Panofsky and Phillips, "Classical Electricity and Magnetism", Addison Wesley, page 302, Eq 19.22

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I don't know about x-ray tubes, but in antennas charges are not uniformly accelerating (they are subjected to a sinusoidal electric field).
Excuse my naivetè but i'll try to make an example: if I have an electrically charged iron ball (so a macrscopic charged body, which should act according to classical EM theory) and I drop it from the top of a tower, does it radiate?
(as soon as possible I'll try to have a look at the reference you Bob point me at)
Thanks
Menachem

menachem said:
I don't know about x-ray tubes, but in antennas charges are not uniformly accelerating (they are subjected to a sinusoidal electric field).
Excuse my naivetè but i'll try to make an example: if I have an electrically charged iron ball (so a macrscopic charged body, which should act according to classical EM theory) and I drop it from the top of a tower, does it radiate?
(as soon as possible I'll try to have a look at the reference you Bob point me at)
Thanks
Menachem

Yes it would, although the amount of energy would be miniscule. This link might be useful:

http://hyperphysics.phy-astr.gsu.edu/HBASE/Particles/synchrotron.html

menachem said:
if I have an electrically charged iron ball (so a macrscopic charged body, which should act according to classical EM theory) and I drop it from the top of a tower, does it radiate?
Yes. According to Panofsky and Phillips "Classical Electricity and Magnetism" Eq 19.22, the radiated power for a uniformly accelerating charge parallel to its velocity is proportional to

-dW/dt = ~[du/dt]2 where u is velocity
vertices said:
Yes it would, although the amount of energy would be miniscule. This link might be useful:

http://hyperphysics.phy-astr.gsu.edu/HBASE/Particles/synchrotron.html

Bob S

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ok thank u guys.. things are getting clearer in my mind.
The link provided by vertices is actually about a uniformly accelerating charge (what I was looking for), and the formula provided there agrees with the proportion given by Bob: -dW/dt = ~[du/dt]2 (the minus sign is negligible here, being due to a convention). The first formula given in this link is presented as valid for any accelerated charge. I would like to know if this is a "unifying formula" that works for (uniformly and not uniformly) accelerated charges, and not only and not only acceleration perpendicular to velocity. And secondly again I'd like to know what kind of energy loss happens in an accelerating charged macroscopic body that radiates? Is it energy loss of electrons going from a higher-energy to a lower-energy level?
Thanks
Menachem

there is no change of electron state! but electron losses may be due to poor vacuum, losses due to electrons hitting the wall, and so on..usually in synchrotron additional external electric field (in the for of radio freq.) is supplied for keep the electrons running permanently..

1. What is radiation emitted by an accelerated charge?

Radiation emitted by an accelerated charge refers to the electromagnetic waves that are produced when a charged particle is accelerated. These waves carry energy and can travel through space at the speed of light.

2. How is radiation emitted by an accelerated charge different from other types of radiation?

Radiation emitted by an accelerated charge, also known as electromagnetic radiation, is different from other types of radiation such as nuclear radiation or thermal radiation. It is produced by the acceleration of charged particles, while nuclear radiation is emitted by unstable atomic nuclei and thermal radiation is emitted by the movement of particles at high temperatures.

3. How does an accelerated charge produce radiation?

When an electrically charged particle, such as an electron, is accelerated, it creates a changing electric field. This changing electric field then creates a changing magnetic field, and the combined electromagnetic field propagates outwards as radiation.

4. What are the potential hazards of radiation emitted by an accelerated charge?

The hazards of radiation emitted by an accelerated charge depend on the intensity and frequency of the radiation. At high levels, it can cause damage to living cells and tissues. However, at lower levels, it is not harmful and is actually used in many beneficial technologies such as radio and television broadcasting, medical imaging, and telecommunications.

5. How is radiation emitted by an accelerated charge used in everyday life?

Radiation emitted by an accelerated charge is used in many everyday technologies, including cell phones, laptops, and microwave ovens. It is also used in medical imaging techniques such as X-rays and MRI scans. Additionally, it is used in radio and television broadcasting, GPS systems, and satellite communications.

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