How charge acceleration is dependent on radiation of electromagnetic wave?

[aditya23456]

Is there any mathematical relation between the value of charge(ie proton/electron) and radiation which is being emitted? I m sure energy is conserved in this process so does that mean electron decelerates in process of radiation ?

 

[mfb]

Radiation which is emitted where?
If you have a particle with a larger charge (but otherwise identical), you can expect that it radiates more photons than another particle.

Energy conservation is a completely different area.

Deceleration is the same as acceleration (in terms of "increases absolute velocity"), just for different observers.

A free electron cannot emit a real photon without violating energy or momentum conservation. However, it can exchange virtual photons or emit real photons if more particles are involved in the process.

 

[aditya23456]

Well I've read that a accelerated charge releases EM wave..By doing so,charge loses its energy right? Which inturn results in decrease of velocity(deceleration as I meant)..So what's the relation which holds with energy released in this process and amount of acceleration..Hope u get my claim..THanking you

 

[mfb]

I think you mean synchrotron radiation. Yes, accelerated electrons can radiate away energy and therefore become slower (more important: less energetic).

 

[aditya23456]

A free electron cannot emit a real photon without violating energy or momentum conservation.

Does this mean violation of conservation of energy..??!

 

[mfb]

No, it means that a free electron does not emit a real photon.
Note that an electron in an electromagnetic field is not free, but can interact with other photons. The process "electron+photon -> electron+photon with different momenta" is possible.

 

[Bob S]

The electron can be accelerated (decelerated) either transversely (synchrotron radiation) or longitudinally. Whenever there is acceleration, there is radiation. The rate of energy loss is
$$\frac{dW}{dt}=-\frac{e^{2} \dot{v}^2}{6\pi\epsilon_o c^3}$$ where $\dot{v}$ is the acceleration.