Electron beam hitting a metal plate

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Discussion Overview

The discussion revolves around the interaction of an electron beam with a grounded metal plate, focusing on the voltage of the current in the wire to the ground, the potential production of X-rays and gamma rays, and the implications of kinetic energy in these processes. The scope includes theoretical considerations and exploratory reasoning regarding radiation generation and measurement techniques.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant proposes that the voltage of the current can be calculated using the formula V = Ke, where Ke is the kinetic energy of the electrons, but expresses uncertainty about its correctness.
  • Another participant suggests that the voltage should be zero because the plate is grounded, raising questions about the conditions under which X-rays might be produced depending on the energy of the electrons.
  • There is a discussion about whether electrons with insufficient energy can produce X-rays, with some participants asserting they cannot, while others maintain that this does not affect the voltage calculation.
  • A participant questions if high-energy electrons can produce gamma rays, suggesting that there may be a limit to the energy of photons produced, with a preference for the idea that excess energy converts to heat.
  • Another participant provides information about gamma rays, noting that they are typically produced by radioactive decay and distinguishing them from high-energy X-rays produced by electrons interacting with a target.
  • A later reply introduces the concept of a Faraday Cup as a measurement tool for the charge hitting the metal plate, indicating a practical application of the discussed concepts.

Areas of Agreement / Disagreement

Participants express differing views on the voltage of the current in relation to grounding, the conditions for X-ray production, and the distinction between X-rays and gamma rays. The discussion remains unresolved with multiple competing perspectives on these topics.

Contextual Notes

There are limitations in the assumptions made regarding the energy levels required for radiation production and the definitions of X-rays versus gamma rays, which are not fully clarified in the discussion.

abdo799
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So i have this simple situation where i have an electron beam with a certain kinetic energy, and i have a metal plate connected to the ground, and the electrons hit the plate, now i want to know the voltage of the current in the wire to the ground. Now i know both kinetic energy of the electrons and the current so if the energy of a current is V*I*t and the energy we can get from a certain number or electrons is N*Ke where N is the number of electrons is N and Ke is the kinetic energy , this gives us V=Ke but i don't know if that's right, so if it's wrong , what's the right answer ?
 
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abdo799 said:
So i have this simple situation where i have an electron beam with a certain kinetic energy, and i have a metal plate connected to the ground, and the electrons hit the plate, now i want to know the voltage of the current in the wire to the ground.

I would expect it to be zero because it's connected to ground

depending on the energy of the electrons, there's a higher chance of X-rays being produced
 
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davenn said:
I would expect it to be zero because it's connected to ground

depending on the energy of the electrons, there's a higher chance of X-rays being produced
what if the electrons don't have enough energy to produce x-rays
 
They won't produce them. But this doesn't change the answer. I thing davenn mentioned x-rays as a side aspects.
 
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nasu said:
They won't produce them. But this doesn't change the answer. I thing davenn mentioned x-rays as a side aspects.

indeed :)

abdo799 said:
what if the electrons don't have enough energy to produce x-rays

then they just go straight to ground
 
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davenn said:
indeed :)
then they just go straight to ground
i did some research about that and i have 1 last question, can they produce gamma rays if the kinetic energy is really high or it has a limit to the energy of photon produced and the rest becomes heat, i personally think it's the second choice, but i am always wrong , so what do you think?
 
Now I'm not a particle physicist OK ( those in the field may chime in with additional info)

putting aside astronomical sources of Gamma rays ... stars, black holes etc

on earth, Gamma rays are produced in the natural radioactive decay process, along with Alpha and Beta particles
would be the principle source. a secondary source is produced by firing Gamma rays at a atom where you can get an electron-positron annihilation
which results in the release of Gamma rays
( I personally don't want to go deeper than that without getting out of my depth very quickly :wink: )

Dave
 
abdo799 said:
i did some research about that and i have 1 last question, can they produce gamma rays if the kinetic energy is really high or it has a limit to the energy of photon produced and the rest becomes heat, i personally think it's the second choice, but i am always wrong , so what do you think?

Yes, electrons fired into a stationary target are used to produce EM radiation of up to 25 MeV, if not more. Note that since this radiation isn't produced by the decay of an atomic nucleus it would probably be classified as high energy X-rays, not gamma rays. The distinction between the two is that gamma radiation is usually defined to be EM radiation produced by the decay of an atomic nucleus, regardless of the energy of the radiation. A notable exception is in astronomy, where the two are defined according to their energy.

To quote wiki: https://en.wikipedia.org/wiki/Gamma_ray

The distinction between X-rays and gamma rays has changed in recent decades. Originally, the electromagnetic radiation emitted by X-ray tubes almost invariably had a longer wavelength than the radiation (gamma rays) emitted by radioactive nuclei.[6]Older literature distinguished between X- and gamma radiation on the basis of wavelength, with radiation shorter than some arbitrary wavelength, such as 10−11 m, defined as gamma rays.[7] However, with artificial sources now able to duplicate any electromagnetic radiation that originates in the nucleus, as well as far higher energies, the wavelengths characteristic of radioactive gamma ray sources vs. other types, now completely overlap. Thus, gamma rays are now usually distinguished by their origin: X-rays are emitted by definition by electrons outside the nucleus, while gamma rays are emitted by the nucleus.[6][8][9][10] Exceptions to this convention occur in astronomy, where gamma decay is seen in the afterglow of certain supernovas, but other high energy processes known to involve other than radioactive decay are still classed as sources of gamma radiation.
 
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Wow. This thing started out being quite simple, and has turned into a radiation-generating device!

To the OP: you may want to look at an instrument called the Faraday Cup. And yes, you can measure the amount of charge that hit the metal plate, in principle. This instrument is used in many accelerator beamline as an alternative to the ICT (integrated charge transformer) to measure the amount of charge in a bunch. The physics of it is rather easy to follow. Of course, to make a low-noise, high time-resolution device will require a lot of other things, but the principle is the same.

Zz.
 

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