Electron Speed: Measured & Calculated?

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    Electron Speed
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Discussion Overview

The discussion revolves around the speeds of electrons, exploring both measured and calculated values in various contexts, including electrical circuits and experimental setups. Participants examine the range of electron speeds, including typical velocities and specific examples from experiments.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that electrons can move from 0 to just under the speed of light (c), highlighting the distinction between Fermi speed and drift velocity in electrical circuits.
  • Another participant mentions typical instantaneous speeds due to thermal motion (~10^6 m/s) and average speeds corresponding to electrical current (~10^-4 m/s).
  • Experimental electron beam energies have been reported from fractions of an electron volt to ~50 GeV, with Lorentz gammas reaching up to ~100,000.
  • A participant questions the characterization of Fermi speed as being due to thermal motion, suggesting that it is defined at absolute zero and changes only slightly at room temperature.
  • In a specific application, the speed of electrons in a cathode ray tube (CRT) is cited as approximately 5.8 x 10^7 meters per second.
  • A humorous remark is made about the speed of light in relation to zitterbewegung.

Areas of Agreement / Disagreement

Participants express various viewpoints on the definitions and contexts of electron speeds, with some agreeing on the general ranges while others contest specific characterizations, particularly regarding Fermi speed and its relation to thermal motion. The discussion remains unresolved on certain technical points.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about electron speeds, the definitions of terms like Fermi speed, and the specific conditions under which these speeds apply. Some mathematical steps and definitions remain unresolved.

acherentia
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My general science courses give various speeds for electrons to illustrate various examples. My preconception was that electrons always move very fast, but some of the examples from textbooks assume speeds that are a lot less than what I expected from an electron . Has the full range of possible speeds an electron can take been calculated or measured or both?
 
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An electron, like any massive particle, can go from 0 to just under c. In "everyday" situations like electrical circuits there are two important velocities, the Fermi speed which is the typical instantaneous speed due to thermal motion (~10^6 m/s) and the drift velocity which is the average speed corresponding to an electrical current (~10^-4 m/s).

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmmic.html#c2
 
That's an awesome answer, thanks!
 
You are very welcome!
 
Experimental electron beam energies have ranged from fractions of an electron volt to ~50 GeV (at SLAC and the CERN 26-km-circumference LEP), Lorentz gammas up to ~100,000. One of the most beautiful electron-beam demonstrations I can remember is the undergraduate e/m Lorentz-force experiment, such as the 300-volt electron beam in a Helmholtz coil shown in this attachment.

https://www.physicsforums.com/attachment.php?attachmentid=22954&d=1263085690

Every undergraduate physics lab must do this experiment,

Bob S
 
DaleSpam said:
An electron, like any massive particle, can go from 0 to just under c. In "everyday" situations like electrical circuits there are two important velocities, the Fermi speed which is the typical instantaneous speed due to thermal motion (~10^6 m/s) and the drift velocity which is the average speed corresponding to an electrical current (~10^-4 m/s).

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmmic.html#c2
From the site you referred to:
Because electrons are fermions and obey the Pauli exclusion principle, then at 0 K temperature the electrons fill all available energy levels up to the Fermi level.
Perhaps its nitpicking but why do you think Fermi speed due to thermal motion? As far as I understand Fermi speed is there at 0K and alters only slightly at room temperature.
 
DaleSpam said:
An electron, like any massive particle, can go from 0 to just under c. In "everyday" situations like electrical circuits there are two important velocities, the Fermi speed which is the typical instantaneous speed due to thermal motion (~10^6 m/s) and the drift velocity which is the average speed corresponding to an electrical current (~10^-4 m/s).
The electron velocity in a standard CRT (cathode ray tube) TV set with a 10,000 volt electron gun is about 5.8 x 107 meters per second.

Bob S
 
The speed of light, because of zitterbewegung. :P
 

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