- Electron pulse burst speed is set by the Katcher voltage [recall e = mc2] where e=energy, m=electron mass and c=speed of light, but in this case the velocity is v2 set by the Katcher high voltage,...
It is more convenient for the readers to have a ready formula for the electron velocity in vacuum as a function of its kinetic energy, instead of the mere relation between its energy and mass. V Newtonian = (2E k/m e) ½or... V Newtonian = E k½ * 593073.5m/s where: Ek = electron's kinetic energy in Electonvolts [eV] V... = electron's velocity in [m/s] me = electron's rest mass in [kg] c = the speed of light (299792458 m/s) The Newtonian formula above deviates from reality by only 1% for electron energies less than 24kV. If this is unacceptable or the energies considered are higher, then use the more precise relativistic formula listed below: V Rel = c*(1-(1/(1+(E k/(m e*c 2))) 2)) ½P.S. The average drift velocity of electrons in air is 100s times slower than in vacuum ...and it doesn't depend only on acceleration voltage.the square part is bonus...
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