 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 v^{2} 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}) ^{½}or... V _{Newtonian} = E _{k}^{½} * 593073.5m/s where: E_{k} = electron's kinetic energy in Electonvolts [eV] V... = electron's velocity in [m/s] m_{e} = 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})) ^{½}P.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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