Bertozzi showed with doing some experiments in a cyclotron that by accelerating the electrons, their speed will be limited near the light speed, but their kinetic energy will increase without limitation? So where is the source of kinetic energy increament?
Hello Farhad,
the velocity is limited by the vacuum velocity of light, but the relativistiv mass m* increases. The kinetic energy m*c² is delivered by the electric field. Cyclotrons are hardly suitable to reach high energies due to the varying circular frequency. Here, synchrotrons are the better solution.
With Regard
R. Mitdank
The required energy comes from the external energy source, the source that creates the alternating potential / electric field that accelerates charged particles (here electrons) in a linear particle accelerator [1].
[1] https://en.wikipedia.org/wiki/Linear_particle_accelerator
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