cyclotrons are machines designed and developed for the purpose of accelerating ionized particles in a vacuum moving in a circular path. Typically, the mechanism of moving particles in a circular orbit is attained by positioning a strong magnetic field in the trajectory of the electrons. In addition to that, the path of the ionized particles is attained by the use of resonant accelerators. On the other hand, it is important to consider the fact that the energy of the moving particle can be enhanced to higher levels. In addition to that, there is a strong relationship between the gap voltages that enables ionized particles to move in a circular orbit and the speed and trajectory of the ions. The advent of the cyclotrons was based on the uniform field cyclotron with a vertical magnetic field defined by the positive field index.
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