Each of the above variables is related to the other variables in the equation and represents different factors. Thus, r symbolizes the radius of the stream of ions under projection. On the other hand B and EkinÂ represent the strength of the magnetic field. To successfully operate the system, a compensatory scheme is used where the increase in the velocity of the particles in relation to the path of the stream of ions is integrated into the system. In addition to that, the ions under acceleration have to acquire a positive charge at the time they cross through the path to enable the particles accelerate further. Typically, all the operations therefore rely on the principal of phase stability (Vorobiev &York, 4).The above status can be calculated based on the using the following mathematical relation.
The particle velocity is represented in the relation byÂ v.Â The particle streams move on a radius defined as r in the equation. It is important to note that an increase in the relativistic mass is directly related to an increase in the energy of the streaming ion
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