How is the alternating electric potential produced in cyclotrons?

AI Thread Summary
The discussion focuses on the production of alternating electric potential in cyclotrons, specifically how it is generated using high-frequency radio waves. Cyclotron frequency, determined by the equation f = (q B)/(2 pi m), results in frequencies in the tens of MHz range, necessitating the use of a radio frequency generator similar to those in low-power radio transmitters. In classical cyclotrons, the frequency remains constant, but as particle energy increases, relativistic effects cause a decrease in frequency, leading to the development of synchrocyclotrons that adjust the driving frequency accordingly. The conversation also touches on the maximum particle energies for electrons and protons before needing to account for relativistic effects. Understanding these principles is crucial for optimizing cyclotron design and functionality.
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If the cyclotron frequency is f = (q B)/(2 pi m) this gives a very large frequency for a relatively large magnetic field and for an alpha particle say. If the acceleration of the charged particle across the "dees" is cause by an alternating electric potential (usually in the form of a square wave), how would one go about producing this alternating electric potential?
Title should say alternating electric potential... I cannot type today.
 
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When you put in the numbers you will find that the cyclotron frequency is high frequency radio frequencies.
This is tens of MHz. So a radio frequency generator is used
 
The sort of device that would be used to produce the alternating current would be the same as is used in low power radio transmitters. Afaik, the power is in the order of tens of Watts (?).
 
does the frequency change with time or radius. Or can it posibly stay stationary, ever?
 
constant sorry, not stationary. I am stupid tonight.
 
In the original "classical" cyclotrons, the frequency was constant. When the particle energy gets high enough, relativistic effects become significant. The particles' frequency of revolution decreases and gets out of step with the driving frequency. The next step was the synchrocyclotron which varied the driving frequency to keep in step with the relativistic effects.
 
what would the maximum particle energy be before we woule have to use the relativistic cyclntron frequency for a) electron b) proton? If you don't mind me borrowing your intellect.
 
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