How is the alternating electric potential produced in cyclotrons?

In summary, the conversation discusses the generation of an alternating electric potential and its use in a cyclotron. The cyclotron frequency is found to be high, in the tens of MHz range, and is produced using a radio frequency generator similar to those used in low power radio transmitters. The discussion also touches on relativistic effects and the use of a synchrocyclotron to maintain the frequency of the charged particle. The conversation ends with a question about the maximum particle energy before relativistic effects become significant for electrons and protons.
  • #1
tachyon_man
50
0
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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  • #2
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
 
  • #3
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 (?).
 
  • #4
does the frequency change with time or radius. Or can it posibly stay stationary, ever?
 
  • #5
constant sorry, not stationary. I am stupid tonight.
 
  • #6
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.
 
  • #7
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.
 

Related to How is the alternating electric potential produced in cyclotrons?

1. How does a cyclotron produce alternating electric potential?

The alternating electric potential in a cyclotron is produced through the use of a high-frequency alternating current (AC) voltage source. The AC voltage is applied to the two D-shaped electrodes, known as dees, which are placed in a strong magnetic field.

2. What is the purpose of the magnetic field in a cyclotron?

The magnetic field in a cyclotron is used to keep the charged particles, typically protons or ions, in a circular path as they are accelerated. This allows the particles to gain energy without leaving the device.

3. How do the particles in a cyclotron gain energy?

The particles in a cyclotron gain energy through a process known as "cyclotron resonance." As the particles are accelerated by the electric field between the dees, they are also pushed by the magnetic field, which causes them to spiral outward and gain energy with each revolution.

4. What is the maximum energy that can be achieved in a cyclotron?

The maximum energy that can be achieved in a cyclotron is determined by the strength of the magnetic field and the size of the dees. In modern cyclotrons, energies up to several hundred MeV (million electron volts) can be achieved.

5. How is the alternating electric potential maintained in a cyclotron?

The alternating electric potential in a cyclotron is maintained by the high-frequency AC voltage source. This source ensures that the particles are constantly being accelerated in the same direction, allowing them to reach higher energies with each revolution.

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