What angle should an elctron beam leave an electron gun?

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SUMMARY

The optimal angle for a 1kV electron beam with a total current of 1mA to leave an electron gun, ensuring the minimum diameter cross-section occurs on a screen 25cm away, requires precise calculations. The original beam diameter is 2mm. Key factors influencing the beam's trajectory include potential magnetic fields and focusing mechanisms, which may involve lenses. The discussion highlights a lack of accessible equations in standard textbooks, indicating a need for specialized resources.

PREREQUISITES
  • Understanding of electron beam physics
  • Familiarity with beam focusing techniques, particularly using lenses
  • Knowledge of electromagnetic fields and their effects on charged particles
  • Basic principles of kinematics and trajectory calculations
NEXT STEPS
  • Research the equations governing electron beam trajectories in vacuum systems
  • Study the role of magnetic fields in electron beam focusing
  • Learn about the design and function of electron guns
  • Explore advanced optics related to electron beams and lens systems
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Physicists, electrical engineers, and students specializing in electron optics or accelerator physics will benefit from this discussion.

drmerby3737
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1. At what angle should a 1kV electron beam with a total current of 1mA leave an electron gun in order that the cross section of minimum diameter will occur on a screen 25cm away? The original diameter of this beam is 2mm.



2. Cannot find equations in book or notes anywhere.



3. No attempt, just looking for some help maybe in the form of equations please.
 
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drmerby3737 said:
1. At what angle should a 1kV electron beam with a total current of 1mA leave an electron gun in order that the cross section of minimum diameter will occur on a screen 25cm away? The original diameter of this beam is 2mm.



2. Cannot find equations in book or notes anywhere.



3. No attempt, just looking for some help maybe in the form of equations please.


Are there any more details or a diagram available? Why would the e-beam leave the gun at an angle? Are there some magnetic fields or other fields involved? What is doing the focusing?
 
This is all the information that is stated in the question. I asked 5 classmates and no one knows where to begin. In the notes they talk about lenses but it does not specify that is what is doing the focusing.
 

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