Confining Charged Particles with Alternating Electrostatic Fields

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SUMMARY

The discussion centers on the feasibility of confining charged particles, specifically electrons, using alternating electrostatic fields within a cubic structure. Participants highlight that applying a uniform negative charge on all sides of the cube would result in field cancellation inside, similar to a charged hollow sphere. It is established that the force within a cube with uniform surface charge density is the superposition of forces from three sets of charged plates, and the corners of the cube present weak points for confinement. Additionally, the concept of a "magnetic bottle" is introduced as an alternative method for confining charged particles using a compound magnetic field.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Knowledge of charged particle dynamics
  • Familiarity with the concept of superposition in physics
  • Basic principles of magnetic confinement techniques
NEXT STEPS
  • Research the principles of electrostatic confinement of charged particles
  • Explore the design and function of magnetic bottles for particle confinement
  • Study the effects of surface charge density on electric fields in geometrical configurations
  • Investigate advanced techniques for manipulating charged particles using alternating fields
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Physicists, electrical engineers, and researchers in particle physics or plasma confinement who are interested in advanced methods for controlling charged particles.

Drakkith
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Is it possible to use an alternating/rotating electrostatic method to confine charged particles?

For example, if you want to confine electrons inside a cube, could you use a negative charge that is alternated between each side at a time, on a timescale of nanoseconds between each alternation?
 
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Drakkith said:
Is it possible to use an alternating/rotating electrostatic method to confine charged particles?

For example, if you want to confine electrons inside a cube, could you use a negative charge that is alternated between each side at a time, on a timescale of nanoseconds between each alternation?
Why not put negative charge on all sides of the cube?

AM
 
Andrew Mason said:
Why not put negative charge on all sides of the cube?

AM

From what i understand, it would be similar to a charged hollow sphere, and the combined charge all at once would cancel itself out inside the sphere. The closer a particle gets to a wall, the more of the sphere or cube is on the other side of it, which cancels out the field on the other side. At least, that's they way I understood from reading it somewhere.
 
Drakkith said:
From what i understand, it would be similar to a charged hollow sphere, and the combined charge all at once would cancel itself out inside the sphere. The closer a particle gets to a wall, the more of the sphere or cube is on the other side of it, which cancels out the field on the other side. At least, that's they way I understood from reading it somewhere.
That is correct - for a sphere. But a cube is not a sphere. The force inside a cube that has a uniform surface charge density is the superposition of the forces between three sets of uniformly charged plates positioned at right angles to each other. I would think that the force would be 0 only in the middle.

AM
 
Andrew Mason said:
That is correct - for a sphere. But a cube is not a sphere. The force inside a cube that has a uniform surface charge density is the superposition of the forces between three sets of uniformly charged plates positioned at right angles to each other. I would think that the force would be 0 only in the middle.

AM

I think the corners would be the weak point in this. As a particle gets close to the corner, there is more and more of the cube on the other side of it, similar to what happens in a sphere. Does that sound correct?
 
There is a way to confine a charged particle by using a "magnetic bottle". I can't find any good online sources regarding it, but basically a compound magnetic field created by two coils can make charged particles with proper velocities simply spiral repeatedly from one end to the other.
 
Aezi said:
There is a way to confine a charged particle by using a "magnetic bottle". I can't find any good online sources regarding it, but basically a compound magnetic field created by two coils can make charged particles with proper velocities simply spiral repeatedly from one end to the other.

Yep. I'm wondering about an electrostatic field though.
 

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