Confining Charged Particles with Alternating Electrostatic Fields

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Discussion Overview

The discussion revolves around the feasibility of using alternating or rotating electrostatic fields to confine charged particles, specifically electrons, within a cubic structure. Participants explore theoretical implications and comparisons with other confinement methods, such as magnetic fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose using alternating negative charges on the sides of a cube to confine electrons, questioning the effectiveness of this method.
  • Others argue that applying negative charge to all sides of the cube would lead to cancellation of the electric field inside, similar to a charged hollow sphere.
  • A participant suggests that the force inside a uniformly charged cube would be the result of superposition from three sets of charged plates, indicating that the force would only be zero at the center.
  • Concerns are raised about the corners of the cube being weak points for confinement, as particles approaching the corners may experience field cancellation similar to that in a sphere.
  • Another participant introduces the concept of a "magnetic bottle" as an alternative method for confining charged particles, noting its reliance on a compound magnetic field created by coils.
  • There is a clear distinction made between the magnetic confinement method and the proposed electrostatic approach, with a focus on the latter's potential challenges.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of using alternating electrostatic fields for confinement, with no consensus reached on the viability of the proposed methods. The discussion remains unresolved regarding the optimal approach to confining charged particles.

Contextual Notes

Participants reference theoretical concepts and analogies, but there are limitations in the assumptions made about the behavior of electric fields in different geometries, as well as the specific conditions under which the proposed methods would operate effectively.

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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