Actually advice on how to do the math was my original question. Can u give me some hints on how to calculate this thing?? so I can begin the fun part. Can't figure it out. Thanks for the replies ..they were helpful.
electrons will repel each other so the cloud will grow fast. Now the external E-field generated from the plates (considering the parallel plate e.g) should act on them causing them to slowdown or push them away from the plates, keeping them in the middle section where E-field strength will be...
The theorem is fine ...I don't have anything against it.
I also understand charged particles will loose their energy as Bremsstrahlung even if they change their directions. But this problem is probably applicable to other ion traps and plasma confinement methods as well.
So like other...
Yes that theorem does shed some light ...why simple electrostatic setup is not used.
But the theorem states "stable stationary equilibrium configuration ". In our case they can move as much these charged particles want to but should stay inside the setup for significant amount of time.
Bunch of...
Yes actually u r right...hollow sphere was a bad example..consider two parallel plates with same negative charges (ignore the boundaries) trying to trap electrons between them. The field strength should be 0 at the middle plane as both the plates will cancel each other out. So the middle section...
Alternatively u can imagine the sphere is negatively charged. Same charges suppose to repel each other therefore keeping the electrons in the centre of the sphere. Sphere structure pushing the electrons toward the centre of the sphere. Hope that will clear things up.
I'm curious about electron trapping by electrostatic force.
A simple scenario can be ...
A perforated, conductive, hollow sphere in a vacuum, connected to a negative high voltage source. I want to calculate how much electrons it can hold (total charge of it). The relation between sphere voltage...