WizWom wrote: Now, magnetic field works because the electrons are attracted to the surface outside the coil.
Is this intended to be a general statement about magnetic field or a specific statement about how the MaGrid behaves?
WizWom wrote:The electric field will turn them toward the charged surface. The magnetic field will accelerate them perpendicular to it. So, if you had a charged rod with a high current inside it, at a balance of charge and current you could get any charged particle to "orbit" like a planet orbits the sun, by having enough transverse momentum to keep missing the sun as it falls toward it.
If you are talking about a solid rod, charged, with a current running axially along the length of the rod, this would seem incorrect. In such a case, the B field would run around the rod and the electron (if it could be balanced) would move in, along the length, and away again. It would cork-screw (gyrate) around the field lines as it moved around the rod if it had any transverse momentum. And the direction it would move around the rod would depend on its initial momentun, not the "direction" (N to S) of the lines.
If the rod were actually a long solenoid, and the B field ran along the length of the rod, it should be possible to have the electron orbit the rod. In which case, any motion along the length of the rod would be simply a matter of initial momenton, not the direction toward "north".
WizWom wrote:The magrid supplies the transverse momentum. The direction it will orbit will depend on its charge, because of the charge being positive or negative in the formula F2 above.
From the description so far, I am still not sure what is orbiting what. It seems you are saying that the electrons are somehow orbiting the case of the toruses. If so, you need to rethink your field.
WizWom wrote:What this means is that electrons orbit from North pole to South pole.
Not so. The electrons gyrate around the field lines and drift north or south depending on the residual velocity they had along the line when they got trapped.
WizWom wrote: Now, if you design so that the north poles all point in,
As Randy's analysis shows, if you have some north in, you must also have some south in. It matters not whether they are both real magnets or some are real and some virtual.
WizWom wrote: they get a sort of sargasso sea, a little extra velocity, a little chaos, and the go into the low magnetic field area in the center - plaus, since all your magrids have the same charge, they cancel out in there, too. So the electrons get lower and lower forces on them as they approach the center.
"They"... the electrons?
WizWom wrote:
If you have alternating north and south coils, then that cancellation does not happen,
As Randy's analysis showed, the field still cancels in the middle, even when he uses alternating polarities.
WizWom wrote:and you have the electrons in the center being accelerated by the magnetic fields in the center, which is not what you want.
Doesn't happen.
WizWom wrote: Now, as the charge builds up in the center, you get a coulomb repulsion to the charge, and if the electrons are going fairly slow, they won't generate much magnetic field.
Note something else. Positively charges ions will be turned the opposite way, and orbit south to north.
Again, the charges don't orbit north OR south. The gyrate around the field lines and drift north or south depending on their initial velocity.
WizWom wrote:These particles will be forced by the positively charged grid toward the center of the charged coils.
?? What happened to Gauss?
WizWom wrote:They will then rapidly exit along the most extenuated magnetic line, from the center of the coils, if they are all North facing in. In such a system, the "cusps" spew electrons, the ions go out the face centers.
Nonsense. This just ain't so. To the degree the ion energy has upscattered and overcomes the potential well created by the electrons, they will exit whatever cusp they are pointed at, north or south. Same with the electrons. If they hit a cusp directly enough, they exit, north cusp or south cusp.