Homopolar Generator Revisit.

[lumen]

I still don't understand the concept of a uniform magnetic field. It certainly makes the operation of a homopolar generator easier to understand, along with a rotating field, but is that the case? If a perfectly created magnet was used, that appeared to have a balanced magnetic field, then I can understand uniformity and magnetic rotation. But magnets are made perfectly. If a magnet was created imperfectly, which can be done, and was weaker on the left side of the pole face than on the right, it could still produce current in an HPG. So how can a magnet with a lop-sided field be uniform, or how does a non-uniform magnetic field rotate?

A totally uniform magnetic field would in fact be very difficult to achieve for several reasons, but for the purpose of a homopolar generator, most magnets are accurate enough for a good demonstration and proof of concept.

Think of it as a conductor passing through a magnet field of the same polarity and density. The conductor still produces current flow in a seemingly non changing field.

Current flow is only produced when a conductor moves in a magnet field and using field density or polarity change is the easiest way to achieve it, but the field could be uniform and still produce current flow.

The problem with current flow in a uniform field is that the field can simply slip without crossing the conductor. As the field becomes less uniform, current will be generated up to the point where less work would be done by slipping. As the field becomes even less uniform even more work can be performed before slipping.

[MagnaProp]

@MagnaProp,
...I have seen a video of electrolysis being performed in the vicinity of a permanent magnet. In this case it must be considered that the electric current is causing the water's rotation...

Electrolysis may have been it. I see what you mean about it being electrical current that caused the bubbles to spin. In any case I think that the magnetic field can slip like lumen mentioned. I think it's like a worn out clutch. The central magnetic field shown in orange isn't coupled strongly to the ends of the magnetic hose nozzles. If the magnet spins, the flux lines easily detach and reattach from the domains from which they emanate and essentially stay in place. While I'm making stuff up, I'm going to say that I believe in string theory and that magnetic flux lines are our strings.

...I'm sorry that I'm questioning something that many of you believe in, but considering that electron spin, and electron procession, are the cause of magnetic fields, I don't understand how a magnetic field can be uniform. Electrons can be quantified and positioned in space. The produced magnetic fields should inherently be quantified and positioned in space.

Don't be. We must question this if we are to find the answer. You have a good point.

When you get enough flux lines bunched up together, they may resist movement as they bump into each other causing them to slip from the domains in the magnet from which them emanate. Magnetic flux also doesn't like to travel through air. Air tries to squeeze the flux lines and pinch them off the magnet.

[lumen]

This could be a good design to test the supposed uniform field slipping phenomenon.
The question is whether the field slips only at the magnets (or inside them) or does it also slip at any point there after. (like between the rotating cylinders)

Is it required that an electrical path be connected between both cylinders to generate or can it operate with circuits that are not connected as long as current flows in each cylinder.

The design certainly raises some questions.