Hi,Thank you MrAl and t_n_k for your valuable inputs. Now that I think of it, yes, if I want inductive loads in the coil to make a difference, maybe it would be best to wind it around a core. On the other hand, I want to find out how the arrangement I proposed behaves differently, and what you're proposing is that I practically build a three phase motor, and I already know how that will behave... though once I have the magnet, and assemble it with an axis and bearings and a coupled DC motor, building a three-phase winding will probably not be too much extra work... we'll have to wait and see...
For your construction, the way it appears right now, i dont think you can use a core like a toroid. That's because the field will be outside the toroid not inside. If you look at the construction of a simple motor you'll see how they arrange the pole pieces, with turns of wire around those poles. When a magnet comes close to a pole, it energizes the pole piece and that changing field energizes the wire wrapped around it, but most important is that the pole pieces have open faces where the north or south pole comes close and that is how the pole gets temporarily magnetized.
Looking at a simple motor drawing, or perhaps taking a cheap DC motor apart, will show this better than i can explain here. The point being that the magnetic field has to be oriented in the correct manner in order for the wire to get energized by the field properly. With open wires there is no question that a moving field will do something, but with a core a little more care has to go into the orientation with the rotating field.
Maybe a simpler way of saying this is that the magnet has to be oriented directly in line with the core, in series magnetically, at least some of the time to be effective.
If this isnt clear i'll try to find some drawings.