sorry erasmus. I forgot to tell you, I looked it up, and asked about it on physicsforums. It is impossible to have a maget with a pole in the center and the other pole as a ring around the outside. A flat earth could not have a magnetic field where one pole is at the north pole, and the other is at the south pole. Because magnetic north is always in the direction of the north pole (generally) then a flat earth could not exist, at least not one where the north pole is in the center.
Sorry, but I have to poke a hole in your statement. I believe that people told you it's impossible. And they should, because you were asking the wrong question. A thin disc with the north pole in the center and the south pole on the edges is pretty much impossible, even without attempting some Maxwell's equation on it. Just drawing the magnetic lines would tell you that (magnetic lines cannot have sharp turns, which they would have to at the "north pole" of this disc).
However, the flat earth is the top of a cylinder with the top as north pole, and the bottom as south pole. You would get the same effect as if the edges of that cylinder is the south pole, if you were limited to only the flat top disc of that cylinder.
Am I making any sense with this? The edge of the FE would not be the real magnetic south pole, just the effective magnetic south pole.
Of course, in this model, the magnetic field would weaken the further one is from the magnetic north pole, which is not at the exact center of Flat Earth, but pretty close. Although I suspect that magnetic field varies a bit on the real Earth, I also suspect that it becomes stronger near the magnetic north pole (which currently is not at the "top" of the real Earth, but somewhere in the seas off northern Canada) and
also near the magnetic south pole.
Another possibility may be that FE is not a thin, solid disc, but a torus, just like a CD, DVD, or LP, and the inside edge is north while outer edge is south pole. Although I'm not too sure if this magnetic configuration is possible.