I am trying to make an electromagnet sphere shape about 6 inches OD. Is this possible?
You can make an electromagnet in the shape of Daffy Duck, take a Daffy Duck shaped piece of iron and wrap wire around it.
Depends. What shape do you want the magnetic field to have?
A spherical symmetry for the field is impossible, but "spherical object with some magnetic field" is no problem.
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You'd need to produce a magnetic monopole to get a field with spherical symmetry.
If you succeed, I'd like to be the first one to invest!
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The vector field should depend only on the distance to whatever origin you choose.
I have a ball 15cm diameter, wherever I place a compass, outside the ball, the compass points away in a radial (as far as I can tell) direction.
How close am I to meeting your requirement?
If this is true regardless of how far out I place the compass, then you're describing the field produced by a magnetic monopole.
Your bar magnet idea will result in a non-magnetized sphere because all the fields will cancel out.
Your ring magnet comment is more interesting. If you take a 2 dimensional cross section of the ring magnets field which is parallel to the plane of the magnet but not centered, the field as it is observable within the 2 dimensional cross section will appear to be a monopole.
Now if you can create a magnet in the shape of a 4 dimensional torus you might get a magnetic field that looks like a monopole along a 3 dimensional cross section.
In order to do this you will have to either find a universe with 4 special dimensions or make your magnet small enough to use one of the dimensions that are curled up very small (assuming that they actually exist.
I forgot to mention that I ignored Earth's magnetic field but assumed that would be realised. The effects due to the Earth's magnetic field have nothing to do with the effects of my special ball.
No worries, my answer assumed the only contribution was from your ball.
Your experiment is flawed. It may be that you haven't been thorough in mapping your field or it may be that you compass is flawed.
If you can produce that ball of yours (a magnetic monopole) then my god yes, I'll throw all the money I can scrounge up at you.
Your result in not plausible.
If I turn out to be wrong and you win the Nobel Prize and create perpetual motion with your monopole then I will be happy to eat my words, perhaps with a nice onion sauce.
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