Quxk electromagnet help

here's what's different between the two, you can see that the lines of force are concentrated on the coaxial magnet and spread out on the axial one.
 

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for whatever rated voltage, + to one wire. - to the other. reversed polarity gets N and S reversed, still works as an electromagnet. not a lot to it.
 
like this...
 
sorry about that, but the actual question was that vague.
it's a single coil exactly like the axial solenoid, so there is no difference with regards to the wire.
the opposite pole piece is wrapped back around as a shell over the coil, much like a speaker magnet.
 
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