Choosing electromagnet for propulsion of train

Yh, once I choose the magnets to attach to the side of the train

No, do it now with a spring scale! Then you will have a clue about the strength of the magnets you need!

rn, I don't have anything just the models of the project on blender, I haven't started physically, do you mean calculating the weight of train and like finding pushing force of the magnet?

And the friction of the axles and the wheels, etc.

There are no axels and wheels, it uses superconductors

And I'm 3d printing the train so the weight will be negligible, just weight of the magnets at the side

What will those temperatures do to your magnets iron cores?

the train is being carried by superconductors, but there are permanent magnets at the side, the superconductors don't interact with the electromagnets

I posit a long bar magnet (or multiple bars held parallel strongly) held over an EM so that the field lines cross. If the EM field is equal to the magnet(s) field at halfway between N and the middle then the EMs will try to push the magnet(s) to hold them at that between N and middle point of the magnet(s) over the center of the EM, go there and stop. Since the EM field can change, you get position control with that.

IMO, the hand rules go with a study of Faraday-Lenz to figure out the direction of B from current flow in the coils. IIRC, right hand rule.

Yes, go to the basics! The strength of the magnets and the number of loops and what core material are all as important as the current fed to the EM. More loops make a stronger field at the same current.

Also note that there is no Voltage term in Faraday-Lenz. But without V, no current flows, still 1A at 3V is as strong as 1A at 5V once the field is up.

The mu-metal cages would soak up field. So will a piece of steel, just less so.

Just FYI, super-magnets and super-conductors are not the same. The magnets don't need to be chilled halfway to absolute zero to work.

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