What's the theoretical potential for how strong electromagnets can get? If you just kept coiling a solenoid longer and wider, and fed more and more current into the coil, would the field strength in the middle get arbitrarily dense?
This is the closest related question I could find: How to wire a STRONG electromagnet?
I understand that the core will eventually saturate and thus stop helping to increase the field. But I think increasing the other parameters still makes for a stronger magnet.
Best Answer
Superconducting magnets can get quite high fields, higher than the limit given by the core electromagnets, as the LHC experiments have demonstrated, but are subject to limitations of the cryogenics and the materials:
Fig1. NbTi superconducting properties.
So the limits on obtainable magnetic fields come from the materials used.