The iron wouldn't maintain a magnetic charge at those temperatures.

You've got it the wrong way around; electric fields are created by moving magnetic fields.

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I don't know where you're getting any of this, but moving electrical charge (aka current) does create a magnetic field. Consult literally any textbook on electricity and magnetism.

Here's one source amongst many: https://www.studypug.com/physics-help/electric-currents-produce-magnetic-fields