Radial currents non-inductive

According to laws as taught at present, if the writer (and some others) understand them correctly, when electrons travel from the center of a circular disk to the circumference (or the reverse) they will not encounter any self-inductance in this radial path. Hence such a one-way circuit is non-inductive, which seems to mean that no flux is generated. Hence, even if the current is very large, a magnetic needle placed in close proximity to such a disk would not show any deflection. It would be a curious case of a uni-directional current without any magnetism.