Re: Continuous current on an equipment ground conductor.
It does work that way. The magnetic field created in the primary is based on the current in each wire. The current induced in the secondary is based on the strength of the magnetic field.
Put current through a long, straight wire, and you will create a magnetic field. Put another wire close by, and the magnetic field will create a voltage in the second wire. Now put the same current in each of two side-by-side wires, and you will get double the magnetic field. Put a third wire close by the pair of current-carrying wires, and you will get double the voltage.
But a long, straight wire does not make for a very good (i.e., efficient) primary side of a transformer. That is because of the shape of the magnetic field. The field around a straight wire looks like a series of cylinders that surround the wire. The cylinders closer to the wire have the stronger field, and the cylinders farther from the wire have weaker fields. But if you wrap a single wire in a loop, then the magnetic field is concentrated towards the center of the loop. Wrap it in a pair of loops, and you double the field. Wrap the wires in many loops around a bar of iron, and the field gets much bigger (iron is a better ?conductor? of magnetic fields than air). Finally, wrap 20 turns of wire around one side of a ring of iron, then wrap 10 turns around the other side of the same ring, and you get a 2:1 step-down transformer. The fact that the two coils share the same core (i.e., the iron ring) means that the magnetic field created by the primary windings will be carried (with very small loses) to the center of the secondary windings, thereby inducing a voltage in the secondary.
The short answer is that you can create a transformer by laying the primary and secondary wires side by side in long, straight lines. But you might need a couple of miles of wire to get enough secondary power to light up your desk lamp.