The current my motor uses isn't the same current just leaving the PS either.
Between the generator and user are many stages, some at voltages and frequencies florescent tubes light up just being in the changing field but see how far away even that small effect quits.
The effect in the video relies on moving charges, it's an opposite and equal force, and we find out how the circle closes.
DSL uses the field outside of the twisted pair wires to reach much higher speeds than modem signal inside of the wire.