Pretty cool. Maybe you just invented a new GFI tester.
The GFI senses a current imbalance between the hot an neutral wires by measuring any magnetic energy radiating from the wires. If everything's ok, the magnetic field from one wire cancels the field from the other so there is no measurable magnetic field.
I'll bet your transmitter puts out strong enough electromagnetic radiation to be sensed by the GFI.
I'm definately going to try this. What type of radio and what channel were you on?