What you're talking about is essentially an EMP. They don't generally emit continuously. Instead you just set off a single strong pulse which induces such high currents in receiving antennas that they melt or otherwise damage connected circuitry.
At these levels of power, any amount of conductive material tends to start acting as an antenna. If you set up a continuous transmitter you're going to have trouble not damaging your own delivery and power mechanisms.
The most common way to generate one is to set off a nuclear bomb that has been finetuned to release most of its energy as electromagnetic radiation.
I think holding more helium in a smaller space is the opposite of what you want. The lifting force is equal to the weight of the air being displaced, so you want as little stuff as possible in as big a volume as possible.
Maybe if you went the other way round and compressed the atmosphere?