I was thinking of the GHz range for communication, and 60Hz to get power into the box without having to have a hole with a wire going through it. So the 60Hz would be like an inefficient transformer with a coil on the inside, a coil on the outside, and hope I get away with not having an iron core.
Dunno whether that makes much more sense than what you thought I was thinking or not.
It is precisely that. However, depending on the thinkness of the wall of the box, you may want to consider a higher frequency. For a given mechanical size, you get a higher coupling factor when frequency goes higher. That's why avionic AC was traditionally on 400 Hz, to get the transformer-type components smaller. To avoid the annoying whine, you may want to choose a frequency more typical of, say, switch-mode power supplies. That is, supersonic.
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Dunno whether that makes much more sense than what you thought I was thinking or not.
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