Hi Bob,
The biggest problem, other than the mechanics of making one part of the transformer rotate, may well be the size of the air gap across which you are trying to transfer power. Practically you will need some sort of transformer core, and at 200kHz it will effectively be limited to ferrite.
If you use a core, keep the airgaps as small as possible. This minimises flux leakage, making your transformer behave more like an 'ideal' transformer. The ratio of primary to secondary turns then can be closer to the theoretical V1/V2 = N1/N2. The additional turns you are considering are to compensate for the high leakage inductance of an air-cored coil.
I think Warpspeed's idea to use a pair of shell-type pot cores rotating on a common axis has some merit. If the mechanical axis is parallel to the flux lines, the windings will have no relative movement as far as the transformer is concerned, so it will behave more-or-less as it would when it was stationary.
Use a symmetrical waveform to drive the primary, rather than pulses. This will make better use of the core, maximising energy throughput.
Work on a maximum flux density of 0.3T for a general purpose ferrite like 3C8, and calculate your volts/turn for the primary winding on your chosen core. Calculate the secondary turns from the number of primary turns. You my need a few extra turns of the secondary to compensate for the effects leakage reactance.
Heating at 200kHz with tiny wire such as you are considering is pretty much according to Ohm's Law. Skin effect shouldn't be too significant, so use the DC resistance for your power calcs.
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