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@ Anonymous,

The voltage (and current) will depend on the characteristics of your devices.  Your current will depend on the resistance of your coils.  The voltage across the capacitors (which is actually a function of the quality factor of your circuit) needs to be lower than the rated maximums (note that this can be quite a large voltage if the quality factor is large!).  And perhaps most importantly, the frequency of your AC needs to match the resonant frequency of the inductor-capacitor network.

You are correct in that you can drive the entire thing from an AC source.  Determining component values and circuit design is left as an exercise to the reader. ;-)

—Travis Deyle

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