TonyStewart
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The characteristics on an arc are similar to an SCR. Trigger voltage, conduction resistance(on), insulation resistance (off) holding current (DC) and zero-crossing extinguish current.
With a steady voltage above the holding current, you have a tiny plasma corona generator.
With a steady voltage and current limited below holding current, you have a tiny random relaxation oscillator or a flea zapper.
A resonant oscillator is slow to start depending 0.35/BW which depends on Q=fo/BW.
Without a theory of operation or a design spec, you have little to go on.
With a steady voltage above the holding current, you have a tiny plasma corona generator.
With a steady voltage and current limited below holding current, you have a tiny random relaxation oscillator or a flea zapper.
A resonant oscillator is slow to start depending 0.35/BW which depends on Q=fo/BW.
Without a theory of operation or a design spec, you have little to go on.