In a standard AC Tesla coil, the output spark from the dome (torus) at the top appears to come out in a steady, constant stream. However, since the AC on/off/reverse function of the AC current in the primary coil causes a similar on/off/reverse induction in the secondary coil, does that mean that 60 times a second the electrons in the output spark are shooting out, stopping, and then experiencing a reverse "pull" back into the dome, or is something else keeping the electron stream constantly pouring out only one way (sort of DC style) into the air?
2 Answers
The output from a tesla coil is indeed ac but it's a lot higher than 60Hz. Using a 50 or 60Hz supply is convenient because it has the power to generate a decent charge into a capacitor that connects through to the primary via a spark gap. See this explanation for starters.
The primary coil (via the spark gap) resonates with the primary capacitance and this forms a parallel tuned circuit. For high-Q parallel tuned circuits, the current that flows between primary coil and capacitor is very high and usually tens to hundreds of kHz.
This generates an alternating magnetic field that impinges on the 2nd coil. This second coil has much higher Q than the first coil and is tuned by the capacitance of the large terminal to ground. It is also a parallel tuned circuit and when tuned to be at the same frequency as the primary resonance produces rather large voltages that most of us have seen on videos.
All this happens at very much larger frequencies that AC mains. Normally, on tesla coil demonstrations, a medium voltage dc supply is used to charge C1 up to the voltage needed to break-down the spark gap.
As an aside, I've used low voltage tesla coils (tuned primary and secondary coils) to couple useful amounts of energy across a 40mm gap to power electronics on a rotating machine. OK they don't use the spark gap to initiate a spark but they do use exactly the same principle. There is also a lot of talk about using this technique to power lamps wirelessly. I don't think it will replace wires though because energy transfer is fairly inefficient.

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Yes, Andy, that makes sense. I'll revise my thinking about this subject based on your input. Now, one more question....When the ac cycle is in reverse, i.e., the current being drawn back into the dome, do the electrons in the ambient air "feel" this pull? – user32016 Nov 10 '13 at 04:03
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Here's why I ask...Using a small, low power Tesla coil, I fed the spark to a a leaf electroscope. No reaction from the leafs. Then I attached a HV rectifier diode to the electroscope input wire, and when I zapped the wire, the two leaves instantly separated, indicating that they were fully charged. I repeated this experiment many times, always with same result. Hence, I interpreted this to mean that without the HV diode, the charge that was injected into the electroscope immediately was "withdrawn" by the a.c. style reversal of the tesla current. Am I correct? – user32016 Nov 10 '13 at 04:40
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That sounds correct. – Andy aka Nov 10 '13 at 08:09
Yes. AC where the plasma from the Tesla coil connects to whatever, but the ionized leader from the Tesla coil is now maintaining a conductive path thru the air and a bias voltage applied across it could produce a net current assuming the other requirements for currents are met.