Okay, I'm really all in for old methods, way before amplifying devices. The original tesla coil design didn't use any amplifying device, but utilised the harmonics from a spark gap, to excite high frequency oscillations in the primary of a HV transformer, and produce a much larger spark from the torus of the secondary. Now there are sooo many ways to do this but let's stick to the most basic. Typically tesla coils produce voltages from 50kV to several MV, at frequencies from 50kHz to 1MHz. I won't go into how it works, but I'll give you tips for the coils of the transformer. The primary should be wound around the secondary, on the base of the transformer. The secondary should be wound around a cone from the center of the base upwards. The primary should be wound over a 30cm diameter with a height of 55mm with 10turns of 1mm wire. The secondary should have an inductance of 470mH and can be wound over an enormous set of cores and parameters, but i recommend an air core (a plastic cone) with a diameter of 10cm, height of 12cm and 2800 Turns of wire around it. It should be placed at the center of the outer coil (the primary) with one end connected to ground and the other to the torus. You may experiment with the secondary's dimensions and turns, it's highly tolerant. Experimenting with the coil can be beneficial, because if the primary is made from 5 turns it doubles the voltage at the secondary (to up to 150kV)
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