Hi,
I built the "8 million gain" circuit http://www.talkingelectronics.com/projects/200TrCcts/200TrCcts.html#8 from TE. It works even if I use an alligator clip cable instead of the copper plate (I don't have the latter). I'm not entirely sure about how it works, so I'd like to ask a few questions:
1) From what I understand, the metal strip has some capacitance to ground. This strip works as one "plate" of the capacitor, while the other "plate" would be the wire connecting the last emitter to the battery negative terminal. AC current flows into this capacitor and gets amplified by the cascade of transistors. Is this correct?
Thanks to the electric fields all around us, our body works like a voltage source (relative to some concept of ground) and the voltage is high enough to eventually provide enough base current to the first stage.
2) Are the resistor values critical? I'm talking about the first two (the last one is obviously limiting the current through the LED). I tried lowering them and the light from the LED looks the same to the naked eye. From what I understand lower resistor values will consume more current but the final result is the same because the last transistor is always saturated. Am I wrong?
If you assume each transistor has a gain of 200, you can kind of work out the math and, frankly, it doesn't work as well as it could. The first stage will have a collector current, max, of 6V/1M of 6 uA. To saturate the transistor will take as little as 6 uA divided by 200 or 30 nA of base current. Now that 6 uA goes into the base of the second stage and, again, there is a x200 multplier so the collector current could be 1.2 mA. But, wait, the 100k resistor will only allow 60 uA to flow into the base of the third stage. Again, we have a x200 so we could have as much as 12 mA of collector current and this just might be enough to get decent brightness out of the LED. All numbers rounded, hacked and bashed.
If I were experimenting, I would leave the 1M resistor alone, reduce the 100k to 47k to get more base current to the 3rd stage.
Since I am too lazy to do the actual calculations, I would put the circuit in LTSpice and see how it works out. It's a lot easier to experiment by banging on a keyboard than it is to solder bits and pieces.