Hello, I'm working on a project where I plan on using an LC oscillator to provide a sine wave signal. I'm new to analog electronics, so I am teaching myself about LC oscillators and am stuck on how to get them to not have their oscillations dampen. I understand that when you quickly apply power to the circuit, the circuit oscillates at it's resonant frequency, and these oscillations dampen quickly to zero due to resistance in the circuit. I was wondering how you can prevent this? I found this video from GreatScott, where he briefly says around 4:27 that this can be achieved by "connecting the output of the tank circuit to the input of an amplifier.... by choosing the amplification factor just right the output produces a steady sine wave." My two questions about this are (1) what type of amplification circuit is he using? It is shown briefly in the video. and also (question 2) how do you choose the amplification factor "just right?" I realize this is probably a lot I'm asking, but any help would be appriciated. Thanks!
https://www.youtube.com/watch?v=eYVOdlK15Og (talks about LC resonators at 2:55)