Newbie level 1
I don't have an electronics background, I'm just a guitarist. But one thing I've noticed a lot in audio electronics is the use of preamps. What I don't understand is why there is a separate preamp and power amp. My simple understanding is that we have a signal that is basically a sinusoidal function F(x). When the signal comes from say an electric guitar, it's amplitude is very small. By amplifying it we're just multiplying F(x) by some constant. I know in reality all the components color the signal and introduce distortion, but putting that aside, why would you amplify a signal, by a factor of 10 and then amplify it again by a factor of 100 instead of just amplifying it by a factor of 1000 in one go?