Guitar Circuitry

The circuitry for the guitar is relatively simple. Here's the circuit diagram:

The leftmost connection in the ^{1}/_{4} jack is a ground connection; the rightmost one connects with an amplification circuit and the speaker in the amplifier. There is always a constant resistance across the full length of the potentiometer, so there is a constant resistance between the potentiometer side of the pickup and ground, ignoring the amplifier. The amplifier has a constant resistance, and it can be treated as a single resistor for the purposes of analyzing this circuit. The potentiometer adjusts the ratio between the resistance in the amplifier circuit path and the path straight to ground. Given Ohm's law, `V = IR`, and some time to derive the summation of ohmages for serial and parallel circuits (R_{T} = R_{1} + R_{2} + ... for series circuits, and 1/R_{T} = 1/R_{1} + 1/R_{2} + ... for parallel circuits), the function for the total resistance of the circuit is `R _{T} = (1/(100,000 - R_{1}) + 1/(amp resistance constant))^{-1} + R_{1}`, where R