Twin Tee "NOTCH FILTER" Problem

This problem deals with what is called a "Twin Tee" notch filter. Properly adjusted, it gives a deep null at a single frequency and can be used to remove an unwanted signal from a communication system. The problem: derive the transfer function from the input to the output to determine how to set the values of the unknown resistor, Rx, and capacitor, Cx, to generate the null and at what frequency the null occurs at. You can assume an unloaded output to make the analysis easier. That is, let RL go to infinity (open circuit) Extra credit: derive the transfer function, Vo/V1, with the network loaded with a finite RL. All capacitors and resistors are assumed to be ideal. For the really brave, assume the capacitors have an ESR (equivalent series resistance) of "r" in series with each capacitor. How does that affect the null depth and null frequency? Hint: look at how I setup the symmetric bridge network to analyze using thevenin equivalents in the video: Bridge Network part1: Solution to Lewin problem 24