For my second Circuit Notes entry I decided to go with the Wien Bridge Oscillator. This time around the math wasn’t as intensive as it was for the Type III compensation with one exception. I had originally got the right answer in my derivation but had made a math error in the final step that I caught while writing in my Field Notes book. When I corrected the mistake I no longer knew how to make the math work out to give the correct output voltage at the resonant frequency. Wikipedia helped some by claiming RC was normalized to 1 but didn’t state why and I still don’t know. Is it just to make the math easier or is there a deeper reason for doing so?

Maybe college me could figure it out but present me is a tad rusty and so that last step is left as an exercise to the readers. I’ll keep digging and post an update if I find it or someone can correct me. Either way, the Evernote link can be found here and if you have any recommendations for a circuit you’d like to see analyzed feel free to send them my way.

References:

http://en.wikipedia.org/wiki/Wien_bridge_oscillator

http://www.electronics-tutorials.ws/oscillator/wien_bridge.html