Something else like a Wien bridge oscillator

Exercise 9.7 Something else like a Wien bridge oscillator

Given is the harmonic oscillator circuit below. The circuit contains two amplifiers, one with voltage gain A and the other with voltage gain equal to 1.

pict

a): Derive an expression for the oscillation (angular) frequency of this oscillator, expressed in e.g. A, $C$ , $L$ , $R_{1}$ , and $R_{2}$ .
b): Derive the value for the voltage gain A required for harmonic oscillation, expressed in e.g. $C$ , $L$ , $R_{1}$ , and $R_{2}$ .

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