The circuit in Figure P15.28 is an alternative configuration of a phaseshift oscillator. (a) Assume that (R_{1}=R_{2}=R_{3}=R_{A_{1}}=R_{A_{2}}=R_{A_{3}}

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The circuit in Figure P15.28 is an alternative configuration of a phaseshift oscillator.

(a) Assume that \(R_{1}=R_{2}=R_{3}=R_{A_{1}}=R_{A_{2}}=R_{A_{3}} \equiv R\) and \(C_{1}=C_{2}=C_{3} \equiv C\). Show that the frequency of oscillation is \(\omega_{o}=\sqrt{3} / R C\).

(b) Assume equal magnitudes of gain in each amplifier stage. What is the minimum magnitude of gain required in each stage to sustain oscillation?

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