Consider the phase-shift oscillator in Figure P15.30.

(a) Assume the first resistor that is connected to \(v_{o}\) is a variable resistor \(R_{V}\). Derive the expression for the frequency of oscillation in terms of \(C, R\), and \(R_{V}\).

(b) Using the results of part (a), determine the range in the frequency of oscillation for \(R=25 \mathrm{k} \Omega, C=0.001 \mu \mathrm{F}\), and \(15 \leq R_{V} \leq 30 \mathrm{k} \Omega\).

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