In the circuit in Figure P15.28, let (R_{F 1}=R_{F 2}=R_{F 3} equiv R_{F}), (R_{2}=R_{3}=R_{A 1}=R_{A 2}=R_{A 3}

Question:

In the circuit in Figure P15.28, let $R_{F 1}=R_{F 2}=R_{F 3} \equiv R_{F}$, $R_{2}=R_{3}=R_{A 1}=R_{A 2}=R_{A 3} \equiv R, C_{1}=C_{2}=C_{3} \equiv C$, and let $R_{1}$ be a variable resistance $R_{1}=R_{V}$.

(a) Derive the expression for the frequency of oscillation.

(b) If $R_{V}=R$, determine the condition for oscillation.

(c) 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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