Consider the three-stage cascade feedback circuit in Figure 12.41. Each stage corresponds to the circuit in Figure P12.65, with transistor parameters: \(h_{F E}=180, V_{B E}\) (on) \(=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). The source resistor is \(R_{S}=10 \mathrm{k} \Omega\), and the load resistor is \(R_{L}=4 \mathrm{k} \Omega\). Determine the value of \(R_{F}\) such that the closed-loop gain is \(A_{v}=v_{o} / v_{i}=-80\).

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RC ww RF www Vcc R ty C ww Rs C ww-H Vi www R RC ww R www www RE www HH C R RC HH ww R www RE www R R ww 0 HH R www RL VO ww C HH Figure 12.41 Example of multistage shunt-shunt feedback circuit