The saturated output voltages are (pm V_{P}) for the Schmitt trigger in Figure P15.47. (a) Derive the

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The saturated output voltages are \(\pm V_{P}\) for the Schmitt trigger in Figure P15.47.

(a) Derive the expressions for the crossover voltages \(V_{T H}\) and \(V_{T L}\)

(b) If \(V_{P}=12 \mathrm{~V}, V_{\mathrm{REF}}=-10 \mathrm{~V}\), and \(R_{3}=10 \mathrm{k} \Omega\), find \(R_{1}\) and \(R_{2}\) such that the switching point is \(V_{S}=-5 \mathrm{~V}\) and the hysteresis width is \(0.2 \mathrm{~V}\).

(c) Sketch the voltage transfer characteristics.

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