Consider the Schmitt trigger in Figure P15.46. Assume the saturated output voltages are (pm V_{P}). (a) Derive

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Consider the Schmitt trigger in Figure P15.46. Assume the saturated output voltages are \(\pm V_{P}\).

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

(b) Let \(R_{A}=10 \mathrm{k} \Omega, R_{B}=20 \mathrm{k} \Omega, R_{1}=5 \mathrm{k} \Omega, R_{2}=20 \mathrm{k} \Omega\), \(V_{P}=10 \mathrm{~V}\), and \(V_{\mathrm{REF}}=2 \mathrm{~V}\).

(a) Find \(V_{T H}\) and \(V_{T L}\).

(b) Sketch the voltage transfer characteristics.

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