Consider the Schmitt trigger in Figure 15.30(a). (a) Derive the expression for the switching point and crossover

Question:

Consider the Schmitt trigger in Figure 15.30(a).

(a) Derive the expression for the switching point and crossover voltages as given in Equations (15.76) and (15.77).

(b) Let \(V_{H}=+12 \mathrm{~V}\) and \(V_{L}=-12 \mathrm{~V}\). The minimum resistance is to be \(4 \mathrm{k} \Omega\). Determine \(R_{1}, R_{2}\), and \(V_{\text {REF }}\) such that the crossover voltages are \(V_{T H}=-1.5 \mathrm{~V}\) and \(V_{T L}=-2 \mathrm{~V}\).

(c) What are the currents in the resistors when (i) \(v_{O}=V_{H}\) and (ii) \(v_{O}=V_{L}\) ?

Figure 15.30(a):-

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