Consider the Schmitt trigger oscillator in Figure 15.35. The circuit parameters are (R_{1}=10 mathrm{k} Omega, R_{2}=20 mathrm{k}

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Consider the Schmitt trigger oscillator in Figure 15.35. The circuit parameters are \(R_{1}=10 \mathrm{k} \Omega, R_{2}=20 \mathrm{k} \Omega, R_{X}=40 \mathrm{k} \Omega\), and \(C_{X}=0.02 \mu \mathrm{F}\). The saturated output voltages are \(\pm 5 \mathrm{~V}\).

(a) Write the expressions for \(v_{X}\) as a function of time assuming that \(v_{O}\) has switched to its high state at \(t=0\).

(b) Determine the frequency of oscillation and the duty cycle.

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