Solved: The voltage source in the circuit in Fig. P7.96(a) is generating the triangular

Chapter 7, Problem 7.96

(choose chapter or problem)

The voltage source in the circuit in Fig. P7.96(a) is generating the triangular waveform shown in Fig. P7.96(b). Assume the energy stored in the capacitor is zero at t = 0 and the op amp is ideal.

a) Derive the numerical expressions for \(v_{o}(t)\) for the following time intervals: \(0 \leq t \leq 1 \ \mu \mathrm{s}\); \(1 \ \mu \mathrm{s} \leq t \leq 3 \ \mu \mathrm{s}\); and \(3 \ \mu \mathrm{s} \leq t \leq 4 \ \mu \mathrm{s}\).

b) Sketch the output waveform between 0 and \(4 \ \mu \mathrm{s}\).

c) If the triangular input voltage continues to repeat itself for \(t>4 \ \mu \mathrm{s}\), what would you expect the output voltage to be? Explain.