Question 2 (50 marks) Vi R www R ww Vol R3 M Voz (t) = Figure...

 

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Question 2 (50 marks) Vi R₁ www R₂ ww Vol R3 M Voz (t) = Figure 2 Square and triangular waveform generator The op-amp circuit shown in Figure 2 above is a square and triangular waveform generator; the former and latter obtained from the outputs of the first and second stages respectively. C (a) The first op-amp stage is a non-inverting Schmitt Trigger. Explain the operation of this circuit, sketch the relationship between the input and output voltages, v₁ and voi respectively. Vo2 R₂ Show that the upper and lower threshold voltages are given by +¹Vrail where ±Vrail is the DC power supply to the op-amp. (b) The second op-stage is an integrator. Show that -RC S V01 (t) dt R₂ 4R₁ R3C where vo1 (t) and v02 (t) are the input and output voltages of the integrator as a function of time. (c) Show that the frequency of the generated square and triangular waveforms is given by f (d) Given Vrail = 12 V, calculate suitable components R₁, R2, R3 and C to generate a triangular waveform of 1 kHz and peak-to-peak voltage of 16 V. Question 2 (50 marks) Vi R₁ www R₂ ww Vol R3 M Voz (t) = Figure 2 Square and triangular waveform generator The op-amp circuit shown in Figure 2 above is a square and triangular waveform generator; the former and latter obtained from the outputs of the first and second stages respectively. C (a) The first op-amp stage is a non-inverting Schmitt Trigger. Explain the operation of this circuit, sketch the relationship between the input and output voltages, v₁ and voi respectively. Vo2 R₂ Show that the upper and lower threshold voltages are given by +¹Vrail where ±Vrail is the DC power supply to the op-amp. (b) The second op-stage is an integrator. Show that -RC S V01 (t) dt R₂ 4R₁ R3C where vo1 (t) and v02 (t) are the input and output voltages of the integrator as a function of time. (c) Show that the frequency of the generated square and triangular waveforms is given by f (d) Given Vrail = 12 V, calculate suitable components R₁, R2, R3 and C to generate a triangular waveform of 1 kHz and peak-to-peak voltage of 16 V.