Answered! Derive the mathematical relationship between the output v_0 and input v_i voltages for the op- amp…

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Derive the mathematical relationship between the output v_0 and input v_i voltages for the op- amp circuit shown in figure 3 (a) below. If the output voltage waveform is as shown in figure 3 (b), find and sketch the input voltage.

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Answered! Derive the mathematical relationship between the output v_0 and input v_i voltages for the op- amp…
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Derive the mathematical relationship between the output vo and input vi voltages for the op amp circuit shown in figure 3 (a) below. If the output voltage waveform is as shown in figure 3 (b), find and sketch the input voltage. 1 Mn 1 Mo t(ms) (a) Figure 3

Expert Answer

 The given circuit works as the integrator.

The given input should be positive square wave with the time period of 2 ms

If we apply a constantly changing input signal such as a square wave to the input of an Integrator Amplifier then the capacitor will charge and discharge in response to changes in the input signal. This results in the output signal being that of a sawtooth waveform whose output is affected by the RC time constant of the resistor/capacitor combination because at higher frequencies, the capacitor has less time to fully charge. This type of circuit is also known as a Ramp Generator.

Answered! Derive the mathematical relationship between the output v_0 and input v_i voltages for the op- amp... 1

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