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Gain and Output Voltage

For the following operational amplifier circuits, find the gain and output voltage theoretically:

a) Non-Inverting Amplifier Circuit (see attached file Non-Inverting Amplifier.jpg)
b) Voltage Follower Amplifier Circuit (see attached file Voltage Follower Amplifier.jpg)
c) Inverting Amplifier Circuit (see attached file Inverting Amplifier.jpg)

Please show the steps on how you derived the equations using the circuits. If you include the input and output waveform of each circuit, that would also help my understanding a lot. Thanks.

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This solution contains step-by-step calculations to determine the gain and output voltage theoretically as well as modified diagrams to illustrate the circuits for further understanding.

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