How do you use operational amplifier as differentiator, Physics

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How do you use operational amplifier as differentiator and adder/subtractor.

Fig. shows differentiator or differentiation amplifier. As its name implies, circuit performs mathematical operation of differentiation; that is, output waveform is  derivative  of  the  input  waveform.  Differentiator  can be  constructed  from  a basic inverting amplifier, if an input resistor R1 is replaced by a capacitor C1.

Expression for the output voltage can be obtained from Kirchoff's current equation written at node v2 as follows:

 

2009_operational amplifier.png


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