Electrical Engineering ⇒ Topic : Differentiator
In this circuit, the passive elements of integrator, i.e., R and C are interchanged. Figure (1) shows the schematic diagram of a differentiator. In this case, the output voltage is proportional to the derivative of input voltage.
Figure (a) Differentiating circuit using OP Amp.
Using KCL at node 1, it can be written as:
IC = IR
If Vi is the voltage at node 1, it can be given as:
Therefore, the output voltage V, is equal to the product of time constant RC and the negative rate of change of input voltage with time.
A differentiator circuit performs the reverse of the integrator circuit, i.e., if the input of differentiation is rectangular wave, the output will be square wave.
It is generally used in wave-shaping circuits to detect high frequency components in an input signal. It is also used as a rate of change of detector in frequency modulator. It has the following drawbacks:
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