Describe an integrator circuit, Electrical Engineering

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Q. Describe an integrator circuit ?

A circuit in which output voltage is directly proportional to the integral of the input is known as an integrating circuit. An integrating circuit is a simple RC series circuit with output taken across the Capacitor C.

In order that circuit renders good integration, the following conditions should be full-filled.

1. The time constant RC of the circuit should be very large compared to the time period of the input wave.

2. The value of R should be 10 or more times larger than Xc.

Let ei be the input alternating voltage and let i be the resulting alternating current. Since R is very large compared to capacitive reactance Xc of the capacitor, it is reasonable to assume that the voltage across R(i.e. eR) is equal to the input voltage.i.e.

1342_Describe an integrator circuit.png

Thus the output is proportional to the time integral of the input.


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