Electrical Engineering ⇒ Topic : Integration Using OP Amp
Integration Using OP Amp
This circuit does integration of input voltage waveform. To build up the circuit, OP Amp is used in which feedback element is capacitor and input element is resistor. The schematic diagram of this circuit is shown in Figure (a). The relation of output voltage Vo, in terms of input voltage Vs, ca n be obtained by using KCL equation
figure (a) Integrator.
At node 1, the voltage is V1 = O. Using KCL at node 1, it can be written as:
Since Vi = 0 due to the virtual ground,
where C1 is the constant of integration.
The constant C1 is proportional to the input voltage at t = O. Equation (1) shows that the output voltage is proportional to the negative integral of input voltage and inversely proportional to the time constant R-C of the circuit. If the input is square wave, the output will be rectangular wave. The usage of integrator is mostly in analogue computers and analogue to digital (A/D) converters. It is also used in wave-shaping circuits
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