A circuit whose output signal is proportional to the integral of the input signal is called an integrating circuit.
Principle: From Figure 2, Uo=Uc=(1/C)∫icdt, because Ui=UR+Uo, when t=to, Uc=Oo. Then C is charged, and since RC≥Tk, the charging is very slow, so it is considered that Ui=UR=Ric, that is, ic=Ui/R, so
Uo=(1/c)∫icdt=(1/RC)∫icdt
This is the integral of the output Uo proportional to the input Ui (∫icdt)
Integration condition of RC circuit: RC ≥ Tk Figure 2. Integration circuit
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