Chapter 14. The integrator and the integral operation circuit

The integrator output signal proportional to the input signal; 

First, the integrator circuit diagram:

Voltage across R is V-Vi;

and soI=C\frac{dV}{dt}=\left ( V_{i}-V \right )/R

By maintaining a larger RC product, soV\ll V_{i}

then  I=C\frac{dV}{dt}=V_{i}/R

Circuit for integrating an input signal thereof;

Integrator is widely applied to the simulation, the feedback control system is mainly used, analog to digital conversion, generating waveform aspects like.

Note: a large voltage applied to the resistor to simulate a large current source.

 Second, a current source for charging the capacitor C may generate the ramp voltage waveform

It can be seen as a large voltage V and the resistance R is approximately a large current source;

Which generates a waveform:

 Third, the integral calculation circuit

Virtual virtual short and clear offU_{i}/R_{1}=I=C\frac{dU_{o}}{dt}

thenU_{i}/R_{1}C=\frac{dU_{o}}{dt} \Rightarrow \frac{1}{R_{1}C}\int U_{i}dt=U_{o}

That is, the integrator output and the input Uo \int U_{i}dtproportional;

Integral calculation circuit may convert the square wave into a triangular wave; 

When the condition of the RC integrator circuit a lot;

 

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Origin blog.csdn.net/weixin_42143745/article/details/90552011