Differences between Active/passive integrator/differentiators

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In summary, an active integrator is an electronic circuit that uses an op-amp and feedback components to integrate an input signal over time. A passive integrator, on the other hand, uses only passive components and does not require an external power source. The main differences between the two are their input and output impedances, as well as the ability of an active integrator to provide a gain in the output signal. A differentiator, on the other hand, produces an output that is proportional to the rate of change of the input signal and can be either active or passive. It differs from an integrator in that it produces an output that is proportional to the derivative of the input signal, rather than the integral.
  • #1
mathman44
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Homework Statement



Hi,

I have a few questions about some differences between the two.

Why does an active integrator circuit, using an op-amp, not have the frequency restrictions found in a passive integrator circuit? Why does this also apply for two type of differentiator circuits?

Lastly, can active integrators/differentiators be used as low-pass and high-pass filters, respectively, in the same way as their passive circuit counterparts?
 
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  • #2
The first one has to do with the fact that the output of a passive integrator circuit only integrates the signal if Vo<<Vi, so R>>1/wc.
 

FAQ: Differences between Active/passive integrator/differentiators

What is an active integrator?

An active integrator is an electronic circuit that integrates an input signal over time. It uses an operational amplifier (op-amp) and feedback components to produce an output voltage that is proportional to the integral of the input signal.

What is a passive integrator?

A passive integrator is an electronic circuit that integrates an input signal over time using only passive components such as resistors, capacitors, and inductors. It does not require an op-amp or external power source.

How does an active integrator differ from a passive integrator?

An active integrator has a higher input impedance, which means it can handle a wider range of input signals without distortion. It also has a lower output impedance, making it better suited for driving other circuits. Additionally, an active integrator can provide a gain in the output signal, while a passive integrator cannot.

What is a differentiator?

A differentiator is an electronic circuit that produces an output voltage that is proportional to the rate of change of the input voltage. It can be either active or passive and is used in applications such as signal processing and control systems.

How does a differentiator differ from an integrator?

A differentiator and integrator are essentially opposite functions. While an integrator produces an output that is proportional to the integral of the input signal, a differentiator produces an output that is proportional to the derivative of the input signal. In other words, an integrator integrates the input signal over time, while a differentiator differentiates the input signal with respect to time.

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