Differences between Active/passive integrator/differentiators

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SUMMARY

The discussion focuses on the differences between active and passive integrators and differentiators, specifically highlighting that active integrator circuits utilizing operational amplifiers (op-amps) do not face the frequency limitations inherent in passive integrators. This is due to the active components providing gain, which allows for better performance across a wider frequency range. Additionally, it is established that active integrators and differentiators can function as low-pass and high-pass filters, respectively, similar to their passive counterparts, but with enhanced capabilities.

PREREQUISITES
  • Understanding of operational amplifiers (op-amps)
  • Knowledge of circuit theory, specifically integrators and differentiators
  • Familiarity with frequency response in electronic circuits
  • Basic concepts of filter design (low-pass and high-pass)
NEXT STEPS
  • Study the design and application of operational amplifiers in integrator circuits
  • Research the frequency response characteristics of active vs. passive filters
  • Explore the mathematical principles behind integrators and differentiators in circuit design
  • Learn about practical applications of active filters in signal processing
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Electronics engineers, students studying circuit design, and professionals involved in signal processing and filter design will benefit from this discussion.

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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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.
 

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