Low pass filter circuit questions

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SUMMARY

A low pass active filter constructed around an operational amplifier (op-amp) exhibits constant gain and no filtering when the capacitor is removed, effectively transforming the circuit into a non-filtering amplifier. The absence of the capacitor eliminates the frequency-dependent behavior, resulting in a flat gain across all frequencies. As frequency increases towards very large values, the amplitude does not roll off without the capacitor, as it is the capacitor that typically introduces this frequency-dependent attenuation. This behavior can be analyzed using the transfer function of the circuit, which incorporates the capacitor's impedance.

PREREQUISITES
  • Understanding of operational amplifiers (op-amps)
  • Basic knowledge of filter design principles
  • Familiarity with frequency response analysis
  • Knowledge of transfer functions in circuit analysis
NEXT STEPS
  • Study the design and function of active low pass filters using op-amps
  • Learn about the role of capacitors in frequency-dependent circuits
  • Explore the concept of transfer functions and their applications in filter design
  • Investigate frequency response and gain roll-off in electronic circuits
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Electrical engineering students, circuit designers, and hobbyists interested in filter design and operational amplifier applications.

thenerveman
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Homework Statement



Why does a low pass active filter give a constant gain and no filtering when the capacitor is removed? What type of circuit does this become? Support your answer with equations.

also

Does the amplitude eventually roll off as the frequency was increased toward to a very large value? how would you determine this value? Why does this occur?

Homework Equations



not sure


The Attempt at a Solution



i don't know where to start really. Our professor is a week behind in his lectures and he assigned this.. I am stuck on these two questoins.
 
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Search for a low pass filter constructed around an OP-AMP.
 
The capacitor is the frequency dependent component and, as nascent oxygen has indicated, an op amp has some frequency dependency
 

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