Frequency Analysis of RC Circuits

AI Thread Summary
The discussion focuses on analyzing an RC circuit's behavior at various frequencies, specifically addressing its function as a differentiator and integrator, as well as designing a low-pass filter. The user has successfully completed the first part but struggles with subsequent sections, particularly in understanding the calculations for the low-pass filter and the output-to-input voltage ratios. Key insights include using the potential divider approach for the low-pass filter and considering capacitive reactance in the analysis. Assistance is sought for completing the remaining parts of the homework. The conversation highlights the complexities of frequency analysis in RC circuits.
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Homework Statement


part 1. at what frequencies will the circuit act as a differentiator?
part 2. interchanging R and C of figure D produces a low pass filter. At what frequencies will v_out/v_in = .95?
part 3. at what frequencies will the RC circuit of problem 18 act as an integrator?
part 4. design a low-pass filter that has v_out/v_in =0.5 at 5kHz
part 5. for the cicuit that you designed in problem 20, at what frequencies will v_out/v_in equal .01 and .99?


Homework Equations





The Attempt at a Solution


I have completed part 1 but I am having issues in understanding where to begin for the other parts of this problem. I have attached my work and as well the circuit. any help would be greatly appreciated! thanks pf!
 

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For part 2, you analyze the low pass filter as a potential divider, not overlooking the j term in capacitive reactance.

v(o) / (in) = vC / ( vR + vC ) = 0.95
 
Thank you nascentoxygen!
 

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