Frequency Analysis of RC Circuits

Click For Summary
SUMMARY

The discussion focuses on the frequency analysis of RC circuits, specifically addressing differentiator and integrator behaviors, as well as low-pass filter design. Part 1 establishes the frequencies at which the circuit acts as a differentiator, while Part 2 requires analyzing a low-pass filter to achieve a voltage gain of 0.95. Part 3 explores the conditions under which the RC circuit functions as an integrator. Finally, Part 4 involves designing a low-pass filter to achieve a specific voltage gain at 5 kHz.

PREREQUISITES
  • Understanding of RC circuit behavior
  • Familiarity with frequency response analysis
  • Knowledge of voltage divider principles
  • Basic circuit design skills
NEXT STEPS
  • Study the frequency response of RC differentiators
  • Learn about the design and analysis of low-pass filters
  • Explore the concept of integrators in RC circuits
  • Investigate the use of complex impedance in AC circuit analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or designing RC circuits for signal processing applications.

Sastronaut
Messages
68
Reaction score
0

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!
 

Attachments

  • pf.jpg
    pf.jpg
    30.3 KB · Views: 490
Physics news on Phys.org
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!
 

Similar threads

Combining High and Low Pass Filters
  • · Replies 2 ·
Replies
2
Views
2K
How to graph amplitude vs. frequency for a Low-Pass Filter?
  • · Replies 3 ·
Replies
3
Views
2K
High School Multiple frequency EMFs and capacitors
  • · Replies 9 ·
Replies
9
Views
1K
Capacity with 2 R in RC circuit
  • · Replies 3 ·
Replies
3
Views
1K
Bandpass Filter Homework Statement
  • · Replies 6 ·
Replies
6
Views
2K
Need help finding current on RC circuit
  • · Replies 5 ·
Replies
5
Views
7K
How Does Coil Configuration Affect Current in LR Circuits?
  • · Replies 14 ·
Replies
14
Views
5K
Calculating Charge and Time in a Discharging RC Circuit
  • · Replies 3 ·
Replies
3
Views
2K
Trouble with a Passive RC Twin-T Notch Filter
  • · Replies 2 ·
Replies
2
Views
5K
How Does Frequency Affect RLC Circuit Outputs?
  • · Replies 3 ·
Replies
3
Views
2K