Frequency Analysis of RC Circuits

In summary, the conversation discusses various aspects of a circuit and its behavior at different frequencies. Part 1 focuses on the circuit acting as a differentiator and the frequencies at which this occurs. Part 2 discusses the interchanging of the R and C components to create a low pass filter and the frequencies at which v_out/v_in = 0.95. Part 3 explores the RC circuit's behavior as an integrator at different frequencies. Part 4 involves designing a low-pass filter with a specific v_out/v_in ratio at a given frequency. Finally, part 5 asks for the frequencies at which v_out/v_in equals 0.01 and 0.99 for the filter designed in part 4.
  • #1
Sastronaut
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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

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  • #2
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
 
  • #3
Thank you nascentoxygen!
 

1. What is alternating current (AC)?

Alternating current is a type of electrical current that constantly changes direction, usually at a regular rate. It is the most common form of electricity used in households and businesses.

2. How is alternating current different from direct current (DC)?

Direct current flows in one direction, while alternating current changes direction. DC is commonly used in batteries, while AC is used in power outlets and for powering larger devices.

3. What is the frequency of AC and why is it important?

The frequency of AC is the rate at which it alternates direction, measured in Hertz (Hz). In the United States, the frequency of AC is typically 60 Hz. It is important because it determines the speed at which electrical energy is delivered and used.

4. How is AC generated and transmitted?

AC is generated by power plants using generators. It is then transmitted through power lines to substations, where it is converted to lower voltages and distributed to homes and businesses via power lines and transformers.

5. What are the advantages of using AC over DC?

AC is able to be transmitted over longer distances with less energy loss, making it more efficient for powering large areas. It is also easily converted to different voltages, allowing for more versatile use in different devices. Additionally, AC motors are more efficient and cost-effective than DC motors.

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