Understanding Signal Distortion & Phase Shift w/ Resistor/Capacitor Circuits

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SUMMARY

The discussion focuses on the impact of capacitance and inductance on signal distortion and phase shift in resistor-capacitor (RC) circuits. It establishes that different frequencies experience varying degrees of attenuation and phase shift, which alters the received signal compared to the sent signal. The phase shift, quantified as the angle φ between voltage and current in an RLC circuit, can be adjusted by introducing resistance. Specifically, a capacitor introduces a 90-degree phase shift, and resistance is necessary to achieve intermediate phase differences.

PREREQUISITES
  • Understanding of RLC circuit components (Resistors, Inductors, Capacitors)
  • Knowledge of signal processing concepts (attenuation, phase shift)
  • Familiarity with electrical impedance and its calculations
  • Basic grasp of filter types (low-pass and high-pass filters)
NEXT STEPS
  • Explore the concept of electrical impedance in-depth
  • Learn about the design and application of low-pass and high-pass filters
  • Investigate the effects of resistance on phase shift in RLC circuits
  • Study the mathematical representation of phase shift and its implications in circuit design
USEFUL FOR

Electronics engineers, circuit designers, and students studying signal processing and electrical engineering principles will benefit from this discussion.

jeff1evesque
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Statement:
Capacitance and inductance in a circuit allow different frequencies to travel with differing degrees of attenuation and phase shift. This causes the received signal to be different from the signal sent.

Question:
With low and high pass filters, we can control what kind of signal continues to the remaining portion of the circuit by attenuating either signal at high frequencies or at low frequencies [by the construction of resistors and capacitors]. Can someone explain to me how one would change the phase of the signal sent; more specifically
Capacitance and inductance in a circuit allow different frequencies to travel with differing degrees of phase shift?

Statement:
In a purely resistive circuit, the signal received will be a scaled version of the signal sent \Rightarrow no distortion.

Question:
Does this mean the amplitude of the signal received will smaller? I am not familiar with the term distortion, does that mean the signal will have the same wavelength?

Thanks,


JL
 
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jeff1evesque said:
Statement:
Capacitance and inductance in a circuit allow different frequencies to travel with differing degrees of attenuation and phase shift. This causes the received signal to be different from the signal sent.

Question:
With low and high pass filters, we can control what kind of signal continues to the remaining portion of the circuit by attenuating either signal at high frequencies or at low frequencies [by the construction of resistors and capacitors]. Can someone explain to me how one would change the phase of the signal sent; more specifically

Statement:
In a purely resistive circuit, the signal received will be a scaled version of the signal sent \Rightarrow no distortion.
The phase shift is the angle \phi between voltage and current in an RLC circuit. If the circuit does not contain resistance the phase difference will be + 90 or -90 (+- \frac{\pi}{2}. In order to have a phase difference of something in between you need resistance.

See, for example: http://en.wikipedia.org/wiki/Electrical_impedance

AM
 
That's all that's meant by it? Since we have a capacitor in the circuit, the wave that travels through the capacitor will have a voltage that is 90 degrees difference in phase? Is there any other implications- should the wave after going through the capacitor be 90 degrees out of phase with the wave coming into the capacitor?

Andrew Mason said:
In order to have a phase difference of something in between you need resistance.AM
So any kind of resistance will due (pure resistors, capacitors-with their impedance, inductors)?

Thanks,

JL
 

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