RLC Black box at different frequencies

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SUMMARY

The discussion focuses on identifying the components within a black box connected to an AC circuit, specifically whether it contains a resistor with a capacitor or a resistor with an inductor, and their configuration (series or parallel). Key methods include analyzing the total impedance changes with frequency: an increase in impedance with frequency indicates an inductor, while a decrease indicates a capacitor. To determine the configuration, the phase shift changes must be compared, as the behavior of the circuit differs significantly between series and parallel connections.

PREREQUISITES
  • Understanding of AC circuit theory
  • Knowledge of impedance and phase shift concepts
  • Familiarity with series and parallel circuit configurations
  • Experience with frequency response analysis
NEXT STEPS
  • Study the relationship between impedance and frequency in RLC circuits
  • Learn about phase shift analysis in AC circuits
  • Explore methods for determining series vs. parallel configurations
  • Investigate the effects of frequency on capacitive and inductive loads
USEFUL FOR

Electrical engineers, students studying circuit theory, and anyone involved in analyzing AC circuits and RLC configurations will benefit from this discussion.

IonKim
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Supposed there is a black box connect to an AC circuit. Inside the black box, there are either a resistor connected with a capacitor or a resistor connected with a inductor. They can be connected either in series or in parallel. The total impedance and phase shift of the black box at 2 different frequency are given. How can I figure out what components are inside the black box and how are they connected?

I know I can figure out if there is a capacitor or an inductor inside by comparing the change of the total impedance to the frequency change. If the total impedance increase as the frequency increase, there is an inductor inside. Otherwise, there is a capacitor inside.

However, how can I figure out if they are connected in series or parallel? Should I compare the change of the phase shift to figure it out?
 
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As a popular member here likes to say, a question well stated is half answered. You know what happens if just a resistor is the load and you know what happens when just a capacitor or inductor is a load. So the frequency can be lowered to the point that the capacitor would virtually appear to be missing. How would this differ from a series circuit to a parallel circuit? You see where I am going with this? BTW, welcome to the forum.
 

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