Is There a Connection Between Complex Power and RL/RC Circuits?

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SUMMARY

The discussion confirms the relationship between complex power and RL/RC circuits through the use of specific impedance values and voltage sources. By setting a source voltage of E = 2V RMS and using impedances of Z = 1 + 1j Ω for RL circuits and Z = 1 - 1j Ω for RC circuits, participants can calculate complex power using the formula S = EI*, where I* is the complex conjugate of the current. This method allows for practical experimentation with complex power calculations in electrical engineering.

PREREQUISITES
  • Understanding of complex power in electrical circuits
  • Familiarity with RL and RC circuit components
  • Knowledge of complex conjugates in mathematics
  • Basic proficiency in using Ohm's Law and impedance calculations
NEXT STEPS
  • Explore the derivation of the complex power formula S = EI*
  • Learn about the implications of impedance in AC circuit analysis
  • Investigate the differences in power factor between RL and RC circuits
  • Study the effects of varying source voltage on complex power calculations
USEFUL FOR

Electrical engineers, students studying circuit theory, and professionals working with AC power systems will benefit from this discussion.

in06khattab
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Is this true?
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Or is this true?
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Ø and Q are from this equation:
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You can play with a few numbers to confirm or refute the statements. Here's how.

Suppose you assume a source voltage of E = 2V RMS. Set your impedance to a convenient value like Z = 1 + 1j Ω for an RL load, or to Z = 1 - 1j Ω for an RC load.

Now, a very handy formula to know is that the complex power is given by S = EI*, where I* is the complex conjugate of the current I (the sign of the imaginary term is reversed). You can determine the current for your sample values as I = E/Z. Plug in the values and see how the various signs and angles turn out.
 
Thanks a lot
 

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