Phase Behavior of RL Circuits: Explained

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SUMMARY

The discussion centers on the phase behavior of RL circuits, specifically addressing the voltage relationships across resistors and inductors. It is established that in resonance, the impedance does not equal the resistance, leading to a consistent out-of-phase relationship between the voltages across the generator and the resistor. The use of Kirchhoff's laws to solve the differential equations governing these circuits is recommended for deeper understanding.

PREREQUISITES
  • Understanding of RL circuit fundamentals
  • Knowledge of Kirchhoff's laws for voltage and current
  • Familiarity with resonance in electrical circuits
  • Basic differential equations
NEXT STEPS
  • Study the phase relationships in RL circuits
  • Learn how to apply Kirchhoff's laws to circuit analysis
  • Explore resonance conditions in RLC circuits
  • Practice solving differential equations related to electrical circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying the dynamics of RL circuits and their phase behavior.

driedupfish
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Homework Statement



http://img14.imageshack.us/img14/7694/picture1yao.png

second part: the voltages across the resistor and the inductor are...

The answer given is always out of phase. Can someone explain why?
If the it is in resonance, wouldn't the impedance be equal to the resistance? Therefore, voltage across the generator and the resistor would be in phase?
The answer given for the second part is also always out of phase. Can someone explain that as well?
Thanks
 
Last edited by a moderator:
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Perhaps if you solved the differential equation obtained using Kirchoff's laws for voltage it might give you some insight.
 

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