AC Circuit (RL) Homework: Finding the Series R-L Equivalent for Two Loads

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SUMMARY

The discussion focuses on calculating the series R-L equivalent of two loads (Load A and Load B) connected to a 230V, 50Hz power supply. Load A has a power factor of 0.5 lagging, while Load B has a power factor of 0.87 lagging, both rated at 1kW. Participants clarify that the series R-L equivalent involves converting the impedances of both loads from parallel to series, taking into account the cable's resistance and inductance. The calculations utilize the equations for active and reactive power, emphasizing the importance of understanding impedance in AC circuits.

PREREQUISITES
  • Understanding of AC circuit theory, specifically R-L circuits
  • Familiarity with complex impedance and power factor calculations
  • Knowledge of the equations for active and reactive power in AC systems
  • Ability to convert between polar and rectangular forms of complex numbers
NEXT STEPS
  • Learn about calculating total impedance in series and parallel R-L circuits
  • Study the application of Euler's Theorem in electrical engineering
  • Explore the concept of power triangles and their use in power factor analysis
  • Investigate the effects of cable impedance on load performance in AC circuits
USEFUL FOR

Electrical engineering students, circuit designers, and professionals working with AC power systems who need to understand load characteristics and impedance calculations.

  • #31
NascentOxygen said:
Oops, :oops: what I had in mind is a Pythagorean identity

View attachment 75436

Using that first one, you can find the magnitude of sine (x) if you already know cosine (x).

(I'm not sure why I decided to credit it to Euler, but Euler has enough to his credit without me heaping more still, even in error.)

I see. I like the figure you attached above. Haha. :) Thanks a lot for your help! :D Yupp, Euler is a great Mathematician I think. I have heard of his name in my Science Club in high school, so I guess he must be very famous and made lots of contribution to the field of Mathematics. :)
 

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