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

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The discussion revolves around finding the series R-L equivalent of two loads connected to a power source, with specific voltage, frequency, and power factor values. Participants clarify that the loads, while having lagging power factors, are not purely inductive and can be represented as combinations of resistance and inductance. The inclusion of cable impedance is acknowledged as a realistic factor, although it does not affect the nominal power calculations based on the specified load characteristics. The conversation also touches on converting polar impedance to rectangular form and the importance of understanding complex numbers in engineering calculations. Overall, the focus remains on accurately determining the equivalent impedance of the loads while considering the effects of the connecting cable.
  • #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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