Add currents with same frequency but different phase?

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Discussion Overview

The discussion revolves around the addition of alternating currents (AC) with the same frequency but different phases, specifically in the context of combining phasors in electrical engineering. Participants explore methods for calculating the total current when two current sources are in parallel.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that the total current can be calculated by directly adding the phasors I1 and I2, represented as I1 + I2 = 1<10 + 2<20.
  • Others argue that converting the phasors to complex numbers is a valid approach for combining them, as complex numbers effectively represent both amplitude and phase information.
  • A later reply mentions that when the frequencies are the same, the addition of signals can be performed using complex numbers, resulting in a new complex number that reflects the resultant amplitude and phase.
  • One participant suggests an alternative method of using a vector triangle to achieve the same result.

Areas of Agreement / Disagreement

Participants generally agree that the addition of currents with the same frequency can be performed using complex numbers or vector representation. However, there is no consensus on the preferred method or the implications of different frequencies.

Contextual Notes

Participants do not address potential limitations or assumptions in their approaches, such as the implications of phase differences or the conditions under which these methods apply.

yosimba2000
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So assuming I1 = 1<10 and I2 = 2<20

And assume these current sources are in parallel, pointing in same direction.

Can I say total current is I1 + I2 = 1<10 + 2<20 ?

I would convert the phasor to complex number to combine them, but will this work?
 
Last edited:
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yosimba2000 said:
Can I say total current is I1 + I2 = 1<10 + 2<20 ?

I would convert the phasor to complex number to combine them, but will this work?
Of course it will work.
That's why use of complex numbers is widespread in electric systems.
 
As Hesch mentioned, that is why complex numbers are used to represent AC signals. When the frequency is the same for two signals you can write the signals as complex numbers, which contain the amplitude and phase information, and then add them together like you would any two complex numbers. the resultant complex number contains the resultant amplitude and phase information.

When the frequencies are different then you have a more complicated problem. :)
 
Hesch said:
Of course it will work.
. . . or you can draw the vector triangle and get the same answer.
 

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