Convert AC Waveform from Polar to Rectangular with Phaser

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Discussion Overview

The discussion revolves around the conversion of an AC waveform from polar to rectangular form, specifically addressing the representation of the waveform as a complex number. Participants explore the implications of using complex numbers in this context and question the validity of the source material regarding the conversion process.

Discussion Character

  • Debate/contested, Technical explanation

Main Points Raised

  • Some participants question how a waveform can be represented as a complex number, noting that v(t) seems to correspond only to the x-axis length of the magnitude (vm).
  • There is a suggestion that the source may be incorrect regarding the representation of v(t) as x + jy.
  • One participant reiterates the conversion process, stating that in polar form, the magnitude and phase lead to the rectangular form v(t) = x + jy, where x = cos(phase) and y = sin(phase).
  • Another participant raises a concern about the axes, suggesting that one of them may yield an incorrect value and questions the necessity of the jx term in the expression v(t) = y + jx.

Areas of Agreement / Disagreement

Participants express differing views on the validity of the complex representation of the waveform, with some questioning the source and others attempting to clarify the conversion process. The discussion remains unresolved regarding the correctness of the representations and the implications of using complex numbers.

Contextual Notes

There are unresolved assumptions about the definitions of the terms used in the conversion process and the implications of using complex numbers in representing real quantities.

dE_logics
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When converting an AC waveform (from polar) to a rectangular form, a source quotes v(t) as x + jy.

But how is this possible?...I mean v(t) is clearly the x-axis length of r (vm).

Further more how does complex number come into the picture?...every thing is real.
 
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Is my source wrong?
 
Are you not getting the question?
 
dE_logics said:
When converting an AC waveform (from polar) to a rectangular form, a source quotes v(t) as x + jy.

But how is this possible?...I mean v(t) is clearly the x-axis length of r (vm).

Further more how does complex number come into the picture?...every thing is real.

in a polar form, you'll have the magnitude and a phase where a phase is nothing but actan(imaginary/real).

thus in rectangular form indeed, you you'll have v(t) = x +jy wheer x = cos(phase) and y = sin(phase).

Ok?
 
Ok so one of the axes will return a wrong value...right?

So how come v(t) = y + jx?; I mean it should be v(t) = y...the jx doesn't make a difference?
 

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