Convert AC Waveform from Polar to Rectangular with Phaser

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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?