respectively, where V and I are the peak values and < and d are phase angles with respect to a reference sinusoid.
90 degrees B
-90 degrees A
Figure A.11 Phasor representation of AC quantities
Figure A.13 Addition of AC voltages
If two AC voltages are added together by being connected in series as in Figure A.13, their voltage magnitudes do not directly add or subtract as with scalar voltages in DC. Instead, these voltages are complex quantities, and just like the above phasors, which add up in a trigonometric fashion, an 8 volt source at 0 ° added to a 6 volt source at 90 ° (both RMS) results in 10 volts at a phase angle of 36.86
The property of phasors that, although stationary on a page, enables them to represent AC time varying sinusoidal quantities is of inestimable value in the calculation of power flows in complex AC circuits containing voltage sources and combinations of R, L and C elements.
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