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Voltage Phasor

"Voltage Phasor" is a representation of voltage as a sinusoidal integral quantity using a complex quantity whose argument is equal to the initial phase and whose modulus is equal to the root-mean-square value. A phasor is a constant complex number, usually expressed in exponential form, representing the complex amplitude (magnitude and phase) of a sinusoidal function of time. Phasors are used by electrical engineers to simplify computations involving sinusoids, where they can often reduce a differential equation problem to an algebraic one.

http://www.iso.org/iso/home/store/catalogue_tc/catalogue_detail.htm?csnumber=31891

http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=131-11-26

When $u = \hat{U} \cos{(\omega t + \alpha)}$, where $u$ is the voltage, $\omega$ is angular frequency, $t$ is time, and $\alpha$ is initial phase, then $\underline{U} = Ue^{ja}$.

$\underline{U}$

"Voltage Phasor" is a representation of voltage as a sinusoidal integral quantity using a complex quantity whose argument is equal to the initial phase and whose modulus is equal to the root-mean-square value. A phasor is a constant complex number, usually expressed in exponential form, representing the complex amplitude (magnitude and phase) of a sinusoidal function of time. Phasors are used by electrical engineers to simplify computations involving sinusoids, where they can often reduce a differential equation problem to an algebraic one.