Phasors

Monday, 17 September 2018

12:17 PM

A phasor is a complex number that represents the amplitude and phase of a sinusoid.

 

A phasor is a representation of a wave based on Euler's identity

 

 becomes the real part

 becomes the imaginary part

 

 

Using Euler's Identity

Where

 

V is the phasor representation of the sinusoid

 

Time-domain Representation

 

Phasor-domain Representation

 

Machine generated alternative text: • Consider the plot of vejot = V ej@t++) — As time increases, the vector rotates on a circle of radius V" at an angular velocity in the counter clockwise direction. Rotation at rad Is 1m at t = to Re v(t) = Re(VejWt) = Vrn cos(wt + V) (b) v(t) = Irn(VejØt) = Vm sin(wt + 4))

 

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