Electrical Systems

Rotating Phasors
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Trigonometric Form
a 1   =   Dummy text a 2   =   Dummy text
Phasor Form (Rectangular form)
a 1   =   Dummy text a 2   =   Dummy text

(See the polar form in the above drawing box)

Consider a point moving on the circle. At any point of time it's position has an X component and a Y component.


The X component is A.cos(ωt) and Y component is A.sin(ωt).


A is the radius of the circle which is same as maximum value of sinusoidal waves.


From the above two lines it is deduced that a given circular motion is linked with a particular sinusoid. Alternatively we can represent a sinusoid by a circular motion or a rotating phasor.


For a particular frequency all the rotating phasors are rotating at the same speed. Hence their relative position does not change.



The Phasor diagram is just a snapshot of the rotating phasors. Phasor diagram helps calculating the circuit state geometrically. In fact considering one phasor horizontal (called as reference) simplifies the calculation.

In the phasor diagram a rotating phasor is represented by a complex number that takes care of both the X and Y components.