#### Electrical Systems

##### Rotating Phasors
Trigonometric Form

Phasor Form (Rectangular form)

(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.