The Phasor Method of Analysis

 

The Phasor Method of Analysis

Definition:
A phasor is a complex number representation of a sinusoidal function in terms of its magnitude (amplitude) and phase angle. Phasors simplify the analysis of AC circuits by converting time-varying signals into steady-state values that can be easily manipulated using algebra.

Example:
If the voltage across an AC circuit is $V(t) = V_{\text{max}} \sin(\omega t + \theta)$, the corresponding phasor is:

$$V = V_{\text{max}} \angle \theta$$

where $\theta$ is the phase angle.