A phasor is a complex number used in engineering and physics to represent sinusoidal functions, particularly in the context of alternating current (AC) circuits. It simplifies the analysis of AC signals by transforming time-dependent sinusoidal waveforms into a steady-state representation.
In essence, a phasor consists of two main components:
1. **Magnitude**: This represents the amplitude of the sinusoidal waveform.
2. **Phase angle**: This indicates the phase shift of the waveform relative to a reference point, usually measured in degrees or radians.
Phasors allow for the use of algebraic techniques instead of differential equations to analyze circuits, making calculations much more straightforward. They are particularly useful for solving problems involving multiple sinusoidal sources and understanding the relationships between voltage and current in reactive components like inductors and capacitors.