Definition 1 of 2
Definition
In an alternating current (AC) circuit, the angular difference, measured in degrees of a single cycle (0° to 360°), between two related sine waves — typically between voltage and current, or between two voltages or two currents. When voltage and current peak at the same instant, the phase angle is 0° and they are 'in phase.' When one leads or lags the other, the phase angle expresses how far apart in the cycle their peaks occur.
Plain English
How far out of step two AC waves are with each other, measured as part of a full cycle. Zero degrees means they rise and fall together; ninety degrees means one is a quarter-cycle ahead of or behind the other.
Context Anchor
Seen in aircraft electrical-system theory, alternator discussions, and troubleshooting involving alternating-current, or AC, power.
Derivation
From Greek 'phasis' meaning 'appearance' or 'stage,' used in physics to describe a particular point in a repeating cycle. 'Angle' is used because one full cycle of an AC waveform is treated like one full rotation — 360°. So 'phase angle' is literally 'where in the cycle' one wave sits compared to another.
Why Pilots Care
In aircraft AC systems, phase angle affects how voltage and current combine to produce real, usable power. A large phase angle between voltage and current means the system is moving energy back and forth without doing useful work, which reduces efficiency and can stress generators and components.
Analogy
Think of two runners on a circular track. If they run side by side, their phase angle is 0°. If one is a quarter-lap ahead, they are 90° apart — same speed, same track, just offset in the cycle.
Intuition Check
Phase angle is not an angle you see on the airplane structure. It is a way to describe timing difference in a repeating electrical cycle.
Example Sentence 1
In a purely resistive circuit, the phase angle between voltage and current is zero, so the two waveforms peak at the same moment.
Example Sentence 2
A shift in phase angle showed the circuit had developed an unexpected reactive load.