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Phase angle
From Wikipedia, the free encyclopedia
The phase angle of a point on a periodic wave is the distance between the point and a specified reference point, expressed using an angular measure. This angular measure is obtained by projecting a rotating vector onto the real axis of the complex plane.
The phase angle of a vector may be written in angle notation as M ∠θ, where M is the magnitude of the vector and θ is the phase angle relative to the specified reference point. The reference point may be fixed in space, or a point on another periodic wave. In the latter case, the waves may be plotted on a suitable coordinate system, such as a Cartesian plot, with degrees or other angular measure usually plotted on the abscissa and amplitude on the ordinate. Usually, at least one full cycle of each wave is plotted, with 360° (2π radians) encompassing one full cycle. The reference points may be any significant instants on the waves, such as where they cross the abscissa.
For example, in electrical engineering, sinusoidal voltage and current can be expressed as a sine function with a magnitude such as:
Where φ is the phase angle, Vm is the amplitude, ω is the angular frequency, and t is time.
In many cases, the phase angle is expressed in degrees while the product ωt is usually expressed in radians.
- Electric Circuits (7th ed) by James Nilsson and Susan Riedel
This article contains material from the Federal Standard 1037C, which, as a work of the United States Government, is in the public domain.