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A phasor (of phase vector), is a complex number representing a sinusoidal function whose amplitude A, angular frequency ω and initial phase θ are time-invariant.



The phasor (or complex amplitude) is a vector in the complex plane from the origin, and written as

A e


    A Amplitude
    e Number e
    i Imaginary unit
    θ Phase


Example 1

The complex number z = 1 + i can be written as a phasor, because

so that


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