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Complex Value

Complex representation of harmonic time dependency facilitates multiple phase analysis based on one complex solution. Real and imaginary parts of a complex quantity

z = z0·e i·(ωt + φz),

have phase angles shifted by 90 degrees, and their linear combination may be used to represent any arbitrary phase angle.

z = z0·cos(ωt + φz),

where z0 is a peak value of z, φz - its phase angle, and ω - the angular frequency.

time diagram of sinusoidaly varied quantity vector diagram of sinusoidaly varied quantity

Related Topics
Complex Vector.