Engineering Principles V11

Clive W. Humphris

COMPLEX NUMBERS: Polar to Rectangular Number Conversion.  

Equations used in electronics are frequently written in 'polar form' to mathematically represent the amplitude of an AC signal with its corresponding phase angle.

A complementary method is in 'rectangular form', which then enables these values to be drawn as phasors. This is often referred to as j notation.

Real numbers (± r) appear on the horizontal axis. Imaginary numbers (± j) on the vertical axis. Positive phase angles are anti-clockwise. Negative phase angles clockwise. Beginning at the +r or 3 O'clock position as 0°.

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