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Complex Modulus

Complex Modulus, also known as the "Norm" of a complex number, is represented as $ |z| $.

$ |x + iy| = \sqrt{x^2 + y^2} $

In exponential form for $ |z| $

$ |re^{i\phi}| = r $

(This format is used when dealing with Phasors)


Basics

$ |z|^2 $ of $ |z| $ is known as the Absolute Square.

$ \frac{|Ae^{i\phi}|}{|Be^{i\phi}|} = \frac{A}{B}\frac{e^i\phi}{e^i\phi} $

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