Let's say I have a field (electric or magnetic or something) and it's time-varying so I choose to represent its components as phasors.(adsbygoogle = window.adsbygoogle || []).push({});

Say the field is:

[tex]\vec{F} = X\hat{x} + Y\hat{y} + Z\hat{z}[/tex]

where, X, Y and Z are complex numbers.

Now, I want to find the amplitude of the field. If X, Y and Z were real (time constant field), I'd just go:

[tex]F = \sqrt{X^2 +Y^2 +Z^2}[/tex]

but I have no idea what to do here. Also, I'm not sure if there's an easy way to do this or not. Any ideas?

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# Amplitude of field with phasor components

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