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Where A is the radius of the phasor and <math>\phi</math> if the offset.
 
Where A is the radius of the phasor and <math>\phi</math> if the offset.
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==== Useful Phasors Facts ====
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<math>e^{j\theta} = \cos{\theta}+j\sin{\theta}</math>
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<math>Ae^{j[\theta+\phi]}=Ae^{j\theta}e^{j\phi}</math>
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<math>\cos{\theta}=\frac{e^{j\theta}+e^{-j\theta}}{2}</math>

Revision as of 19:03, 9 September 2008

Phasors

$ x(t)=Ae^{j\theta+\phi} $

Where A is the radius of the phasor and $ \phi $ if the offset.

Useful Phasors Facts

$ e^{j\theta} = \cos{\theta}+j\sin{\theta} $

$ Ae^{j[\theta+\phi]}=Ae^{j\theta}e^{j\phi} $

$ \cos{\theta}=\frac{e^{j\theta}+e^{-j\theta}}{2} $

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett