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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. | ||
+ | |||
+ | ==== Useful Phasors Facts ==== | ||
+ | |||
+ | <math>e^{j\theta} = \cos{\theta}+j\sin{\theta}</math> | ||
+ | |||
+ | <math>Ae^{j[\theta+\phi]}=Ae^{j\theta}e^{j\phi}</math> | ||
+ | |||
+ | <math>\cos{\theta}=\frac{e^{j\theta}+e^{-j\theta}}{2}</math> |
Revision as of 18:03, 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} $