Line 4: Line 4:
  
 
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} $

Alumni Liaison

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

Dr. Paul Garrett