1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Opposite of a complex question

  1. Jan 25, 2010 #1
    [tex](\frac{1}{0.81e^{j0.27}})*[/tex]=[tex]\frac{1}{0.81}e^{j0.27}[/tex]
    why we can remove the constant?
    why the conjugate of a complex number is multiplication of the angle by -1
     
  2. jcsd
  3. Jan 25, 2010 #2
    Complex conjugation is distributive over multiplication, and a real number is not affected by it, therefore you can pull the constant out.

    The angle thing comes from euler's formula:

    [tex]e^{j\theta}=cos(\theta)+jsin(\theta)[/tex]

    So

    [tex](e^{j\theta})*=cos(\theta)-jsin(\theta)=cos(-\theta)+jsin(-\theta)=e^{-j\theta}[/tex]
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook