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Angle of a complex number

  1. May 22, 2009 #1
    1. The problem statement, all variables and given/known data

    Hey guys.
    I have the next transfer function

    http://img195.imageshack.us/img195/7924/scan0002l.jpg [Broken]

    And I want to find the angle of it.
    I know I can break it into REAL and IMAGINARY but I'm looking for a faster way, is there?


    2. Relevant equations

    3. The attempt at a solution
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. May 22, 2009 #2


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    Homework Helper

    Hi asi123! :smile:

    Hint: if w R and C are all real, then the angle (phase) of 1 + jwRC is arctan(wRC) :wink:
  4. May 22, 2009 #3


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    Not really; finding the real and imaginary parts here is fairly quick. Just multiply both the numerator and denominator by the conjugate of the denominator, then [tex]\phi=\arctan\left(\frac{\text{Im}[H]}{\text{Re}[H]}\right)[/tex].
  5. May 22, 2009 #4
    For this on, but I'm asking in general.

  6. May 22, 2009 #5
    Ok, I don't see any logic in that.
    This is not a homework question, I know the answer, why would you give me a hint?
    Is there a rule how to get to the angle?

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