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!

Polar complex form waves

  1. Feb 11, 2015 #1
    1. The problem statement, all variables and given/known data
    What is the amplitude and phase of the complex function?

    f(t) = (1-2i)e^(iwt)

    2. Relevant equations
    None/unknown
    Normal Polar Form = Real*e^imaginary
    i = e^pi/2*i
    3. The attempt at a solution

    I am trying to bring this into a normal polar form to easily see the phase and amplitude.

    I have got e^iwt - 2e^i(wt+pi/2)

    But now I do not know how to combine these two expressions to make 1 wave?
     
  2. jcsd
  3. Feb 11, 2015 #2
    Try to rewrite [tex]1-2i[/tex] as [tex]A\exp(i B)[/tex]
     
  4. Mar 1, 2015 #3
    1 - 2i = √5 [cos (11 ⋅ pi / 12) + i sin (11 ⋅ pi / 12)] = √5 e^[i(11 ⋅ pi / 12)]

    f(t) = (1-2i) [e^(iwt)]

    f(t) = √5 e^[i(11 ⋅ pi / 12)] [e^(iwt)]

    f(t) = √5 e^i[11 ⋅ pi / 12 + wt]

    f(t) = √5 [cos ((11 ⋅ pi / 12) + wt)] + i √5 [sin ((11 ⋅ pi / 12) + wt)]

    Re[f(t)] = √5 [cos ((11 ⋅ pi / 12) + wt)]

    Amplitude: √5

    Phase: (11 ⋅ pi / 12) + wt

    ----------------------
    Örsan Yüksek
     
    Last edited: Mar 1, 2015
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Polar complex form waves
  1. Form of a Plane wave? (Replies: 2)

  2. Polarization of Waves (Replies: 2)

Loading...