1. Not finding help here? Sign up for a free 30min 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!

Waves question

  1. Sep 14, 2011 #1
    1. The problem statement, all variables and given/known data

    Write a wave in one space dimension as ARe(ei(kx-wt-d))where A is the
    amplitude of the wave. Find a second wave of the same frequency such that
    the sum of the two vanishes at x = 0 and x = L. Assuming the wave velocity
    c = w/|k| is fixed, for what frequencies ! is this possible?



    3. The attempt at a solution

    My attempt: I Let x1 = ARe(ei(kx-wt+d)) be wave 1 and x2 = A'Re(ei(kx-wt+d')) be wave 2.
    since they vanish at x=0,L, I obtained the following equations:
    ARe(ei(-wt+d))+A'Re(ei(-wt+d)) = 0 and ARe(ei(Lk-wt+d))+A'Re(ei(Lk-wt+d)) = 0.
    My question is: should I solve this equations and find the frequencies that satisfy this equation ?? Am I in the right path to solve the problems? Id Like to hear different opinions and different approaches.

    Thanks,

    Juan
     
  2. jcsd
  3. Sep 16, 2011 #2
    Don't we want a standing wave where at least one pair of nodes is at 0 and L?

    See,
     

    Attached Files:

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Waves question
  1. Wave Questions (Replies: 1)

  2. Waves Question (Replies: 1)

  3. Wave question (Replies: 1)

  4. Question about Waves (Replies: 8)

Loading...