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!

Wave Interference and superposition

  1. Jan 24, 2008 #1
    Consider two point sources S1 and S2 which emit waves of the same frequency and amplitude A. The waves start in the same phase, and this phase relation at the sources is maintained throughout time. Consider point P at which r1 is nearly equal to r2.

    a) Show that the superposition of these two waves gives a wave whole amplitude Y varies with the position P approximately according to:

    Y = (2A/r)cos(k/2)(r1-r2)

    in which r = (r1+r2)/2.

    b) Then show that total cancellation occurs when (r1-r2)=(n+.5)λ and total reinforcement occurs when r1-r2 = nλ

    so initially we have
    W1 = Asin(kx-wt-r1)

    W2 = Asin(kx-wt-r2)

    and we can use sinB + sinC = 2sin(.5)(B+C)cos(.5)(B-C)

    to make them look like: [2Acos((r2-r1)/2)]sin(kx-wt-(r1+r2)/2)

    but i believe that only works if they are always in phase

    any help would but much appreciated, i've been stuck on this for a long time

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

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Discussions: Wave Interference and superposition
  1. Superposition of waves (Replies: 3)

  2. Wave superposition (Replies: 1)