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Amplitude of sum of waves with different frequencies

  1. Nov 30, 2011 #1
    Hi everybody, this is my first post here :P

    I'm currently struggling over a weird problem, which asks for the amplitude (eg, max value) of a sum of many waves with different frequencies.

    eg,
    max value of
    [itex] \sum_0^N {A_i cos(w_i t + \phi_t)} [/itex]
     
  2. jcsd
  3. Dec 1, 2011 #2

    BruceW

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    Homework Helper

    Welcome to the forum, imago :)

    Usually in the homework section, people write in the given format, and give an attempt at the answer. But anyway, about the problem: did you mean phii instead of phit ? phii would make more sense, as the 'i'th wave's phase factor.

    There are probably a few ways to get the answer to the question... What were your initial thoughts?
     
  4. Dec 1, 2011 #3

    olivermsun

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    Science Advisor

    Hint: "with different frequencies"
     
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