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Quality factor theorem

  1. Oct 6, 2009 #1
    hello all,
    I am having a hard time deriving the proof for the quality factor theorem stated as such:
    Q = 2 pi {Peak Energy Stored/Energy dissipated per cycle}.
    the wikipedia article is http://en.wikipedia.org/wiki/Q_factor
    and im working to solve the proofe showing that Wnot/deltaW is equal to

    one key point im having difficulty with is im not even sure how to solve for the energy lost. my intuition is i would perform an integral of the kinetic energy in terms of x(t)=Asin(Wnot(t)-[tex]\delta[/tex]) from 0 to 2(pi)

    thank you very much in advance.
  2. jcsd
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