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Find radiated energie using Parseval Theorem

  1. Feb 7, 2012 #1
    1. The problem statement, all variables and given/known data

    A radiated wave has electrical field:

    E = e^-t/τ sen(ω0t) for t>0 and 0 for t<0

    Using Parseval Theorem calculate the radiated energie in the intervale of frequencies: (ω,ω+dω)

    2. Relevant equations

    Parseval Theorem: ∫ |E(t)|^2 dt = (1/2π) ∫ |E(ω)|^2 dω

    3. The attempt at a solution

    I am not sure about what is demanded. Am I simply supposed to find E(ω)? To do so I make E(t).E*(t) to get |E(t)|^2, integrate, and then how do I get to E(ω)?

    Thank you for any attention
     
  2. jcsd
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