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Electrodynamics Fourier Analysis (Fouriers Trick)

  1. Nov 14, 2015 #1
    1. The problem statement, all variables and given/known data
    Two infinitely grounded metal plates at y=0 and y=a are connected at x=b and x=-b by metal strips maintained at a constant potential V. Find the potential inside the rectangular pipe.


    2. Relevant equations
    Laplaces Equation


    3. The attempt at a solution
    I posted a photo of what i've done so far. The line indicates where I stray off I'm confused because how can I use fouriers trick with cosh?
     

    Attached Files:

  2. jcsd
  3. Nov 14, 2015 #2
    This is also example 3.4 in Griffiths E&M. He just breezes over the Fourier analysis part saying its the same as example 3.3 which is in this photo. However my cosh term doesn't cancel so I'm not just left with the sine term?
     

    Attached Files:

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