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Cell[CellGroupData[{
Cell[" Re or Im of Analytic Functions  as Potentials", "Subsection"],

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Cell[TextData[{
  " ",
  StyleBox["Here is the \"Complex\" Potential:  We need the Im part of \
\[CapitalPhi].",
    FontColor->RGBColor[1, 0, 0]]
}], "Text"],

Cell[BoxData[
    \(\[CapitalPhi] = \((8/\[Pi]^2)\)\ Sum[\((\(-1\))\)^
              m\ Exp[\((2  m + 1)\)\ I\ \[Pi]\ \ z]/\((2  m + 1)\)^2, {m, 0, 
            Infinity}]\)], "Input"],

Cell[BoxData[
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      Im[\[CapitalPhi]] /. \ z \[Rule] x + \ I\ y, {x, 0, 1}, {y, 0, 1/2}, 
      AxesLabel \[Rule] \ {"\<x\>", "\<y\>", "\<\[CapitalPhi]\>"}, 
      PlotRange \[Rule] \ {{0, 1}, {0, 1/2}, {0, 1}}]\)], "Input"],

Cell[TextData[StyleBox["Find the \"Complex\"  Electric field as a function of \
(x,y)",
  FontColor->RGBColor[1, 0, 0]]], "Text"],

Cell[BoxData[
    \(Ez\  = \ \(-D[\[CapitalPhi], z]\)\)], "Input"],

Cell[BoxData[
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Cell[TextData[{
  StyleBox[" Find  \[Sigma]x,  the charge density on the surface y = 0.\n\
Note:  \[Sigma]x = Ey  = ",
    FontColor->RGBColor[1, 0, 0]],
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      \(TraditionalForm\`\(-\[PartialD]\_y\ \(\(Im\)\([\)\)\)\)],
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Cell[BoxData[
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