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[QUIZ/EM-01001] Equal Point Charges on Corners of a Regular Polygon

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 Equal charges \(Q\) are placed on corners of a regular polygon. Show that the electric field at the center of polygon is zero.  Use only geometrical arguments. Do not write any  expressions or equations.
 You may write a small paragraph or draw a figure. \\
 
  The proof is easy for a polygon of even number of sides. How about the case charges on a regular polygon  of odd number of sides?
 Sketch figures to indicate a proof for a regular pentagon.

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