Electric field at the centre of pentagon
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1 Answer. (i) The point O, the centre of the pentagon is equidistant from all the charges at the end point of pentagon. Thus, due to symmetry, the electric field due to all the charges are cancelled out. As a result electric field at O is zero.
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Electric field at the center of a polygon: symmetry! ... Regular pentagon with a charge q placed on each of its vertices. In this case, θ=2π/5. For a general regular polygon with N sides, θ=2π/N.
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