Consider an equilateral triangle inscribed in a circle with a point charge
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Consider an equilateral triangle, inscribed in a circle of radius a, with a point charge q at each vertex. The electric field is zero (obviously) at the center, but (suprisingly) there are three other points inside the triangle where the field is zero. Where are they? (b) For a regular n-sided polygon there are n points (in addition to the center) where the field is zero. Find the distance from the center for n=4 and n=5.
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