Question

A regular hexagon of side 10 cm has a charge at each of its vertices. Calculate the potential at the centre of the hexagon.

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Solution

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Let be the centre of the hexagon 
It follows that the point , when joined to the ends of a side of the hexagon forms an equilateral triangle.

Since at each comer of the hexagon, a charge of pc i.e., is placed, total electric  potential at point due to the charges at the six comers,


.

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