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A regular hexagon of side 10 cm has a ch...

A regular hexagon of side 10 cm has a charge `5 muC` at each of its vertices. Calculate the potential at the center of the hexagon.

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A we know that electric potential is a scalar quantity and due to a system of charges electric potential is the algebraic sum of the electric potential due to the individual charges. As a regular hexagon is given here, the distance of the centre from each corner is same as the side length of the hexagon.
Thus, the electric potential at point O due to all the charges can be calculated as:
`V=6xx(1)/(4pi epsilon_(0)) (q)/(r )`
`=(6xx9xx10^(9)xx5xx10^(-6))/(0.1)`
`=2.7xx10^(6)` volt
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