Q 2.2)  A regular hexagon of side 10 cm has a charge 5 µC at each of its vertices. Calculate the potential at the center of the hexagon.

 
The given figure shows six equal amounts of charges, q, at the vertices of a regular hexagon.

Where,
Charge, q=5μC=5×106C
Side of the hexagon,
1 = AB = BC = CD = DE = EF = FA = 10 cm
Distance of each vertex from centre O, d =10 cm
Electric potential at point O,
V=14πε06×qd
Where,
Where, E = Permitivity of free space and 14πε0=9×109Nm2C2
V=9×109×6×5×1060.1=2.7×106V
Therefore, the potential at the centre of the hexagon is 2.7 x  106 V.