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Question -

A regular hexagon of side 10 cm has acharge 5 ┬╡C at each of its vertices. Calculate the potential at the centre ofthe hexagon.



Answer -

The given figure shows six equal amount ofcharges,┬аq, at the vertices of a regular hexagon.

┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а┬а

Where,

Charge,┬аq┬а= 5 ┬╡C = 5 ├Ч 10тИТ6┬аC

Side of the hexagon,┬аl┬а=AB = BC = CD = DE = EF = FA = 10 cm

Distance of each vertex from centreO,┬аd┬а= 10 cm

Electric potential at point O,

Where,

= Permittivity of free space

Therefore, the potential at the centre ofthe hexagon is 2.7 ├Ч 106┬аV.

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