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A hexagon of side 8 cm has a charge 4 mu...

A hexagon of side 8 cm has a charge `4 muC` at each of its vertices. The potential at the centre of the hexagon is

A

`2.7xx10^(6)V`

B

`7.2xx10^(11)V`

C

`2.5xx10^(12)V`

D

`3.4xx10^(4)V`

Text Solution

Verified by Experts

The correct Answer is:
A
As shown in the figure, O is the centre of hexagon ABCDEF of each side 8 cm. As it is a regular hexagon OAB,OBC, etc are equilateral triangles .

`therefore` OA=OB=OC=OD=OE=OF=8 cm = `8xx10^(-2)` m
The potential at O is `V=6xxq/(4piepsilon_0)=(6xx9xx10^9xx4xx10^(-6))/(8xx10^(-2))=2.7xx10^6` V
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