Question

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

(a) 2.7 x 10⁶ V

(b) 7.2 x 10¹¹ V

(c) 2.5 x 10¹² V

(d) 3.4 x 10⁴ V

Answer 1

Correct option (a) 2.7 x 10⁶ V

Explanation:

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.

:. OA = OB = OC = OD = OE = OF = 8 cm

= 8 x 10^-2 m

The potential at O is