Six charge equal to Q are placed at the corners of regular hexagon of each side x,what is the electric potential at the intersection of the diagonals?

1 answer

Electric potential is a scalar, not a vector. The potential at the middle due to one charge is kq/r, and due to six charges, then 6kq/r
The solution then is to find the distance r to the center. Because all the corners are the same distance, consider a circle..

interior angle=360/6=60deg
two sides r, third side x, other two angles 60 deg also, so all sides are x.

potential=6kQ/x