A regular hexagon of side $10 ext{ cm}$ has a charge $5\mu C$ at each of its vertices. Calculate th

Question

A regular hexagon of side $10	ext{ cm}$ has a charge $5\mu C$ at each of its vertices. Calculate the potential at the centre of the hexagon.

Professor PC Thomas Classes · Answer

Distance from center to each vertex is equal to the side $a = 10	ext{ cm} = 0.1	ext{ m}$. Total potential $V = 6 	imes k \frac{q}{a} = 6 	imes 9 	imes 10^9 	imes \frac{5 	imes 10^{-6}}{0.1} = 2.7 	imes 10^6	ext{ V}$.