Physics
Physics
Problem
Six identical point charges are fixed at the six vertices of a regular hexagon of side . Another identical charge is placed at the centre of the hexagon. Will the central charge experience any net electrostatic force? Give a brief reason.Intuitive explanation
The key insight is symmetry: in a regular hexagon, the six vertices are arranged perfectly around the center, each equidistant and evenly spaced at intervals. Every force vector from a vertex charge to the center has an equal and opposite partner directly across the hexagon. Since all charges are identical and repulsive, these paired forces cancel exactly, leaving zero net force on the central charge—regardless of the hexagon's size.
Intuitive explanation
The key insight is symmetry: in a regular hexagon, the six vertices are arranged perfectly around the center, each equidistant and evenly spaced at intervals. Every force vector from a vertex charge to the center has an equal and opposite partner directly across the hexagon. Since all charges are identical and repulsive, these paired forces cancel exactly, leaving zero net force on the central charge—regardless of the hexagon's size.