Consider a regular hexagon of side length, L=10cm. A charge, Q=2uc, is located at each vertex(there are 6).
a) find the electostatic potential at the center of the hexagon
b) find the electric field vector at the center
c) find the electric field at the center if there is no charge at one of the vertices.
d) is there a contradiction between your answers to (a) and (b)? if not, then explain why.