# How to calculate electrostatic potential at a point w.r.t an ensemble of point charges?

Given an ensemble of charges, how to derive the electrostatic potential at any point due to the ensemble?

For example, consider six point charges, each approaching the origin along the three co-ordinate axes. What would be potential say $$V(a_o)$$ if they are all at some distance $$a_o$$ from the origin?Similarly, what be the potential at the center of the cube when there are eight-point charges at each of its vertices?

How do you approach such problems in electrostatics?

• compute each one and add – Wolphram jonny Feb 20 at 16:26