Question

In a system with two charges, why is it that a point with an Electric Field of zero doesn't have an electric potential of Zero?

Answer 1

One example of a point where electric field equals zero is the point in the middle of two positive charges or two negative charges. Electric potential is sign dependent and for two charges of the same type, the electric potential will simply add up and the electric potential will not be zero. However for electric potential to be zero, you will need a positive and a negative electric potential of the same magnitude to sum up to equal to zero. Hope this helps :)

Answer 2

However for electric potential to be zero, you will need a positive and a negative electric potential of the same magnitude to sum up to equal to zero. When this happens, the electric field at that point is not going to be zero. An example would be the point in the middle of two equal but opposite charges.