If we have a uniformly charged ring, then at the center of that ring the electric field is zero because each half cancels with the other. However, the electric potential at the center is twice that of one half. Why is that?
My understanding of electric potential is that it is a measurement of how much a charge want to go along the field lines. And since there are no field lines, I'd expected the potential to be zero, since the sum of forces acting on it is zero.
What's even more confusing, is that the potential at the center of a ring with half of it having a positive charge, and the other having a negative charge, is zero, even though the sum of the forces, and thus the electric field, nonzero.