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An electric field is a vector field surrounding an electric charge that other electric charges would experience, due to the force exerted by the electric field at their location. If the net electric force experienced by a test charge (due to the individual forces caused by the distribution of charges) at a point is zero, the electric field at that point is zero. In the case of a uniformly charged ring, each small charge element generates an electric field which points radially outwards (if positive) and the net field at the center is the vector sum of all these small fields. Because the ring is symmetrical and uniformly charged, these small field vectors cancel each other out, making the net electric field at the center of the ring zero.

Electric potential is scalar quantity and is the work done per unit charge by an external agent (like a battery or a generator) in moving a positive point charge from infinity to a specific point in an electric field, without any acceleration. The potential at a point in an electric field is the sum of the potentials due to individual charges. In the case of the uniformly charged ring, each small charge element generates an electric potential at the center which is scalar and only depends on the distance between the charge element and the center, and not on the direction of the resultant field. Since the distance is the same for all charge elements, all these potentials add up (instead of canceling out) contributing to a non-zero net electric potential at the center, despite the electric field being zero.

While both the electric field and electric potential are properties of the distribution of electric charges, they are different in nature and function. Electric field is a vector quantity and it shows the force a charge would experience at a point in space, and can cancel out due to opposite vectors. However, electric potential is a scalar quantity and only depends on the distance to the charge, not on the direction of the field. Thus, it's possible for the electric potential to be non-zero at a point even if the electric field is zero.