Final answer:
The ratio v2/v1 of electric potentials is a comparison of electric potential energy per unit charge between two distinct points. Without specific context, we cannot derive an exact ratio, but generally in physics, the ratio could be related to the positions in a uniform electric field using the formula E = V/d.
Step-by-step explanation:
To find the ratio of the electric potentials v2/v1, one must consider the context in which these potentials are being compared. Typically, in a physics context, electric potential (V) is the electric potential energy per unit charge at a point in space, and the ratio of two potentials would reflect the relative electric potential energies at two distinct points.
If we assume V1 and V2 represent the electric potentials at two different points, then the ratio v2/v1 is simply a division of the potential at point 2 by the potential at point 1. However, without the specific values or further context, we can't calculate an exact numeric ratio. In physics coursework, often problems involve formulas such as V = Ed, where E represents the electric field and d represents the separation distance between points or plates.
For example, in a uniform electric field produced by two parallel plates with a voltage V applied across them, the ratio of potentials would depend on the position between the plates where each potential is measured. Using the relationship E = V/d, one could find the electric field strength E and then relate it to the potentials at different positions.