Answer: at when distance r = infinity.
Explanation: The formulae for the electric potential of an electric charge to an arbitrary point is given by the formulae below
V = q/4πεr
V = electric potential (volts)
q = magnitude of electric charge
ε = permittivity of free space
r = distance between arbitrary point and charge.
In the equation above, it can be seen that only electric potential (v) and distance (r) is a variable, and there is an inverse relationship between them (an increase in one leads to a decrease in the other)
Thus to have zero value of electric potential (v= 0) we have to have the largest value of r ( r = infinity).
Same goes for electric potential energy between two charges, the formulae is given below as
W = q1 *q2/4πεr
W= electric potential energy
q1 = magnitude of first charge.
q2 = magnitude of second charge
ε = permittivity of free space
r = distance between arbitrary point and charge.
Also, all values are constant aside from electric potential energy (w) and distance (r) which have an inverse relationship.
Thus to have zero value of electric potential energy (w =0), we have to get an infinite value of distance ( r =infinity)
