Actually, Electric Potential is the work done against the electric field to move a charge in it. So, it actually depends upon the Electric Field at the position and not the charge (test charge).
The electric potential at a point r in a static electric field E is given by the line integral
U can also realize this by knowing that the expression we derive for the potential at a "r" distance from the charge is independent of the charge moved.
In classical electromagnetism, the electric potential (denoted by φ, φE or V; also called the electrostatic potential) at a point in space is the electric potential energy divided by charge associated with a static (time-invariant) electric field. Typically measured in volts, the electric potential is a scalar quantity equivalent to a joule per coulomb.
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