Linear superposition principle applied to electric potential

[AxiomOfChoice]

If I'm going to apply the superposition principle and say something like V = V_1 + V_2, I need to make sure that my V_1 and V_2 are established with a common zero point for the potential, right? So, for example, one of them can't have been determined taking the zero point of the potential to be at infinity and the other determined taking it to be a x = 2.

 

[Born2bwire]

Yeah, correct.

 

[kcdodd]

I don't think it matters. You can add a constant voltage and not change anything, which is non zero everywhere. Therefore if you had V1 and V2, and V1 - V2 = C at the same point, then you could have V = V1 + V2 - C, but it changes nothing.