# Differences between $V_{ab}$, $\Delta V$, $\Delta V_{ab}$, $\Delta V_a$ and $V_a$

$$V$$ is electric potential.

From my understanding of these notations \begin{align} V_{ab}&=V_a-V_b\\ \Delta V&=\Delta V_{ab}=V_b-V_a;\text{consider a\to b}\\ \Delta V_a&=V_a=V_a-V_\infty \end{align} Do I understand these correctly?

• According to convention, potential at infinity is 0. That is reference potential. But you can change reference potential also. Jul 30, 2020 at 12:29
• @SandeshGoli Please only use comments for their intended purpose: to request clarifications or suggest improvements to the post. If what you have to say is neither of those, either make an answer or don't post it. Jul 30, 2020 at 12:52

$$V_{ab}$$ could instead also be $$V_b-V_a$$.
With what you have $$V_{ab}=-\Delta V_{ab}$$, which is odd.
I have never seen $$\Delta V_a$$ before, but usually if one is specifying just a single $$V$$ then they are technically looking at $$V-V_0$$, where $$V_0=0$$ is the potential at the reference point where the potential is $$0$$. This can be at infinity, but it does not have to be (and sometimes it cannot be at infinity).