> [!summary]
A volt is the unit of the electric potential difference between two points.
>
Dimensional Analysis:
$[V] = [ML^2IT^{-3}]$
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# Definition
A volt is a unit of the electric potential difference between two points. Mathematically, it's described as 1 [[Joule|joule]] per [[Coulomb|coulomb]].
$ \begin{array}{c}
\text{1 volt} = \frac{\text{1 joule}}{\text{1 coulomb}} \\
\text{V} = \frac{\text{J}}{C}
\end{array}
$
# Dimensional Analysis
> [!warning] Assumptions
Assume the standard quantity units for [[Dimensional Analysis|dimensional analysis]] and units for a [[Joule|joule]] & [[Coulomb|coulomb]]
$
\begin{align*}
[V] &= \frac{[J]}{[C]} \\
&= \frac{[ML^2T^{-2}]}{[IT]} \\
&= [ML^2IT^{-3}]
\end{align*}
$