The square is a useful visual way of describing the relationship between the electric force, field, potential energy, and potential.
\[\begin{equation} \begin{CD} \vec{F} @>\div q >> \vec{E} \\ @AA-\vec\nabla{}A @VV -\int{\cdot\mathrm{d}\vec{r}} V \\ U @<\times q<< V \end{CD} \tag{1.1} \end{equation}\]
Force | Field | Potential | Potential Energy | |
---|---|---|---|---|
Object Type | Vector |
Vector |
Scalar |
Scalar |
SI Units | Newtons | Newton / Coulomb | Volt | Joule / Coulomb |
Represents | Pull between two charged particles | The possibility of a force created by some charge | The possibility of energy created by some charge | The energy required to set up a system of charges |