3.2 The Square

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