# Electric Field#

The electric field is a vector field surrounding an electric charge that exerts force on other charges.

Property Value
SI Unit $$\si{\volt\per\meter}$$

## Coulomb's law#

From Coulomb's law a particle with electric charge $$q_1$$ at position $$\vec x_1$$ exerts a force on a particle with charge $$q_0$$ at position $$\vec x_0$$ of

$\vec{F}= \frac{1}{4\pi \varepsilon_{0}} \frac{q_{1} q_{0} }{ ( \vec{x}_1 - \vec{x}_0 )^2} \vec{r}_{\text{1,0}}$

where $$\vec{r}_{\text{1,0}}$$ is the unit vector in the direction from point $$\vec{x}_1$$ to point $$\vec{x}_2$$, and $$ε_0$$ is the electric constant.