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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.