# Coulomb interaction

Written by Yuhang Jin, AP225 2011 Fall.

## Introduction

Coulomb interaction is the electrostatic interactions between electric charges, and follows the Coulomb's law, which is a basis of classical electrodynamics. In general, Coulomb interaction can manifest itself on various scales from microscopic particles to macroscopic bodies. The microscopic theory of Coulomb interaction has been developed in the frame of quantum field theory.

## Basic formulae

The electrostatic interaction of two point charges $q_1$ and $q_2$ is described by the Coulomb's law:

$\mathbf F=\frac{1}{4\pi\epsilon_0}{\frac{q_1q_2}{r^2}$,

where $\mathbf F$ is the electrostatic force, $r$ denotes the distance between the two charges, and $\epsilon_0$ is the vacuum permittivity.