% miko:type: atomic
% miko:title: Gauss's Law
% miko:summary: Electric flux through a closed surface measures the enclosed charge.
% miko:tags: em
% miko:difficulty: undergrad
% miko:related: maxwell-equations, electric-flux, complete-electromagnetism
% miko:keywords: electric field, divergence, charge

\documentclass{article}
\usepackage{amsmath}
\title{Gauss's Law}
\begin{document}
\maketitle

\section{Integral Form}

$$
\oint_{\partial V} \mathbf E\cdot d\mathbf A = \frac{Q_{\rm enc}}{\varepsilon_0}.
$$

\section{Differential Form}

Using the divergence theorem,

$$
\nabla\cdot\mathbf E = \frac{\rho}{\varepsilon_0}.
$$

This is one of Maxwell's equations.

\end{document}
