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latex/appendix/appendix_a.tex

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+\documentclass[../main.tex]{subfiles}
+\graphicspath{{\subfix{../images/}}}
+
+\begin{document}
+
+\section{Equations of electrodynamics and classical mechanics}\label{sec:appendix_a}
+Newton's second law
+\begin{equation}\label{eq:newton_second}
+    m \ddot{\mathbf{r}} = \sum_{i} \mathbf{F}_{i}
+\end{equation}%
+%
+Lorentz force
+\begin{equation}\label{eq:lorentz_force}
+    \mathbf{F} = q \mathbf{E} + q \mathbf{v} \times \mathbf{B},
+\end{equation}%
+%
+Electric field
+\begin{equation}\label{eq:e_field_potential}
+    \mathbf{E} = - \nabla V
+\end{equation} %
+%
+Electric field at a point $\mathbf{r}$
+\begin{equation}\label{eq:e_field_point}
+    \mathbf{E} = k_{e} \sum_{j=1}^{n} q_j \frac{\mathbf{r} - \mathbf{r}_{j}}{|\mathbf{r} - \mathbf{r}_{j}|^{3}}
+\end{equation}
+
+
+
+\end{document}