Maxwell’s equations are a set of partial differential equations that, together with the electromagnetic force law, summarize all of classical electrodynamics: $$\begin{aligned} (\text{i}) \hspace{1.5em} &\nabla \cdot \textbf{E} = \frac{\rho}{\epsilon_0}, \\[10pt] (\text{ii}) \hspace{1.5em} &\nabla \cdot \textbf{B} = 0, \\[10pt] (\text{iii}) \hspace{1.5em} &\nabla \times \textbf{E} = - \frac{\delta \textbf{B}}{\delta t}, \\[10pt] (\text{iv}) \hspace{1.5em} &\nabla \times \textbf{B} = \mu_0 \textbf{j} \, \frac{1}{c^2} \frac{\partial \textbf{E}}{\partial t}. \end{aligned} \tag{1}$$