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The following is the source code for post >>>/ee/4

Gauss's law

,,\qquad \oiint_{\partial\Omega}\textbf{E}\cdot\textrm{d}\textbf{S} = \frac{1}{\varepsilon_0}\iiint_\Omega\rho\,\mathrm{d}V

Gauss's law for magnetism
,,\qquad \oiint_{\partial\Omega}\textbf{B}\cdot\textrm{d}\textbf{S} = 0

Faraday's law

,,\qquad \oint_{\partial\Sigma}\textbf{E}\cdot\textrm{d}\ell = -\frac{\textrm{d}}{\textrm{d}t}\iint_\Sigma\textbf{B}\cdot\textrm{d}\textbf{S}

Ampere's law

,,\qquad \oint_{\partial\Sigma}\textbf{B}\cdot\textrm{d}\ell = \mu_0\left(\iint_\Sigma\textbf{J}\cdot\textrm{d}\textbf{S} + \varepsilon_0\frac{\textrm{d}}{\textrm{d}t}\iint_\Sigma\textbf{E}\cdot\textrm{d}\textbf{S}\right)