Physics equations/Maxwell's equations

under construction

Maxwell's equations integral form

${\oint }_S\overrightarrow{E}\cdot \mathrm{d}\overrightarrow{A}=\frac{1}{{ϵ}_0}{Q}_{enc}$

${\oint }_S\overrightarrow{B}\cdot \mathrm{d}\overrightarrow{A}=0$

${\oint }_C\overrightarrow{E}\cdot \mathrm{d}\overrightarrow{\ell }=-\underset{S}{\int }\frac{\partial \overrightarrow{B}}{\partial t}\cdot \mathrm{d}\overrightarrow{A}$

${\oint }_C\overrightarrow{B}\cdot \mathrm{d}\overrightarrow{\ell }=\mu \underset{S}{\int }\overrightarrow{J}\cdot \mathrm{d}\overrightarrow{A}+\frac{1}{c^2}\underset{S}{\int }\frac{\partial \overrightarrow{D}}{\partial t}\cdot \mathrm{d}\overrightarrow{A}$