Template:Physeq2/MaxwellsEqnsIntegral

Maxwell's equations hold for all volumes and closed surfaces. In vacuum, electromagnetic waves travel at the speed, $c=\frac{1}{\sqrt{{ϵ}_0{\mu }_0}}$.

${\oint }_S𝐄\cdot \mathrm{d}𝐀=\frac{1}{{ϵ}_0}\underset{V}{\int }\rho \mathrm{d}V$	${\oint }_C𝐄\cdot \mathrm{d}𝐥=-\underset{S}{\int }\frac{\partial 𝐁}{\partial t}\cdot \mathrm{d}𝐀$
${\oint }_S𝐁\cdot \mathrm{d}𝐀=0$	${\oint }_C𝐁\cdot \mathrm{d}𝐥={\mu }_0\underset{S}{\int }𝐉\cdot \mathrm{d}𝐀+{ϵ}_0{\mu }_0\underset{S}{\int }\frac{\partial 𝐄}{\partial t}\cdot \mathrm{d}𝐀$