PX157 - Dx2 - maxwell's equations

ϕ_{E} =\subset \supset \iint \vec{E} \cdot d \vec{S} = Q_{e n c l .} / ϵ_{0}

\subset \supset \iint \vec{B} \cdot d \vec{S} = 0

\oint_{C} \vec{E} \cdot d \vec{l} = - \frac{d ϕ_{B}}{d t} = - \frac{d}{d t} \iint_{S} \vec{B} \cdot d \vec{S}

\begin{aligned} \oint \vec{B} \cdot d \vec{l} & = μ_{0} I + μ_{0} ϵ_{0} \frac{d ϕ_{E}}{d t} \\ = μ_{0} \iint_{S} \vec{J} \cdot d \vec{S} + μ_{0} ϵ_{0} \frac{d}{d t} \iint_{S} \vec{E} \cdot d \vec{S} \end{aligned}