under construction
∮ S E → ⋅ d A → = 1 ϵ 0 Q e n c {\displaystyle \oint _{S}{\vec {E}}\cdot \mathrm {d} {\vec {A}}={\frac {1}{\epsilon _{0}}}Q_{enc}}
∮ S B → ⋅ d A → = 0 {\displaystyle \oint _{S}{\vec {B}}\cdot \mathrm {d} {\vec {A}}=0}
∮ C E → ⋅ d ℓ → = − ∫ S ∂ B → ∂ t ⋅ d A → {\displaystyle \oint _{C}{\vec {E}}\cdot \mathrm {d} {\vec {\ell }}=-\int _{S}{\frac {\partial {\vec {B}}}{\partial t}}\cdot \mathrm {d} {\vec {A}}}
∮ C B → ⋅ d ℓ → = μ ∫ S J → ⋅ d A → + 1 c 2 ∫ S ∂ D → ∂ t ⋅ d A → {\displaystyle \oint _{C}{\vec {B}}\cdot \mathrm {d} {\vec {\ell }}=\mu \int _{S}{\vec {J}}\cdot \mathrm {d} {\vec {A}}+{\frac {1}{c^{2}}}\int _{S}{\frac {\partial {\vec {D}}}{\partial t}}\cdot \mathrm {d} {\vec {A}}}
