under construction

Maxwell's equations integral form

${\displaystyle \oint _{S}{\vec {E}}\cdot \mathrm {d} {\vec {A}}={\frac {1}{\epsilon _{0}}}Q_{enc}}$

${\displaystyle \oint _{S}{\vec {B}}\cdot \mathrm {d} {\vec {A}}=0}$

${\displaystyle \oint _{C}{\vec {E}}\cdot \mathrm {d} {\vec {\ell }}=-\int _{S}{\frac {\partial {\vec {B}}}{\partial t}}\cdot \mathrm {d} {\vec {A}}}$

${\displaystyle \oint _{C}{\vec {B}}\cdot \mathrm {d} {\vec {\ell }}=\mu \int _{S}{\vec {J}}\cdot \mathrm {d} {\vec {A}}+{\frac {1}{c^{2}}}\int _{S}{\frac {\partial {\vec {D}}}{\partial t}}\cdot \mathrm {d} {\vec {A}}}$