Maxwell-Faraday Equation

The differential form of this particular one of Maxwell’s Equations. $\nabla \times E=-\frac{\partial B}{\partial t}$ $\mathcal{E}=\oint \vec{E}\cdot d\vec{l}=-\frac{d{\Phi }_B}{dt}=-\frac{d}{dt}\iint \vec{B}\cdot d\vec{S}=-\iint \frac{\partial B}{\partial t}\cdot d\vec{S}$

Also: Faraday’s Law.