Saturday, 26 December 2015

electromagnetism - Deriving electric field



Can anyone explain where the following expression for the electric field vector comes from? $$ \mathbf E(\mathbf r,t) = -\nabla \phi(\mathbf r,t) - \frac{\partial}{\partial t}\mathbf A(\mathbf r,t) $$


where $\phi$ and $\mathbf A$ are the scalar and vector potentials, respectively.


Presumably it can it be derived from Maxwell's Equations?




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