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The classical PEEC method is derived from the equation for the total electric field at a point<ref>S. Ramo, J. R. Whinnery and T. Van Duzer: Fields and Waves in Communication Electronics, John Wiley and Sons, 1972</ref> written as
<math>
\vec{A}(\vec{r},t)}{\partial t} + \nabla \phi (\vec{r},t)
</math>
where $\vec{E}^i$ is an incident electric field, $\vec{J}$ is a
current density, $\vec{A}$ is the magnetic vector potential, $\phi$
is the scalar electric potential, and $\sigma$ the electrical
conductivity all at observation point $\vec{r}$.
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