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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{E}^i(\vec{r},t) = \frac{\vec{J}(\vec{r},t)}{\sigma} + \frac {\partial
\vec{A}(\vec{r},t)}{\partial t} + \nabla \phi (\vec{r},t)
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equivalent circuit. The partial inductances are defined as
:<math>
L_{p_{\alpha \beta}} = \frac {\mu}{4 \pi}\frac{1}{a_{\alpha}
a_{\beta}} \int_{v_{\alpha}} \int_{v_{\beta}} \frac {1} {|
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for volume cell <math>\alpha</math> and <math>\beta</math>. Then, the coefficients of potentials are computed as
:<math>
P_{ij} = \frac{1}{S_i S_j} \frac{1}{4 \pi \epsilon_0} \int_{S_i}
\int_{S_j} \frac{1}{|\vec{r}_i - \vec{r}_j|} \; dS_j \; dS_i
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and a resistive term between the nodes, defined as
:<math>
R_\gamma = \frac{l_\gamma}{a_\gamma \sigma_\gamma}.
</math>
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