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Display information for equation id:math.1443.24 on revision:1443

* Page found: Materie in elektrischen und magnetischen Feldern (eq math.1443.24)

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\begin{align}
& \Rightarrow \Phi \left( \bar{r},t \right)=\frac{1}{4\pi {{\varepsilon }_{0}}}\int_{{{R}^{3}}}^{{}}{{}}{{d}^{3}}r\acute{\ }\acute{\ }\frac{1}{\left| \bar{r}-\bar{r}\acute{\ }\acute{\ } \right|}\frac{1}{\Delta V}\int_{\Delta V}^{{}}{{}}{{d}^{3}}s{{\rho }_{m}}\left( \bar{r}\acute{\ }\acute{\ }+\bar{s},t-\frac{\left| \bar{r}-\bar{r}\acute{\ }\acute{\ } \right|}{c} \right) \\
& =\frac{1}{4\pi {{\varepsilon }_{0}}}\int_{{{R}^{3}}}^{{}}{{}}{{d}^{3}}r\acute{\ }\acute{\ }\frac{1}{\left| \bar{r}-\bar{r}\acute{\ }\acute{\ } \right|}\rho \left( \bar{r}\acute{\ }\acute{\ }+\bar{s},t-\frac{\left| \bar{r}-\bar{r}\acute{\ }\acute{\ } \right|}{c} \right) \\
\end{align}

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Φ(r¯,t)=14πε0R3d3r´´1|r¯r¯´´|1ΔVΔVd3sρm(r¯´´+s¯,t|r¯r¯´´|c)=14πε0R3d3r´´1|r¯r¯´´|ρ(r¯´´+s¯,t|r¯r¯´´|c)
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