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Display information for equation id:math.1444.51 on revision:1444
* Page found: Materie in elektrischen und magnetischen Feldern (eq math.1444.51)
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\begin{align}
& {{{\bar{A}}}_{m}}\left( \bar{r},t \right)=\frac{{{\mu }_{0}}}{4\pi }\sum\limits_{i}{{}}\left[ \frac{1}{\left| \bar{r}-{{{\bar{r}}}_{i}} \right|}{{{\dot{\bar{p}}}}_{i}}\left( t-\frac{\left| \bar{r}-{{{\bar{r}}}_{i}} \right|}{c} \right)+\nabla \times \left( \frac{1}{\left| \bar{r}-{{{\bar{r}}}_{i}} \right|}{{{\bar{m}}}_{i}}\left( t-\frac{\left| \bar{r}-{{{\bar{r}}}_{i}} \right|}{c} \right) \right) \right] \\
& {{{\bar{p}}}_{i}}\left( t-\frac{\left| \bar{r}-{{{\bar{r}}}_{i}} \right|}{c} \right)\quad elektrDipolmoment \\
& {{{\bar{m}}}_{i}}\left( t-\frac{\left| \bar{r}-{{{\bar{r}}}_{i}} \right|}{c} \right)\quad magnetDipolmoment \\
& \Rightarrow {{{\bar{A}}}_{m}}\left( \bar{r},t \right)=\frac{{{\mu }_{0}}}{4\pi }\int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\left[ \frac{1}{\left| \bar{r}-\bar{r}\acute{\ } \right|}{{{\dot{\bar{p}}}}_{m}}\left( \bar{r}\acute{\ },t-\frac{\left| \bar{r}-\bar{r}\acute{\ } \right|}{c} \right)+{{\nabla }_{r}}\times \left( \frac{1}{\left| \bar{r}-\bar{r}\acute{\ } \right|}{{{\bar{M}}}_{m}}\left( \bar{r}\acute{\ },t-\frac{\left| \bar{r}-\bar{r}\acute{\ } \right|}{c} \right) \right) \right] \\
\end{align}
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