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Display information for equation id:math.2079.43 on revision:2079

* Page found: Elektrische Multipolentwicklung (eq math.2079.43)

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{{\Phi }^{(2)}}(\bar{r})=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{1}{2{{r}^{5}}}{{Q}_{kl}}{{x}_{k}}{{x}_{l}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{\bar{r}\cdot \bar{\bar{Q}}\cdot \bar{r}}{2{{r}^{5}}}\tilde{\ }\frac{1}{{{r}^{3}}}

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Φ ( 2 ) ⁢ ( r ¯ ) = 1 4 ⁢ π ⁢ ε 0 ⁢ 1 2 ⁢ r 5 ⁢ Q k ⁢ l ⁢ x k ⁢ x l = 1 4 ⁢ π ⁢ ε 0 ⁢ r ¯ ⋅ Q ¯ ¯ ⋅ r ¯ 2 ⁢ r 5 ⁢ ~ ⁢ 1 r 3 superscript Φ 2 ¯ 𝑟 1 4 𝜋 subscript 𝜀 0 1 2 superscript 𝑟 5 subscript 𝑄 𝑘 𝑙 subscript 𝑥 𝑘 subscript 𝑥 𝑙 1 4 𝜋 subscript 𝜀 0 ⋅ ¯ 𝑟 ¯ ¯ 𝑄 ¯ 𝑟 2 superscript 𝑟 5 ~ absent 1 superscript 𝑟 3 {\displaystyle{\displaystyle{{\Phi}^{(2)}}(\bar{r})=\frac{1}{4\pi{{\varepsilon% }_{0}}}\frac{1}{2{{r}^{5}}}{{Q}_{kl}}{{x}_{k}}{{x}_{l}}=\frac{1}{4\pi{{% \varepsilon}_{0}}}\frac{\bar{r}\cdot\bar{\bar{Q}}\cdot\bar{r}}{2{{r}^{5}}}% \tilde{\ }\frac{1}{{{r}^{3}}}}}

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Φ(2)(r¯)=14πε012r5Qklxkxl=14πε0r¯⋅Q¯¯⋅r¯2r5~1r3

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