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Display information for equation id:math.1444.26 on revision:1444

* Page found: Materie in elektrischen und magnetischen Feldern (eq math.1444.26)

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TeX (original user input): 

{{\Phi }_{m}}\left( \bar{r},t \right)=-\frac{1}{4\pi {{\varepsilon }_{0}}}{{\nabla }_{r}}\left\{ \sum\limits_{i}{{}}\frac{1}{\left| \bar{r}-{{{\bar{r}}}_{i}} \right|}{{{\bar{p}}}_{i}}\left( t-\frac{\left| \bar{r}-{{{\bar{r}}}_{i}} \right|}{c} \right) \right\}

TeX (checked): 

{{\Phi }_{m}}\left({\bar {r}},t\right)=-{\frac {1}{4\pi {{\varepsilon }_{0}}}}{{\nabla }_{r}}\left\{\sum \limits _{i}{}{\frac {1}{\left|{\bar {r}}-{{\bar {r}}_{i}}\right|}}{{\bar {p}}_{i}}\left(t-{\frac {\left|{\bar {r}}-{{\bar {r}}_{i}}\right|}{c}}\right)\right\}

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MathML (16.561 KB / 2.351 KB) :

Φ m ⁢ ( r ¯ , t ) = - 1 4 ⁢ π ⁢ ε 0 ⁢ ∇ r ⁡ { ∑ i 1 | r ¯ - r ¯ i | ⁢ p ¯ i ⁢ ( t - | r ¯ - r ¯ i | c ) } subscript Φ 𝑚 ¯ 𝑟 𝑡 1 4 𝜋 subscript 𝜀 0 subscript ∇ 𝑟 subscript 𝑖 1 ¯ 𝑟 subscript ¯ 𝑟 𝑖 subscript ¯ 𝑝 𝑖 𝑡 ¯ 𝑟 subscript ¯ 𝑟 𝑖 𝑐 {\displaystyle{\displaystyle{{\Phi}_{m}}\left(\bar{r},t\right)=-\frac{1}{4\pi{% {\varepsilon}_{0}}}{{\nabla}_{r}}\left\{\sum\limits_{i}{{}}\frac{1}{\left|\bar% {r}-{{{\bar{r}}}_{i}}\right|}{{{\bar{p}}}_{i}}\left(t-\frac{\left|\bar{r}-{{{% \bar{r}}}_{i}}\right|}{c}\right)\right\}}}

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MathML (2.464 KB / 444 B) :

Φm(r¯,t)=−14πε0∇r{∑i1|r¯−r¯i|p¯i(t−|r¯−r¯i|c)}

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Calculated based on the variables occurring on the entire Materie in elektrischen und magnetischen Feldern page

Identifiers

  • Φm
  • r¯
  • t
  • π
  • ε0
  • r
  • i
  • r¯
  • r¯i
  • p¯i
  • t
  • r¯
  • r¯i
  • c

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“