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Display information for equation id:math.1438.174 on revision:1438

* Page found: Elektromagnetische Wellen (eq math.1438.174)

Occurrences on the following pages:

Multipolstrahlung Eq: math.2133.37

Hash: 6ce28b2998293e60f094d37ae33c638d

TeX (original user input):

\begin{align}
& \bar{S}=\bar{E}\times \bar{H}=\frac{-1}{{{\mu }_{0}}}\bar{B}\times \bar{E}=\frac{-c}{{{\mu }_{0}}r}\bar{B}\times \left( \bar{B}\times \bar{r} \right)=\frac{-c}{{{\mu }_{0}}r}\left[ \left( \bar{B}\cdot \bar{r} \right)\bar{B}-{{B}^{2}}\bar{r} \right] \\
& \left( \bar{B}\cdot \bar{r} \right)=0 \\
& \Rightarrow \bar{S}=\frac{c}{{{\mu }_{0}}r}{{B}^{2}}\bar{r} \\
\end{align}

TeX (checked):

{\begin{aligned}&{\bar {S}}={\bar {E}}\times {\bar {H}}={\frac {-1}{{\mu }_{0}}}{\bar {B}}\times {\bar {E}}={\frac {-c}{{{\mu }_{0}}r}}{\bar {B}}\times \left({\bar {B}}\times {\bar {r}}\right)={\frac {-c}{{{\mu }_{0}}r}}\left[\left({\bar {B}}\cdot {\bar {r}}\right){\bar {B}}-{{B}^{2}}{\bar {r}}\right]\\&\left({\bar {B}}\cdot {\bar {r}}\right)=0\\&\Rightarrow {\bar {S}}={\frac {c}{{{\mu }_{0}}r}}{{B}^{2}}{\bar {r}}\\\end{aligned}}

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MathML (4.125 KB / 477 B) :

\begin{aligned} \bar{S} = \bar{E} \times \bar{H} = \frac{- 1}{μ_{0}} \bar{B} \times \bar{E} = \frac{- c}{μ_{0} r} \bar{B} \times (\bar{B} \times \bar{r}) = \frac{- c}{μ_{0} r} [(\bar{B} \cdot \bar{r}) \bar{B} - B^{2} \bar{r}] \\ (\bar{B} \cdot \bar{r}) = 0 \\ \Rightarrow \bar{S} = \frac{c}{μ_{0} r} B^{2} \bar{r} \end{aligned}

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Identifiers

$\bar{S}$

$\bar{E}$

$\bar{H}$

$μ_{0}$

$\bar{B}$

$\bar{E}$

$c$

$μ_{0}$

$r$

$\bar{B}$

$\bar{B}$

$\bar{r}$

$c$

$μ_{0}$

$r$

$\bar{B}$

$\bar{r}$

$\bar{B}$

$B$

$\bar{r}$

$\bar{B}$

$\bar{r}$

$\bar{S}$

$c$

$μ_{0}$

$r$

$B$

$\bar{r}$

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