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Display information for equation id:math.2119.0 on revision:2119

* Page found: Impulsbilanz (eq math.2119.0)

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Impulsbilanz Eq: math.2119.0

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TeX (original user input):

\begin{align}
& \frac{\partial }{\partial t}\left( \bar{D}\times \bar{B} \right)=\dot{\bar{D}}\times \bar{B}+\bar{D}\times \dot{\bar{B}} \\
& \dot{\bar{D}}=\nabla \times \bar{H}-\bar{j} \\
& \dot{\bar{B}}=-\nabla \times \bar{E} \\
& \Rightarrow \frac{\partial }{\partial t}\left( \bar{D}\times \bar{B} \right)=-\frac{1}{{{\mu }_{0}}}\bar{B}\times \left( \nabla \times \bar{B} \right)-\bar{j}\times \bar{B}-{{\varepsilon }_{o}}\bar{E}\times \left( \nabla \times \bar{E} \right) \\
\end{align}

TeX (checked):

{\begin{aligned}&{\frac {\partial }{\partial t}}\left({\bar {D}}\times {\bar {B}}\right)={\dot {\bar {D}}}\times {\bar {B}}+{\bar {D}}\times {\dot {\bar {B}}}\\&{\dot {\bar {D}}}=\nabla \times {\bar {H}}-{\bar {j}}\\&{\dot {\bar {B}}}=-\nabla \times {\bar {E}}\\&\Rightarrow {\frac {\partial }{\partial t}}\left({\bar {D}}\times {\bar {B}}\right)=-{\frac {1}{{\mu }_{0}}}{\bar {B}}\times \left(\nabla \times {\bar {B}}\right)-{\bar {j}}\times {\bar {B}}-{{\varepsilon }_{o}}{\bar {E}}\times \left(\nabla \times {\bar {E}}\right)\\\end{aligned}}

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\begin{aligned} \frac{\partial}{\partial t} (\bar{D} \times \bar{B}) = \dot{\bar{D}} \times \bar{B} + \bar{D} \times \dot{\bar{B}} \\ \dot{\bar{D}} = \nabla \times \bar{H} - \bar{j} \\ \dot{\bar{B}} = - \nabla \times \bar{E} \\ \Rightarrow \frac{\partial}{\partial t} (\bar{D} \times \bar{B}) = - \frac{1}{μ_{0}} \bar{B} \times (\nabla \times \bar{B}) - \bar{j} \times \bar{B} - ε_{o} \bar{E} \times (\nabla \times \bar{E}) \end{aligned}

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Identifiers

$t$

$\bar{D}$

$\bar{B}$

$\dot{\bar{D}}$

$\bar{B}$

$\bar{D}$

$\dot{\bar{B}}$

$\dot{\bar{D}}$

$\bar{H}$

$\bar{j}$

$\dot{\bar{B}}$

$\bar{E}$

$t$

$\bar{D}$

$\bar{B}$

$μ_{0}$

$\bar{B}$

$\bar{B}$

$\bar{j}$

$\bar{B}$

$ε_{o}$

$\bar{E}$

$\bar{E}$

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