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Display information for equation id:math.2072.30 on revision:2072
* Page found: Elektrisches Feld und Potenziale (eq math.2072.30)
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Hash: 74ccc3c904fce95468b7923ba1c3ba92
TeX (original user input):
\begin{align}
& \Rightarrow \int_{V}^{{}}{{{d}^{3}}r\rho \left( {\bar{r}} \right)}={{\varepsilon }_{0}}\int_{V}^{{}}{{{d}^{3}}r\nabla \cdot }\bar{E}\left( {\bar{r}} \right) \\
& \Rightarrow {{\varepsilon }_{0}}\nabla \cdot \bar{E}\left( {\bar{r}} \right)=\rho \left( {\bar{r}} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&\Rightarrow \int _{V}^{}{{{d}^{3}}r\rho \left({\bar {r}}\right)}={{\varepsilon }_{0}}\int _{V}^{}{{{d}^{3}}r\nabla \cdot }{\bar {E}}\left({\bar {r}}\right)\\&\Rightarrow {{\varepsilon }_{0}}\nabla \cdot {\bar {E}}\left({\bar {r}}\right)=\rho \left({\bar {r}}\right)\\\end{aligned}}
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<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mi>ρ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mo stretchy="false">=</mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo></mrow><mover><mi>E</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mover><mi>E</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>ρ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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