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Display information for equation id:math.2094.26 on revision:2094

* Page found: Magnetostatische Feldgleichungen (eq math.2094.26)

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TeX (original user input):

\begin{align}
& \bar{A}\acute{\ }(\bar{r})\to \bar{A}+\nabla \Psi  \\
& \nabla \times \bar{A}\acute{\ }(\bar{r})\to \nabla \times \bar{A}+\nabla \times \nabla \Psi  \\
& \nabla \times \nabla \Psi =0\Rightarrow \nabla \times \bar{A}\acute{\ }(\bar{r})\to \nabla \times \bar{A} \\
& \Rightarrow \nabla \times \left( \nabla \times \bar{A}\acute{\ }(\bar{r}) \right)=\nabla \times \bar{B}(\bar{r})={{\mu }_{0}}\bar{j} \\
& \nabla \times \left( \nabla \times \bar{A}\acute{\ }(\bar{r}) \right)=\nabla \left( \nabla \cdot \bar{A}\acute{\ }(\bar{r}) \right)-\Delta \bar{A}\acute{\ }(\bar{r}) \\
\end{align}

TeX (checked):

{\begin{aligned}&{\bar {A}}{\acute {\ }}({\bar {r}})\to {\bar {A}}+\nabla \Psi \\&\nabla \times {\bar {A}}{\acute {\ }}({\bar {r}})\to \nabla \times {\bar {A}}+\nabla \times \nabla \Psi \\&\nabla \times \nabla \Psi =0\Rightarrow \nabla \times {\bar {A}}{\acute {\ }}({\bar {r}})\to \nabla \times {\bar {A}}\\&\Rightarrow \nabla \times \left(\nabla \times {\bar {A}}{\acute {\ }}({\bar {r}})\right)=\nabla \times {\bar {B}}({\bar {r}})={{\mu }_{0}}{\bar {j}}\\&\nabla \times \left(\nabla \times {\bar {A}}{\acute {\ }}({\bar {r}})\right)=\nabla \left(\nabla \cdot {\bar {A}}{\acute {\ }}({\bar {r}})\right)-\Delta {\bar {A}}{\acute {\ }}({\bar {r}})\\\end{aligned}}

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A¯ ´(r¯)A¯+Ψ×A¯ ´(r¯)×A¯+×Ψ×Ψ=0×A¯ ´(r¯)×A¯×(×A¯ ´(r¯))=×B¯(r¯)=μ0j¯×(×A¯ ´(r¯))=(A¯ ´(r¯))ΔA¯ ´(r¯)
<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"><mover><mi>A</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false" accent="false"></mo><mover><mi>A</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mi mathvariant="normal"></mi><mi>Ψ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mover><mi>A</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false" accent="false"></mo><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mover><mi>A</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mi mathvariant="normal"></mi><mi>Ψ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mi mathvariant="normal"></mi><mi>Ψ</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false"></mo><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mover><mi>A</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false" accent="false"></mo><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mover><mi>A</mi><mo>¯</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mover><mi>A</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mover><mi>B</mi><mo>¯</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mover><mi>j</mi><mo>¯</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal"></mi><mo stretchy="false">×</mo><mover><mi>A</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi mathvariant="normal"></mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal"></mi><mo stretchy="false"></mo><mover><mi>A</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false"></mo><mi>Δ</mi><mover><mi>A</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Magnetostatische Feldgleichungen page

Identifiers

  • A¯
  •  ´
  • r¯
  • A¯
  • Ψ
  • A¯
  •  ´
  • r¯
  • A¯
  • Ψ
  • Ψ
  • A¯
  •  ´
  • r¯
  • A¯
  • A¯
  •  ´
  • r¯
  • B¯
  • r¯
  • μ0
  • j¯
  • A¯
  •  ´
  • r¯
  • A¯
  •  ´
  • r¯
  • Δ
  • A¯
  •  ´
  • r¯

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