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Display information for equation id:math.2130.38 on revision:2130
* Page found: Multipolstrahlung (eq math.2130.38)
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Hash: 48231f7feef5d415cbf477f6f1198d48
TeX (original user input):
\bar{B}\left( \bar{r},t \right)=\nabla \times \bar{A}\left( \bar{r},t \right)\approx \frac{{{\mu }_{\acute{\ }0}}}{4\pi }\nabla \times \frac{1}{r}\dot{\bar{p}}\left( t-\frac{r}{c} \right)=\frac{{{\mu }_{\acute{\ }0}}}{4\pi c}\frac{1}{{{r}^{2}}}\left[ \ddot{\bar{p}}\left( t-\frac{r}{c} \right)\times \bar{r} \right]+O\left( \frac{1}{{{r}^{2}}} \right)
TeX (checked):
{\bar {B}}\left({\bar {r}},t\right)=\nabla \times {\bar {A}}\left({\bar {r}},t\right)\approx {\frac {{\mu }_{{\acute {\ }}0}}{4\pi }}\nabla \times {\frac {1}{r}}{\dot {\bar {p}}}\left(t-{\frac {r}{c}}\right)={\frac {{\mu }_{{\acute {\ }}0}}{4\pi c}}{\frac {1}{{r}^{2}}}\left[{\ddot {\bar {p}}}\left(t-{\frac {r}{c}}\right)\times {\bar {r}}\right]+O\left({\frac {1}{{r}^{2}}}\right)
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MathML (3.069 KB / 504 B) :
<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"><mover><mi>B</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">×</mo><mover><mi>A</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">≈</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mn>0</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi></mrow></mrow></mfrac></mrow><mi mathvariant="normal">∇</mi><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><mover><mover><mi>p</mi><mo>¯</mo></mover><mo>˙</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mn>0</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><mi>c</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mover><mover><mi>p</mi><mo>¯</mo></mover><mo>¨</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">×</mo><mover><mi>r</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">+</mo><mi>O</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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