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Display information for equation id:math.1443.21 on revision:1443

* Page found: Materie in elektrischen und magnetischen Feldern (eq math.1443.21)

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Hash: 675c5facd76450e23b77f1923c8aaaad

TeX (original user input):

{{\Phi }_{m}}\left( \bar{r},t \right)=\frac{1}{4\pi {{\varepsilon }_{0}}}\int_{{{R}^{3}}}^{{}}{{}}{{d}^{3}}r\acute{\ }\frac{{{\rho }_{m}}\left( \bar{r}\acute{\ },t-\frac{\left| \bar{r}-\bar{r}\acute{\ } \right|}{c} \right)}{\left| \bar{r}-\bar{r}\acute{\ } \right|}

TeX (checked):

{{\Phi }_{m}}\left({\bar {r}},t\right)={\frac {1}{4\pi {{\varepsilon }_{0}}}}\int _{{R}^{3}}^{}{}{{d}^{3}}r{\acute {\ }}{\frac {{{\rho }_{m}}\left({\bar {r}}{\acute {\ }},t-{\frac {\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}{c}}\right)}{\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}

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Φm(r¯,t)=14πε0R3d3r ´ρm(r¯ ´,t|r¯r¯ ´|c)|r¯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"><msub><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><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"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Materie in elektrischen und magnetischen Feldern page

Identifiers

  • Φm
  • r¯
  • t
  • π
  • ε0
  • R
  • r
  •  ´
  • ρm
  • r¯
  •  ´
  • t
  • r¯
  • r¯
  •  ´
  • c
  • r¯
  • r¯
  •  ´

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