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Display information for equation id:math.1444.173 on revision:1444

* Page found: Materie in elektrischen und magnetischen Feldern (eq math.1444.173)

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Hash: ca69755f5819a04b88aef41d050bcc2f

TeX (original user input):

{{\bar{F}}_{K}}={{Q}_{K}}\bar{E}\left( {{{\bar{r}}}_{\acute{\ }k}},t \right)=\frac{{{{\bar{r}}}_{k}}-{{{\bar{r}}}_{e}}}{4\pi {{\varepsilon }_{0}}{{R}^{3}}}{{Q}_{e}}{{Q}_{k}}=-\frac{{{Z}^{2}}{{e}^{2}}}{4\pi {{\varepsilon }_{0}}{{R}^{3}}}\left( {{{\bar{r}}}_{k}}-{{{\bar{r}}}_{e}} \right)

TeX (checked):

{{\bar {F}}_{K}}={{Q}_{K}}{\bar {E}}\left({{\bar {r}}_{{\acute {\ }}k}},t\right)={\frac {{{\bar {r}}_{k}}-{{\bar {r}}_{e}}}{4\pi {{\varepsilon }_{0}}{{R}^{3}}}}{{Q}_{e}}{{Q}_{k}}=-{\frac {{{Z}^{2}}{{e}^{2}}}{4\pi {{\varepsilon }_{0}}{{R}^{3}}}}\left({{\bar {r}}_{k}}-{{\bar {r}}_{e}}\right)

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MathML (2.346 KB / 450 B) :

F¯K=QKE¯(r¯ ´k,t)=r¯kr¯e4πε0R3QeQk=Z2e24πε0R3(r¯kr¯e)
<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><mover><mi>F</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mover><mi>E</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>r</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mi>k</mi></mrow></mrow></msub><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"><mrow data-mjx-texclass="ORD"><msub><mover><mi>r</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false"></mo><msub><mover><mi>r</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mrow></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><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mrow></mfrac></mrow><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>Z</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></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><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mi>r</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false"></mo><msub><mover><mi>r</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></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

  • F¯K
  • QK
  • E¯
  • r¯
  •  ´
  • k
  • t
  • r¯k
  • r¯e
  • π
  • ε0
  • R
  • Qe
  • Qk
  • Z
  • e
  • π
  • ε0
  • R
  • r¯k
  • r¯e

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