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Display information for equation id:math.1199.265 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.265)

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Hash: 2ae84a11de46e8d23899a3ff57da2e23

TeX (original user input):

\begin{align}
& \sigma =\frac{Q}{F}={{\varepsilon }_{0}}E=const.\quad (2) \\
& \Rightarrow \Phi (x)=-Ex+{{\Phi }_{0}} \\
& \Rightarrow {{\Phi }_{1}}-{{\Phi }_{2}}=E({{x}_{2}}-{{x}_{1}})\quad (3) \\
& ({{x}_{2}}-{{x}_{1}}):=a \\
& \Rightarrow C=-C\acute{\ }=\frac{Q}{{{\Phi }_{1}}-{{\Phi }_{2}}}=\frac{Q}{Ea}={{\varepsilon }_{0}}\frac{F}{a} \\
\end{align}

TeX (checked):

{\begin{aligned}&\sigma ={\frac {Q}{F}}={{\varepsilon }_{0}}E=const.\quad (2)\\&\Rightarrow \Phi (x)=-Ex+{{\Phi }_{0}}\\&\Rightarrow {{\Phi }_{1}}-{{\Phi }_{2}}=E({{x}_{2}}-{{x}_{1}})\quad (3)\\&({{x}_{2}}-{{x}_{1}}):=a\\&\Rightarrow C=-C{\acute {\ }}={\frac {Q}{{{\Phi }_{1}}-{{\Phi }_{2}}}}={\frac {Q}{Ea}}={{\varepsilon }_{0}}{\frac {F}{a}}\\\end{aligned}}

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MathML (3.065 KB / 566 B) :

σ=QF=ε0E=const.(2)Φ(x)=Ex+Φ0Φ1Φ2=E(x2x1)(3)(x2x1):=aC=C´=QΦ1Φ2=QEa=ε0Fa
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>&#x03C3;</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Q</mi></mrow><mrow data-mjx-texclass="ORD"><mi>F</mi></mrow></mfrac></mrow><mo>=</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>E</mi><mo>=</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi><mo>.</mo><mspace width="1em"></mspace><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><mi mathvariant="normal">&#x03A6;</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mo>&#x2212;</mo><mi>E</mi><mi>x</mi><mo>+</mo><msub><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><msub><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><msub><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mi>E</mi><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo><mspace width="1em"></mspace><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo><mi>:</mi><mo>=</mo><mi>a</mi></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><mi>C</mi><mo>=</mo><mo>&#x2212;</mo><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Q</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><msub><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Q</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>a</mi></mrow></mrow></mfrac></mrow><mo>=</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>F</mi></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Elektrodynamik Schöll page

Identifiers

  • σ
  • Q
  • F
  • ε0
  • E
  • c
  • o
  • n
  • s
  • t
  • Φ
  • x
  • E
  • x
  • Φ0
  • Φ1
  • Φ2
  • E
  • x2
  • x1
  • x2
  • x1
  • a
  • C
  • C
  • ´
  • Q
  • Φ1
  • Φ2
  • Q
  • E
  • a
  • ε0
  • F
  • a

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