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Display information for equation id:math.1199.1068 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.1068)

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TeX (original user input):

\begin{align}
& {{\left( \nabla \times \bar{E} \right)}_{2}}=\frac{\partial {{E}_{1}}}{\partial {{x}_{3}}}=-{{{\dot{B}}}_{2}} \\
& \Leftrightarrow i\frac{\omega }{c}\left( n+i\gamma  \right){{E}_{1}}=i\omega {{B}_{2}} \\
& \Leftrightarrow {{B}_{2}}=\frac{\left( n+i\gamma  \right)}{c}{{E}_{1}}=\frac{\sqrt{{{n}^{2}}+{{\gamma }^{2}}}}{c}{{e}^{i\phi }}{{E}_{1}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\left(\nabla \times {\bar {E}}\right)}_{2}}={\frac {\partial {{E}_{1}}}{\partial {{x}_{3}}}}=-{{\dot {B}}_{2}}\\&\Leftrightarrow i{\frac {\omega }{c}}\left(n+i\gamma \right){{E}_{1}}=i\omega {{B}_{2}}\\&\Leftrightarrow {{B}_{2}}={\frac {\left(n+i\gamma \right)}{c}}{{E}_{1}}={\frac {\sqrt {{{n}^{2}}+{{\gamma }^{2}}}}{c}}{{e}^{i\phi }}{{E}_{1}}\\\end{aligned}}

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(×E¯)2=E1x3=B˙2iωc(n+iγ)E1=iωB2B2=(n+iγ)cE1=n2+γ2ceiϕE1
<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><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">&#x2207;</mi><mo>&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><mo>&#x2212;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D4;</mo><mi>i</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C9;</mi></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>n</mi><mo>+</mo><mi>i</mi><mi>&#x03B3;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mi>i</mi><mi>&#x03C9;</mi><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D4;</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>n</mi><mo>+</mo><mi>i</mi><mi>&#x03B3;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>&#x03D5;</mi></mrow></mrow></msup><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></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

  • E¯2
  • E1
  • x3
  • B˙2
  • i
  • ω
  • c
  • n
  • i
  • γ
  • E1
  • i
  • ω
  • B2
  • B2
  • n
  • i
  • γ
  • c
  • E1
  • n
  • γ
  • c
  • e
  • i
  • ϕ
  • E1

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