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Display information for equation id:math.3191.0 on revision:3191
* Page found: Elektrische Feldkonstante (eq math.3191.0)
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Hash: 97571a0d490f7fb3c50c317d84b13a64
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\varepsilon_0 \equiv \frac{1}{\mu_0\ c^2} = \frac{10^{7}}{4\pi\cdot 299\,792\,458^2}~\frac{\mathrm{A}^2\mathrm{s}^4}{\mathrm{kg}\,\mathrm{m}^3} \, \approx 8,\!854\ 187\ 817\ 62\ldots \cdot 10^{-12} \frac {\mathrm{A}\,\mathrm{s}} {\mathrm{V}\,\mathrm{m}}
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MathML (2.864 KB / 482 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>≡</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"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mspace width="0.5em"/><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><msup><mn>0</mn><mrow data-mjx-texclass="ORD"><mn>7</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><mo>⋅</mo><mn>2</mn><mn>9</mn><mn>9</mn><mspace width="0.167em"></mspace><mn>7</mn><mn>9</mn><mn>2</mn><mspace width="0.167em"></mspace><mn>4</mn><mn>5</mn><msup><mn>8</mn><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mspace width="0.5em"/><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">A</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">s</mi></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">k</mi><mi mathvariant="normal">g</mi></mrow></mrow><mspace width="0.167em"></mspace><msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">m</mi></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mrow></mfrac></mrow><mspace width="0.167em"></mspace><mo>≈</mo><mn>8</mn><mo>,</mo><mspace width="-0.167em"></mspace><mn>8</mn><mn>5</mn><mn>4</mn><mspace width="0.5em"/><mn>1</mn><mn>8</mn><mn>7</mn><mspace width="0.5em"/><mn>8</mn><mn>1</mn><mn>7</mn><mspace width="0.5em"/><mn>6</mn><mn>2</mn><mo>…</mo><mo>⋅</mo><mn>1</mn><msup><mn>0</mn><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn><mn>2</mn></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">A</mi></mrow><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">s</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">V</mi></mrow><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">m</mi></mrow></mrow></mrow></mfrac></mrow></mstyle></mrow></math>
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