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fix, slides: get rid of \nonumber commands

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We do not need the equation environment. It introduces the equation
numbering, which we then disable by `\nonumber`. We just need the
split-environment.
This commit is contained in:
Mario Haustein
2026-02-06 18:22:57 +01:00
parent 739e6aa365
commit fca3de5b57
23 changed files with 67 additions and 67 deletions
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contents/slides/reihe_parallel_gemischt.md
+4 -4
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@@ -18,7 +18,7 @@ Eigenkapazität einer Spule
* gesucht: $C_{\textrm{ges}}$
<fragment>
$\begin{equation}\begin{align}\nonumber \tfrac{1}{C_{\textrm{ges}}} &= \tfrac{1}{C_1} + \tfrac{1}{C_2} + \tfrac{1}{C_3} = \tfrac{1}{0,10nF} + \tfrac{1}{47pF} + \tfrac{1}{22pF}\\ \nonumber &= 7,67\cdot 10^{10} \tfrac{1}{F}\\ \nonumber \Rightarrow C_{\textrm{ges}} &= \frac{1}{7,67\cdot 10^{10} \frac{1}{F}} \approx 13,0pF \end{align}\end{equation}$
$\begin{split} \tfrac{1}{C_{\textrm{ges}}} &= \tfrac{1}{C_1} + \tfrac{1}{C_2} + \tfrac{1}{C_3} = \tfrac{1}{0,10nF} + \tfrac{1}{47pF} + \tfrac{1}{22pF}\\ &= 7,67\cdot 10^{10} \tfrac{1}{F}\\ \Rightarrow C_{\textrm{ges}} &= \frac{1}{7,67\cdot 10^{10} \frac{1}{F}} \approx 13,0pF \end{split}$
</fragment>
---
[question:AD103]
@@ -32,7 +32,7 @@ $\begin{equation}\begin{align}\nonumber \tfrac{1}{C_{\textrm{ges}}} &= \tfrac{1}
* gesucht: $C_{\textrm{ges}}$
<fragment>
$\begin{equation}\begin{split}\nonumber C_{\textrm{ges}} &= C_1 + C_2 + C_3 + C_{\textrm{L}}\\ &= 0,1nF + 1,5nF + 220pF + 1pF\\ &= 1821pF \end{split}\end{equation}$
$\begin{split} C_{\textrm{ges}} &= C_1 + C_2 + C_3 + C_{\textrm{L}}\\ &= 0,1nF + 1,5nF + 220pF + 1pF\\ &= 1821pF \end{split}$
</fragment>
<note>
Einheitenpräfixe beachten und mit Kehrwerten rechnen
@@ -49,7 +49,7 @@ Einheitenpräfixe beachten und mit Kehrwerten rechnen
* gesucht: $Z$
<fragment>
$\begin{equation}\begin{split}\nonumber X_{\textrm{L}} &= \omega \cdot L = 2 \cdot \pi \cdot f \cdot L\\ &= 2 \cdot \pi \cdot 1MHz \cdot 100\mu H = 628\Omega\end{split}\end{equation}$
$\begin{split} X_{\textrm{L}} &= \omega \cdot L = 2 \cdot \pi \cdot f \cdot L\\ &= 2 \cdot \pi \cdot 1MHz \cdot 100\mu H = 628\Omega\end{split}$
</fragment>
<fragment>
$Z = \sqrt{R^2 + X^2} = \sqrt{(100\Omega)^2 + (628\Omega)^2} \approx 636\Omega$
@@ -66,7 +66,7 @@ $Z = \sqrt{R^2 + X^2} = \sqrt{(100\Omega)^2 + (628\Omega)^2} \approx 636\Omega$
* gesucht: $Z$
<fragment>
$\begin{equation}\begin{split}\nonumber X_{\textrm{C}} &= \frac{1}{\omega \cdot C} = \frac{1}{2 \cdot \pi \cdot f \cdot C}\\ &= \frac{1}{2 \cdot \pi \cdot 1MHz \cdot 100nF} = 159\Omega\end{split}\end{equation}$
$\begin{split} X_{\textrm{C}} &= \frac{1}{\omega \cdot C} = \frac{1}{2 \cdot \pi \cdot f \cdot C}\\ &= \frac{1}{2 \cdot \pi \cdot 1MHz \cdot 100nF} = 159\Omega\end{split}$
</fragment>
<fragment>
$Z = \sqrt{R^2 + X^2} = \sqrt{(100\Omega)^2 + (159\Omega)^2} \approx 188\Omega$