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Merge pull request #207 from DC6GF/q-slides

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fix: Equation overlapping text on slides
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Matthias Jung
2026-06-04 22:51:36 +02:00
committed by GitHub
parent 6284a2290a 33e5587f8b
commit 8f00350c27
1 changed files with 5 additions and 3 deletions
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contents/slides/schwingkreis_2.md
+5 -3
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@@ -271,10 +271,11 @@ $Q = \frac{f_0}{B} = \frac{R_\text{P}}{X_\text{L}}$
</right>
<fragment>
Zuerst $f_0$ ausrechnen
$\begin{split} f_0 &= \frac{1}{2 \pi \cdot \sqrt{L \cdot C}}\\ &= \frac{1}{2 \pi \cdot \sqrt{\qty{100}{\micro\henry} \cdot \qty{0,01}{\micro\farad}}} \approx \qty{159,2}{\kilo\hertz} \end{split}$
</fragment>
<fragment>
$B$ oder $X_\text{L}$ ausrechnen
Dann $B$ oder $X_\text{L}$ ausrechnen
$\begin{split} X_\text{L} &= \omega \cdot L = 2 \pi \cdot f_0 \cdot L\\ &= 2 \pi \cdot \qty{159,2}{\kilo\hertz} \cdot \qty{100}{\micro\henry} \approx \qty{100,03}{\ohm} \end{split}$
</fragment>
<fragment>
@@ -292,12 +293,13 @@ $Q = \frac{X_\text{L}}{R_\text{S}} = \frac{\qty{100,03}{\ohm}}{\qty{10}{\ohm}} \
* gegeben: $R_\text{P} = \qty{1}{\kilo\ohm}$
* gesucht: $Q$
</right>
<fragment>
Zuerst $f_0$ ausrechnen
$\begin{split} f_0 &= \frac{1}{2 \pi \cdot \sqrt{L \cdot C}}\\ &= \frac{1}{2 \pi \cdot \sqrt{\qty{2,2}{\micro\henry} \cdot \qty{56}{\pico\farad}}} \approx \qty{14,34}{\mega\hertz} \end{split}$
</fragment>
<fragment>
$B$ oder $X_\text{L}$ ausrechnen
Dann $B$ oder $X_\text{L}$ ausrechnen
$\begin{split} X_\text{L} &= \omega \cdot L = 2 \pi \cdot f_0 \cdot L\\ &= 2 \pi \cdot \qty{14,34}{\mega\hertz} \cdot \qty{2,2}{\micro\henry} \approx \qty{198,2}{\ohm} \end{split}$
</fragment>
<fragment>