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use \qty, \unit, and \num in Chapter 13 slides

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Fix factor for IP3
Fix split environment in Doppelsuper slides
Fix term "GPS-synchronisierte Oszillatoren"
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DC6GF
2026-02-27 09:42:16 +01:00
parent b57963c2a6
commit 9791ecd535
15 changed files with 149 additions and 145 deletions
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contents/slides/rauschen.md
+4 -4
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@@ -3,7 +3,7 @@
* Bspw. bei Verwendung verschiedener Filter
<fragment>
$\Delta P_R = 10 \cdot \log_{10}{\left(\frac{B_1}{B_2}\right)}dB$
$\Delta P_R = \qty{10 \cdot \log_{10}{\left(\frac{B_1}{B_2}\right)}}{\dB}$
</fragment>
---
@@ -12,10 +12,10 @@ $\Delta P_R = 10 \cdot \log_{10}{\left(\frac{B_1}{B_2}\right)}dB$
[question:AB409]
---
#### Lösungsweg
* gegeben: $B_1 = 2,5kHz$
* gegeben: $B_2 = 0,5kHz$
* gegeben: $B_1 = \qty{2,5}{\kilo\hertz}$
* gegeben: $B_2 = \qty{0,5}{\kilo\hertz}$
* gesucht: $\Delta P_R$
<fragment>
$\Delta P_R = 10 \cdot \log_{10}{\left(\frac{B_1}{B_2}\right)}dB = 10 \cdot \log_{10}{\left(\frac{2,5kHz}{0,5kHz}\right)}dB \approx 7dB$
$\begin{split}\Delta P_R &= \qty{10 \cdot \log_{10}{\left(\frac{B_1}{B_2}\right)}}{\dB}\\ &= \qty{10 \cdot \log_{10}{\left(\frac{\qty{2,5}{\kilo\hertz}}{\qty{0,5}{\kilo\hertz}}\right)}}{\dB}\\ &\approx \qty{7}{\dB}\end{split}$
</fragment>