fix: use \left and \right for parentheses around fractions

This commit is contained in:
Mario Haustein
2026-02-19 00:58:45 +01:00
parent 7183af13ac
commit 5725a59612
+2 -2
View File
@@ -58,7 +58,7 @@ Definition: Die Pulsbreite liegt bei 50% des Spitzenwerts
* gesucht: $P_{\textrm{PEP}}$
<fragment>
$\begin{split} P_{\textrm{PEP}} &= \frac{U_{\textrm{eff}}^2}{R} = \frac{(\frac{\qty{100}{\volt}}{\sqrt{2}})^2}{\qty{50}{\ohm}}\\ &=\frac{\frac{(\qty{100}{\volt})^2}{2}}{\qty{50}{\ohm}} = \frac{\qty{5000}{\volt}^2}{\qty{50}{\ohm}} = \qty{100}{\watt} \end{split}$
$\begin{split} P_{\textrm{PEP}} &= \frac{U_{\textrm{eff}}^2}{R} = \frac{\left(\frac{\qty{100}{\volt}}{\sqrt{2}}\right)^2}{\qty{50}{\ohm}}\\ &=\frac{\frac{(\qty{100}{\volt})^2}{2}}{\qty{50}{\ohm}} = \frac{\qty{5000}{\volt}^2}{\qty{50}{\ohm}} = \qty{100}{\watt} \end{split}$
</fragment>
---
[question:AI306]
@@ -69,7 +69,7 @@ $\begin{split} P_{\textrm{PEP}} &= \frac{U_{\textrm{eff}}^2}{R} = \frac{(\frac{\
* gesucht: $P_{\textrm{PEP}}$
<fragment>
$\begin{split} P_{\textrm{PEP}} &= \frac{U_{\textrm{eff}}^2}{R} = \frac{(\frac{\qty{6}{\volt}\cdot 10}{\sqrt{2}})^2}{\qty{50}{\ohm}}\\ &=\frac{\frac{(\qty{60}{\volt})^2}{2}}{\qty{50}{\ohm}} = \qty{36}{\watt} \end{split}$
$\begin{split} P_{\textrm{PEP}} &= \frac{U_{\textrm{eff}}^2}{R} = \frac{\left(\frac{\qty{6}{\volt}\cdot 10}{\sqrt{2}}\right)^2}{\qty{50}{\ohm}}\\ &=\frac{\frac{(\qty{60}{\volt})^2}{2}}{\qty{50}{\ohm}} = \qty{36}{\watt} \end{split}$
</fragment>
---