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Merge pull request #179 from hamarituc/transformer

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fix transformer slides
This commit is contained in:
Matthias Jung
2026-05-01 22:52:37 +02:00
committed by GitHub
parent 833a68ec15 46a0cd26cb
commit 3ba22a7965
1 changed files with 3 additions and 3 deletions
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contents/slides/uebertrager_2.md
+3 -3
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@@ -20,11 +20,11 @@ $ü = \frac{N_P}{N_S} = \frac{U_P}{U_S} = \frac{I_S}{I_P}$
<fragment>
Das Verhältnis der Primär- zur Sekundärimpedanz ist wie die obigen Verhältnisse zum Quadrat:
$ü = \frac{Z_P}{Z_S} = \left(\frac{N_P}{N_S}\right)^2 = \left(\frac{U_P}{U_S}\right)^2 = \left(\frac{I_S}{I_P}\right)^2$
$ü^2 = \frac{Z_P}{Z_S} = \left(\frac{N_P}{N_S}\right)^2 = \left(\frac{U_P}{U_S}\right)^2 = \left(\frac{I_S}{I_P}\right)^2$
</fragment>
<fragment>
Oder nach Ziehung der Wurzel:
Oder nach ziehen der Wurzel:
$ü = \frac{N_P}{N_S} = \frac{U_P}{U_S} = \frac{I_S}{I_P} = \sqrt{\frac{Z_P}{Z_S}}$
</fragment>
@@ -53,7 +53,7 @@ $\begin{split} \frac{U_P}{U_S} &= \frac{I_S}{I_P} \\ \Rightarrow I_P &= \frac{I_
* gesucht: $Z_P$
<fragment>
$\begin{split} ü &= \sqrt{\frac{Z_P}{Z_S}} \\ \Rightarrow Z_P &= ü^2 \cdot Z_S = \frac{1^2}{4^2} \cdot 16k\Omega \\ &= \frac{\qty{16}{\kilo\ohm}}{16} = \qty{1}{\kilo\ohm} \end{split}$
$\begin{split} ü &= \sqrt{\frac{Z_P}{Z_S}} \\ \Rightarrow Z_P &= ü^2 \cdot Z_S = \frac{1^2}{4^2} \cdot \qty{16}{\kilo\ohm} \\ &= \frac{\qty{16}{\kilo\ohm}}{16} = \qty{1}{\kilo\ohm} \end{split}$
</fragment>
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