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fix: equation for total resistance

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R_2 and R_3 are in parallel, but R_1 and R_2 are used in the equation.
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Mario Haustein
2026-05-21 21:47:44 +02:00
parent 9ca449049b
commit 820dd38e2b
1 changed files with 2 additions and 2 deletions
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contents/slides/reihe_parallel_widerstandsnetz_2.md
+2 -2
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@@ -15,7 +15,7 @@ Kirchhoff'sche Gesetze
* gesucht: $U$ * gesucht: $U$
<fragment> <fragment>
$R_{\mathrm{ges}} = R_1 + \frac{R_1 \cdot R_2}{R_1 + R_2} = \qty{10}{\kilo\ohm} + \frac{\qty{10}{\kilo\ohm} \cdot \qty{10}{\kilo\ohm}}{\qty{10}{\kilo\ohm} + \qty{10}{\kilo\ohm}} = \qty{15}{\kilo\ohm}$ $R_{\mathrm{ges}} = R_1 + \frac{R_2 \cdot R_3}{R_2 + R_3} = \qty{10}{\kilo\ohm} + \frac{\qty{10}{\kilo\ohm} \cdot \qty{10}{\kilo\ohm}}{\qty{10}{\kilo\ohm} + \qty{10}{\kilo\ohm}} = \qty{15}{\kilo\ohm}$
</fragment> </fragment>
<fragment> <fragment>
$I = I_2 + I_3 = \qty{1}{\milli\ampere} + \qty{1}{\milli\ampere} = \qty{2}{\milli\ampere}$ $I = I_2 + I_3 = \qty{1}{\milli\ampere} + \qty{1}{\milli\ampere} = \qty{2}{\milli\ampere}$
@@ -34,7 +34,7 @@ $U = R_{\mathrm{ges}} \cdot I = \qty{15}{\kilo\ohm} \cdot \qty{2}{\milli\ampere}
* gesucht: $I_3$ * gesucht: $I_3$
<fragment> <fragment>
$R_{\mathrm{ges}} = R_1 + \frac{R_1 \cdot R_2}{R_1 + R_2} = \qty{10}{\kilo\ohm} + \frac{\qty{10}{\kilo\ohm} \cdot \qty{10}{\kilo\ohm}}{\qty{10}{\kilo\ohm} + \qty{10}{\kilo\ohm}} = \qty{15}{\kilo\ohm}$ $R_{\mathrm{ges}} = R_1 + \frac{R_2 \cdot R_3}{R_2 + R_3} = \qty{10}{\kilo\ohm} + \frac{\qty{10}{\kilo\ohm} \cdot \qty{10}{\kilo\ohm}}{\qty{10}{\kilo\ohm} + \qty{10}{\kilo\ohm}} = \qty{15}{\kilo\ohm}$
</fragment> </fragment>
<fragment> <fragment>