diff --git a/contents/slides/reihe_parallel_widerstandsnetz_2.md b/contents/slides/reihe_parallel_widerstandsnetz_2.md index cf7e31f..ca2d737 100644 --- a/contents/slides/reihe_parallel_widerstandsnetz_2.md +++ b/contents/slides/reihe_parallel_widerstandsnetz_2.md @@ -15,7 +15,7 @@ Kirchhoff'sche Gesetze * gesucht: $U$ -$R_{\mathrm{ges}} = R_1 + \frac{R_1 \cdot R_2}{R_1 + R_2} = \qty{10}{\kilo\ohm} + \frac{\qty{10}{\kilo\ohm} \cdot \qty{10}{\kilo\ohm}}{\qty{10}{\kilo\ohm} + \qty{10}{\kilo\ohm}} = \qty{15}{\kilo\ohm}$ +$R_{\mathrm{ges}} = R_1 + \frac{R_2 \cdot R_3}{R_2 + R_3} = \qty{10}{\kilo\ohm} + \frac{\qty{10}{\kilo\ohm} \cdot \qty{10}{\kilo\ohm}}{\qty{10}{\kilo\ohm} + \qty{10}{\kilo\ohm}} = \qty{15}{\kilo\ohm}$ $I = I_2 + I_3 = \qty{1}{\milli\ampere} + \qty{1}{\milli\ampere} = \qty{2}{\milli\ampere}$ @@ -34,7 +34,7 @@ $U = R_{\mathrm{ges}} \cdot I = \qty{15}{\kilo\ohm} \cdot \qty{2}{\milli\ampere} * gesucht: $I_3$ -$R_{\mathrm{ges}} = R_1 + \frac{R_1 \cdot R_2}{R_1 + R_2} = \qty{10}{\kilo\ohm} + \frac{\qty{10}{\kilo\ohm} \cdot \qty{10}{\kilo\ohm}}{\qty{10}{\kilo\ohm} + \qty{10}{\kilo\ohm}} = \qty{15}{\kilo\ohm}$ +$R_{\mathrm{ges}} = R_1 + \frac{R_2 \cdot R_3}{R_2 + R_3} = \qty{10}{\kilo\ohm} + \frac{\qty{10}{\kilo\ohm} \cdot \qty{10}{\kilo\ohm}}{\qty{10}{\kilo\ohm} + \qty{10}{\kilo\ohm}} = \qty{15}{\kilo\ohm}$