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electrical_engineering_1:task_x357drkaqv84jnsc_with_calculation [2023/02/11 23:33] – angelegt mexleadminelectrical_engineering_1:task_x357drkaqv84jnsc_with_calculation [Unbekanntes Datum] (aktuell) – gelöscht - Externe Bearbeitung (Unbekanntes Datum) 127.0.0.1
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-{{tag>resistivity power heat exam_WS2022}} 
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-<fs x-large>**Exercise ~~#~~ : Pure Resistor Network Simplification ** \\ (written test, approx. 13% of a 60-minute written test, WS2022) \\ \\ </fs> 
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-The following circuit with $R_1=200 \Omega$, $R_2=R_3=100 \Omega$ and the switch $S$ is given. \\ 
-{{drawio>electrical_engineering_1:70jjg4yzwctqarsqCircuit.svg}} 
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-1. The switch shall now be open. Calculate the equivalent resistance $R_eq$ between $A$ and $B$. 
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-\begin{align*} 
-R &= R_0 \cdot (1 + \alpha \cdot \Delta T + \beta \cdot \Delta T^2) && | \text{with  } T = T_{end} - T_{start}\\ 
-R &= 10 k\Omega \cdot (1 + 0.01 {{1}\over{K}} \cdot (-40°C - 25°C) + 71 \cdot 10^{-6}{{1}\over{K^2}} \cdot (-40°C - 25°C)^2) \\ 
-\end{align*} 
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-\begin{align*} 
-R &= 6.5 k\Omega \\ 
-\end{align*} 
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-2. The switch shall now be closed. Calculate the equivalent resistance $R_eq$ between $A$ and $B$. 
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-<button size="xs" type="link" collapse="70jjg4yzznocarsq_2_solution">{{icon>eye}} Solution</button><collapse id="70jjg4yzznocarsq_2_solution" collapsed="true"> 
-Resistors transfer electrical energy out of the circuit and generate heat. Therefore, a resistive sensor might heat up the refrigeration system. \\ \\ 
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