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electrical_engineering_1:task_jti0uzudcmg4u22t_with_calculation [2023/02/12 03:08] – angelegt mexleadminelectrical_engineering_1:task_jti0uzudcmg4u22t_with_calculation [Unbekanntes Datum] (aktuell) – gelöscht - Externe Bearbeitung (Unbekanntes Datum) 127.0.0.1
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-{{tag>complex_impedance exam_WS2022}} 
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-<panel type="info" > <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%> 
-<fs x-large>**Exercise ~~#~~ : Analyzing complex Impedances ** \\ (written test, approx. 16% of a 60-minute written test, WS2022) \\ \\ </fs> 
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-A circuit with an ideal voltage source ($U=50 V$, $f=330 Hz$) and two components ($R$ and $\underline{X}_1$) shall be given. \\ 
-After analysis, the following formula for the impedance was extracted: 
-\begin{align*} 
-\underline{Z} = \left({{2}\over{3+4j}}+5j \right) \Omega 
-\end{align*} 
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-1. Calculate the physical values of the two components. 
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-<button size="xs" type="link" collapse="tb6pi8dgh0m2e2pw_1_path">{{icon>eye}} Solution</button><collapse id="tb6pi8dgh0m2e2pw_1_path" collapsed="true"> 
-<panel> 
-\begin{align*} 
-\underline{Z} &= \left({{2}\over{3+4j}} + 5j \right) \Omega \\ 
-              &= \left({{2}\over{3+4j}} \cdot {{3-4j}\over{3-4j}} + 5j \right) \Omega \\ 
-              &= \left({{2}\over{9+16}} \cdot (3-4j) + 5j \right) \Omega \\ 
-              &= \left(0.24 - 0.32j + 5j \right) \Omega \\ 
-              &= 0.24 \Omega + j \cdot 4.68 \Omega \\ 
-\end{align*} 
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-</panel></collapse> 
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-<button size="xs" type="link" collapse="tb6pi8dgh0m2e2pw_1_solution">{{icon>eye}} Final result</button><collapse id="tb6pi8dgh0m2e2pw_1_solution" collapsed="true"><panel> 
-\begin{align*} 
-     t          = 1.39 ms 
-\end{align*}</panel> 
- \\ 
-</collapse> 
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-2. Calculate the phase and absolute value of complex current $\underline{I}$ through the circuit. 
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-3. Now an additional component $\underline{X}_2$ shall be added in series to the two components. \\ 
-This component shall be dimensioned in such a way that the current and voltage are in phase. Calculate these component value! 
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-</WRAP></WRAP></panel>