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ee2:task_ezrkjzifcegttcpc_with_calculation [2024/07/04 11:31]
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ee2:task_ezrkjzifcegttcpc_with_calculation [2024/07/04 11:34] (aktuell)
mexleadmin
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-{{tag>resonance resonant_circuit RMS power exam_ee2_SS2021}}{{include_n>1280}}+{{tag>Multiphase_systems RMS power exam_ee2_SS2021}}{{include_n>1280}}
    
-#@TaskTitle_HTML@##@Lvl_HTML@#~~#@ee1_taskctr#~~ Resonant Circuit \\+#@TaskTitle_HTML@##@Lvl_HTML@#~~#@ee1_taskctr#~~ Multiphase systems \\
 <fs medium>(written test, approx. 4 % of a 120-minute written test, SS2021)</fs> #@TaskText_HTML@# <fs medium>(written test, approx. 4 % of a 120-minute written test, SS2021)</fs> #@TaskText_HTML@#
  
-Multiphase systems (10 points)  
 A symmetrical three-phase generator in a delta connection shall be considered in the following. \\ A symmetrical three-phase generator in a delta connection shall be considered in the following. \\
 A voltage with the RMS value $U_{\rm RMS} = 110~\rm V$ is applied between the terminals of each winding. \\ A voltage with the RMS value $U_{\rm RMS} = 110~\rm V$ is applied between the terminals of each winding. \\
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 The active power $P$ is given by: $P = 3 \cdot U \cdot I \cdot \sin(\varphi)$ The active power $P$ is given by: $P = 3 \cdot U \cdot I \cdot \sin(\varphi)$
 \begin{align*} \begin{align*}
- P &= 3 \cdot  110{~\rm V} \cdot 5{~\rm A} \cddot \sin(25°) \\+ P &= 3 \cdot  110{~\rm V} \cdot 5{~\rm A} \cdot \sin(25°) \\
    &= 1'610.888... ~\rm W    &= 1'610.888... ~\rm W
 \end{align*} \end{align*}
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 #@HiddenBegin_HTML~EzrkJzIFCEgTtCpC_42,Result~@# #@HiddenBegin_HTML~EzrkJzIFCEgTtCpC_42,Result~@#
-$W = 1.61 \~rm kW$+$W = 1.61 ~\rm kW$
 #@HiddenEnd_HTML~EzrkJzIFCEgTtCpC_42,Result~@# #@HiddenEnd_HTML~EzrkJzIFCEgTtCpC_42,Result~@#
  
 #@TaskEnd_HTML@# #@TaskEnd_HTML@#