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electrical_engineering_2:task_1.1.5 [2022/03/10 12:00]
tfischer [Bearbeiten - Panel] 		electrical_engineering_2:task_1.1.5 [2023/03/15 13:44]
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-<panel type="info" title="Task 5.1.5 Variation: Forces on Charges (exam task, ca 8% of a 60 minute exam, WS2020)"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>+<panel type="info" title="Task 1.1.5 Variation: Forces on Charges (exam task, ca 8% of a 60 minute exam, WS2020)"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
  
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 Given is an arrangement of electric charges located in a vacuum (see picture on the right). \\ Given is an arrangement of electric charges located in a vacuum (see picture on the right). \\
 The charges have the following values:  \\ The charges have the following values:  \\
-$Q_1=2 μC$ (point charge) \\ +$Q_1= 2 ~\rm{µC}$ (point charge) \\ 
-$Q_2=-4 μC$ (point charge) \\ +$Q_2=-4 ~\rm{µC}$ (point charge) \\ 
-$Q_3=0 C$ (infinitely extended surface charge)+$Q_3= 0 ~\rm{C}$ (infinitely extended surface charge)
  
-$\varepsilon_0=8,854\cdot 10^{-12}  F/m$  , $\varepsilon_r=1$+$\varepsilon_0=8.854\cdot 10^{-12}  ~\rm{F/m}$  , $\varepsilon_r=1$
  
 1. calculate the magnitude of the force of $Q_2$ on $Q_1$, without the force effect of $Q_3$. 1. calculate the magnitude of the force of $Q_2$ on $Q_1$, without the force effect of $Q_3$.
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 \begin{align*} \begin{align*}
- |F_C| = 0.3595 N -> 0.36 N+ |\vec{F}_C| = 0.3595 ~\rm{N} \rightarrow 0.36 ~\rm{N}
 \end{align*} \end{align*}
  \\  \\
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-Now let $Q_2=0$ and the surface charge $Q_3$ be designed in such a way that a homogeneous electric field with $E_3=100 kV/m$ results. \\ What force (magnitude) now results on $Q_1$?+Now let $Q_2=0$ and the surface charge $Q_3$ be designed in such a way that a homogeneous electric field with $E_3=100 ~\rm{kV/m}$ results. \\ What force (magnitude) now results on $Q_1$?
  
 <button size="xs" type="link" collapse="Loesung_5_1_5_3_Endergebnis">{{icon>eye}} Result</button><collapse id="Loesung_5_1_5_3_Endergebnis" collapsed="true"> <button size="xs" type="link" collapse="Loesung_5_1_5_3_Endergebnis">{{icon>eye}} Result</button><collapse id="Loesung_5_1_5_3_Endergebnis" collapsed="true">
 \begin{align*} \begin{align*}
- |F_C| = 0.4 N + |\vec{F}_C| = 0.4 ~\rm{N} 
 \end{align*} \\ \end{align*} \\
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