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electrical_engineering_2:task_1.1.4 [2022/03/10 12:29]
tfischer 		electrical_engineering_2:task_1.1.4 [2023/03/15 13:39]
mexleadmin
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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:  \\
-$Q_1=5 μC$ (point charge) \\ +$Q_1=5   ~\rm{µC}$ (point charge) \\ 
-$Q_2=-10 μC$ (point charge) \\ +$Q_2=-10 ~\rm{µC}$ (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*}
- |\vec{F}_C| = 1.321 N \rightarrow 1.3 N+ |\vec{F}_C| = 1.321 ~\rm{N} \rightarrow 1.3 ~\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 $E_3=500 kV/m$ 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 $E_3=500 ~\rm{kV/m}$ results. \\  
 +What force (magnitude) now results on $Q_1$?
  
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 \begin{align*} \begin{align*}
- |\vec{F}_C| = 2.5 N + |\vec{F}_C| = 2.5 ~\rm{N}
 \end{align*} \\ \end{align*} \\
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