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electrical_engineering_2:the_electrostatic_field [2023/05/12 14:22]
mexleadmin 		electrical_engineering_2:the_electrostatic_field [2024/03/19 03:19] (aktuell)
mexleadmin [Bearbeiten - Panel]
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-====== 1. The Electrostatic Field ======+====== 1 The Electrostatic Field ======
  
 <callout> <callout>
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 </WRAP></WRAP></panel> </WRAP></WRAP></panel>
  
-<panel type="info" title="Task 1.1.5 Field lines"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>+<panel type="info" title="Task 1.1.2 Field lines"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
  
 Sketch the field line plot for the charge configurations given in <imgref ImgNr04>. \\ Sketch the field line plot for the charge configurations given in <imgref ImgNr04>. \\
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 {{youtube>QWOwK-zyEnE}} {{youtube>QWOwK-zyEnE}}
 </WRAP></WRAP></panel> </WRAP></WRAP></panel>
 +
 +{{page>task_1.1.3_with_calc&nofooter}}
 +{{page>task_1.1.4&nofooter}}
 +{{page>task_1.1.5&nofooter}}
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 =====1.3 Work and Potential ===== =====1.3 Work and Potential =====
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 </callout> </callout>
- 
-==== Tasks ==== 
- 
-{{page>task_1.1.3_with_calc&nofooter}} 
-{{page>task_1.1.4&nofooter}} 
-{{page>task_1.1.5&nofooter}} 
  
 =====1.4 Conductors in the Electrostatic Field ===== =====1.4 Conductors in the Electrostatic Field =====
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 {{page>task_1.4.4&nofooter}} {{page>task_1.4.4&nofooter}}
  
 +<wrap anchor #exercise_1_4_5 />
 <panel type="info" title="Task 1.4.5 Simulation"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%> <panel type="info" title="Task 1.4.5 Simulation"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
  
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---> Answer #+#@HiddenBegin_HTML~1,Result~@#
  
 $\varrho_2 < \varrho_3 < \varrho_1 < \varrho_4$ $\varrho_2 < \varrho_3 < \varrho_1 < \varrho_4$
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 <imgcaption ImgNr031 | examples of field lines> <imgcaption ImgNr031 | examples of field lines>
 </imgcaption> <WRAP> </imgcaption> <WRAP>
-{{url>https://www.falstad.com/emstatic/EMStatic.html?rol=$+1+256+128+0+7+421+0.048828125+364%0Ae+1+2+0+256+256+276+276+0%0Ae+1+2+0+256+256+276+276+0%0Ae+1+2+100+64+84+124+144+0%0Ae+0+2+0+256+256+276+276+0%0Ae+0+2+100+69+81+146+126+0%0Ae+0+2+100+147+96+162+100+0%0Ae+0+2+100+92+88+158+109+0%0Aw+0+2+100+112+138+157+99%0Aw+0+2+100+146+105+169+89%0Ae+0+2+100+104+91+165+96+0%0AE+1+2+100+45+55+135+145+55+65+129+139+0%0AE+1+2+100+62+63+93+94+68+69+87+88+0%0Ae+0+2+100+86+60+125+107+0%0Ae+0+2+100+54+93+92+132+0%0Ae+0+2+100+85+56+106+74+0%0Ae+0+2+100+51+79+73+113+0%0Ae+0+2+100+110+84+140+103+0%0A 600,600 noborder}}+{{url>https://www.falstad.com/emstatic/EMStatic.html?rol=$+1+409+209+0+10+322+0.5+397%0Ae+1+2+100+127+165+245+284+0%0Ae+0+2+100+135+159+288+248+0%0Ae+0+2+100+285+187+315+195+0%0Ae+0+2+100+174+174+305+216+0%0Aw+0+2+100+221+271+309+194%0Aw+0+2+100+291+206+339+174%0Ae+0+2+100+199+182+319+191+0%0AE+1+2+100+88+104+265+284+107+124+255+271+0%0AE+1+2+100+121+123+184+185+133+135+171+173+0%0Ae+0+2+100+170+118+247+210+0%0Ae+0+2+100+106+184+180+261+0%0Ae+0+2+100+166+110+209+145+0%0Ae+0+2+100+100+154+144+222+0%0Ae+0+2+100+217+165+276+203+0%0A 600,600 noborder}} 
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 +#@HiddenEnd_HTML~1,Result~@# 
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 </WRAP></WRAP></panel> </WRAP></WRAP></panel>
  
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 An ideal plate capacitor with a distance of $d_0 = 6 ~{ \rm mm}$ between the plates and with air as dielectric ($\varepsilon_0=1$) is charged to a voltage of $U_0 = 5~{ \rm kV}$.  An ideal plate capacitor with a distance of $d_0 = 6 ~{ \rm mm}$ between the plates and with air as dielectric ($\varepsilon_0=1$) is charged to a voltage of $U_0 = 5~{ \rm kV}$. 
-The source remains connected to the capacitor. In the air gap between the plates, a glass plate with $d_{ \rm g} = 2 ~{ \rm mm}$ and $\varepsilon_{ \rm r} = 8$ is introduced parallel to the capacitor plates.+The source remains connected to the capacitor. In the air gap between the plates, a glass plate with $d_{ \rm g} = 4 ~{ \rm mm}$ and $\varepsilon_{ \rm r} = 8$ is introduced parallel to the capacitor plates.
    
   - Calculate the partial voltages on the glas $U_{ \rm g}$ and on the air gap $U_{ \rm a}$.   - Calculate the partial voltages on the glas $U_{ \rm g}$ and on the air gap $U_{ \rm a}$.
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 \end{align*} \end{align*}
 \begin{align*} \begin{align*}
-\boxed{ U_k = const}+\boxed{ U_k = {\rm const.}}
 \end{align*} \end{align*}
 </WRAP> </WRAP>
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 </WRAP></WRAP></panel> </WRAP></WRAP></panel>
  
 +<panel type="info" title="Exercise 1.9.2 Further capacitor charging/discharging practice Exercise "> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
 +
 +{{youtube>a-gPuw6JsxQ}}
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 +</WRAP></WRAP></panel>
 +
 +<panel type="info" title="Exercise 1.9.3 Further practice charging the capacitor"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
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 +{{youtube>L0S_Aw8pBto}}
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 +</WRAP></WRAP></panel>
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 +<panel type="info" title="Exercise 1.9.4 Charge balance of two capacitors"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
 +
 +{{youtube>EMdpkDoMXXE}}
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 +</WRAP></WRAP></panel>
  
-<panel type="info" title="Task 1.9.2 Capacitor with glass plate"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>+<panel type="info" title="Exercise 1.9.5 Capacitor with glass plate"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
  
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