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electrical_engineering_and_electronics_1:block12 [2025/11/02 17:29] – mexleadminelectrical_engineering_and_electronics_1:block12 [2025/11/02 17:50] (aktuell) – [Learning objectives] mexleadmin
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 <callout> <callout>
 After this 90-minute block, you can  After this 90-minute block, you can 
-  - define a **capacitor** and **capacitance** $C=\dfrac{Q}{U}$ and use $C=\varepsilon_0\,\varepsilon_{\rm r}\,\dfrac{A}{d}$ for an ideal plate capacitor, including unit checks $[C]={\rm F}$.  +  - define a **capacitor** and **capacitance** $C$ and use it for an ideal plate capacitor, including unit checks $[C]={\rm F}$.  
-  - relate fields and material: $\vec{D}=\varepsilon\,\vec{E}$, $Q=\displaystyle\oint \vec{D}\cdot{\rm d}\vec{A}$ (Gauss), and $U=\displaystyle\int \vec{E}\cdot{\rm d}\vec{s}$. +  - relate fields and material. 
   - compute $C$ for key geometries (parallel plates, coaxial, spherical) and explain how $A$, $d$, $\varepsilon_{\rm r}$ scale $C$.    - compute $C$ for key geometries (parallel plates, coaxial, spherical) and explain how $A$, $d$, $\varepsilon_{\rm r}$ scale $C$. 
 </callout> </callout>
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 ==== Symbols ==== ==== Symbols ====
 +
 +  * The symbol of a general capacitor is given be two parallel lines nearby each other. \\
 +  * Since **electrolytic capacitors** can only withstand voltage in one direction, the **polarisation** is often shown by a curved electrode (US) or a unfilled one (EU). \\ Be aware that electrolytic capacitors can explode, once used in the wrong direction.
  
 {{drawio>electrical_engineering_and_electronics_1:CapSymbols01.svg}} {{drawio>electrical_engineering_and_electronics_1:CapSymbols01.svg}}