Unterschiede

Hier werden die Unterschiede zwischen zwei Versionen angezeigt.

Link zu dieser Vergleichsansicht

Beide Seiten der vorigen Revision Vorhergehende Überarbeitung
electrical_engineering_and_electronics_1:block13 [2025/11/02 17:47] – mexleadminelectrical_engineering_and_electronics_1:block13 [2025/11/02 17:48] (aktuell) – [Learning objectives] mexleadmin
Zeile 5: Zeile 5:
 After this 90-minute block, you can After this 90-minute block, you can
   * identify series vs. parallel connections of capacitors from a circuit diagram,   * identify series vs. parallel connections of capacitors from a circuit diagram,
-  * compute equivalent capacitance $C_{\rm eq}$ for series $\left(\displaystyle \frac{1}{C_{\rm eq}}=\sum_k \frac{1}{C_k}\right)$ and parallel $\left(\displaystyle C_{\rm eq}=\sum_k C_k\right)$ networks, +  * compute equivalent capacitance $C_{\rm eq}$ for series and parallelnetworks, 
-  * use the key sharing rules: in **series** $Q_k=\text{const.}$ and voltages divide $\left(U_k=\dfrac{Q}{C_k}\right)$; in **parallel** $U_k=\text{const.}$ and charges divide $\left(Q_k=C_k\,U\right)$, +  * use the key sharing rules: in **series** $Q_k=\text{const.}$ and voltages divide; in **parallel** $U_k=\text{const.}$ and charges divide, 
-  * apply the capacitor divider relation (two series capacitors) $\,U_1=\dfrac{C_2}{C_1+C_2}\,U\,,\;U_2=\dfrac{C_1}{C_1+C_2}\,U\,$, +  * apply the capacitor divider relation (two series capacitors), 
-  * determine and check stored energy with $W=\dfrac{1}{2}C U^2=\dfrac{1}{2}Q U=\dfrac{Q^2}{2C}$, including a dimensional check to $\rm J$.+  * determine stored energy, including a dimensional check to $\rm J$.
 </callout> </callout>