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electrical_engineering_and_electronics_1:block04 [2025/09/28 22:38] – angelegt mexleadminelectrical_engineering_and_electronics_1:block04 [2025/10/14 11:36] (aktuell) – [Parallel circuit of resistors] mexleadmin
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 ===== Learning objectives ===== ===== Learning objectives =====
 <callout> <callout>
 +After this 90-minute block, you can
   * Identify nodes, branches, and (essential) loops in DC circuits and draw consistent reference arrows for $U$ and $I$ (passive/active sign conventions).   * Identify nodes, branches, and (essential) loops in DC circuits and draw consistent reference arrows for $U$ and $I$ (passive/active sign conventions).
   * State and apply **Kirchhoff’s Current Law (KCL)** at an arbitrary node and **Kirchhoff’s Voltage Law (KVL)** around a loop.    * State and apply **Kirchhoff’s Current Law (KCL)** at an arbitrary node and **Kirchhoff’s Voltage Law (KVL)** around a loop. 
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   * Use KCL/KVL as the foundation for upcoming techniques (series/parallel, dividers, bridges, source equivalents).    * Use KCL/KVL as the foundation for upcoming techniques (series/parallel, dividers, bridges, source equivalents). 
 </callout> </callout>
 +
 +===== Preparation at Home =====
 +
 +As always: 
 +  * Please read through the following chapter.
 +  * Also here, there are some clips for more clarification under 'Embedded resources' (check the text above/below, sometimes only part of the clip is interesting). 
 +
 +For checking your understanding please do the following exercises:
 +  * 2.3.3 (1) 
 +  * 2.4.3
  
 ===== 90-minute plan ===== ===== 90-minute plan =====
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 </WRAP> </WRAP>
  
-Since the same voltage $U_{ab}$ is dropped across all resistors, using Kirchhoff's current law:+Since the same voltage $U_{\rm ab}$ is dropped across all resistors, using Kirchhoff's current law:
  
-$\large{{U_{ab}}\over{R_1}}+ {{U_{ab}}\over{R_2}}+ ... + {{U_{\rm ab}}\over{R_n}}= {{U_{\rm ab}}\over{R_{\rm eq}}}$+$\large{{U_{\rm ab}}\over{R_1}}+ {{U_{\rm ab}}\over{R_2}}+ ... + {{U_{\rm ab}}\over{R_n}}= {{U_{\rm ab}}\over{R_{\rm eq}}}$
  
 $\rightarrow \large{{{1}\over{R_1}}+ {{1}\over{R_2}}+ ... + {{1}\over{R_n}}= {{1}\over{R_{\rm eq}}} = \sum_{x=1}^{n} {{1}\over{R_x}}}$ $\rightarrow \large{{{1}\over{R_1}}+ {{1}\over{R_2}}+ ... + {{1}\over{R_n}}= {{1}\over{R_{\rm eq}}} = \sum_{x=1}^{n} {{1}\over{R_x}}}$
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 </WRAP></WRAP></panel> </WRAP></WRAP></panel>
  
-<panel type="info" title="Exercise 4.1 Identify nodes, branches, and loops"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%> + 
-Label nodes (degree $\ge 3$), branches, and at least two distinct loops.   + 
-<WRAP> +
-<imgcaption BildNr70 | Branches and Nodes> +
-</imgcaption> +
-{{drawio>ZweigeundKnoten.svg}} +
-</WRAP> +
-</WRAP></WRAP></panel> +