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electrical_engineering_and_electronics_1:block05 [2025/09/28 23:30] – angelegt mexleadminelectrical_engineering_and_electronics_1:block05 [2025/09/29 00:32] (aktuell) – mexleadmin
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 ===== Learning objectives ===== ===== Learning objectives =====
 +<callout>
 After this 90-minute block, you can After this 90-minute block, you can
   * reduce series/parallel resistor networks to an equivalent resistance $R_{\rm eq}$,   * reduce series/parallel resistor networks to an equivalent resistance $R_{\rm eq}$,
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   * recognize and analyze **bridge** circuits (Wheatstone; balance condition),   * recognize and analyze **bridge** circuits (Wheatstone; balance condition),
   * check results by units and by “sanity bounds” (e.g., $R_{\rm eq}$ in parallel is below the smallest branch).   * check results by units and by “sanity bounds” (e.g., $R_{\rm eq}$ in parallel is below the smallest branch).
 +</callout>
  
  
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 ~~PAGEBREAK~~ ~~CLEARFIX~~ ~~PAGEBREAK~~ ~~CLEARFIX~~
 ===== Core Content ===== ===== Core Content =====
-==== Recap (from Block 04) ==== 
-Kirchhoff’s laws on **nodes** and **loops** plus reshaping circuits are the tools behind everything in this block. The node sign rule we use: arrows **toward** the node positive, **away** negative, $\sum I=0$.  
- 
-<panel type="info" title="Dimensional check"> 
-For the **current divider** relation $\displaystyle \frac{I_1}{I_2}=\frac{G_1}{G_2}$ both sides are ratios → dimensionless. Since $[G]=1~{\rm S}$, the unit cancels. (We will re-derive it below.)  
-</panel> 
- 
-~~PAGEBREAK~~ ~~CLEARFIX~~ 
- 
 ==== Unloaded voltage divider ==== ==== Unloaded voltage divider ====
  
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 ~~PAGEBREAK~~ ~~CLEARFIX~~ ~~PAGEBREAK~~ ~~CLEARFIX~~
-<panel type="info" title="Exercise 2.5.1 unloaded voltage divider"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>+<panel type="info" title="Exercise"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
  
 <WRAP> <WRAP>
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   * Repeat until a simple ladder remains; finish with KCL/KVL if needed.    * Repeat until a simple ladder remains; finish with KCL/KVL if needed. 
  
-In this subchapter, a methodology is discussed, which should help to reshape circuits. In subchapter [[#2.6 Star-Delta-Circuit]] towards the end a network was already transformed in a way, that it does not contain triangular meshes anymore. Now, this procedure shall be systematized. +In this subchapter, a methodology is discussed, which should help to reshape circuits.  
-Starting points are tasks, where for a resistor network the total resistance, total current, or total voltage has to be calculated.+The following concept works at tasks, where the total resistance, total current, or total voltage has to be calculated for a resistor network.
  
 An example of such a circuit is given in <imgref imageNo89>. Here $I_0$ is wanted.  An example of such a circuit is given in <imgref imageNo89>. Here $I_0$ is wanted.