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electrical_engineering_and_electronics_1:block01 [2025/09/28 15:48] – mexleadminelectrical_engineering_and_electronics_1:block01 [2026/01/19 10:53] (aktuell) – mexleadmin
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-====== Block 01 — Physical quantities and SI system ======+====== Block 01 — Physical Quantities and SI System ======
  
-===== Learning objectives =====+===== 1.0 Intro ===== 
 + 
 +==== 1.0.1 Learning Objectives ====
 <callout> <callout>
 +After this 90-minute block, you can
   * Use the SI base quantities, units, and symbols correctly; convert between units with prefixes.   * Use the SI base quantities, units, and symbols correctly; convert between units with prefixes.
   * Distinguish base vs. derived quantities; express key EE units (e.g. $\rm V$, $\rm \Omega$) in SI base units.   * Distinguish base vs. derived quantities; express key EE units (e.g. $\rm V$, $\rm \Omega$) in SI base units.
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 </callout> </callout>
  
-===== 90-minute plan =====+==== 1.0.2 90-minute plan ====
   - Warm-up (10 min):    - Warm-up (10 min): 
     - “What is the unit of conductivity? of energy?”      - “What is the unit of conductivity? of energy?” 
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   - Wrap-up (5 min): Summary table; common pitfalls checklist.   - Wrap-up (5 min): Summary table; common pitfalls checklist.
  
-===== Conceptual overview =====+==== 1.0.3 Conceptual overview ====
 <callout icon="fa fa-lightbulb-o" color="blue"> <callout icon="fa fa-lightbulb-o" color="blue">
   - Units are the grammar of engineering and physics.    - Units are the grammar of engineering and physics. 
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   </callout>   </callout>
  
-===== Core content =====+===== 1.1 Core Content =====
  
-==== SI base quantities and units ====+==== 1.1.1 SI Base Quantities and Units ====
 <WRAP right 50%> <WRAP right 50%>
 <tabcaption baseSI| SI base quantities (SI) > <tabcaption baseSI| SI base quantities (SI) >
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 ~~PAGEBREAK~~ ~~CLEARFIX~~ ~~PAGEBREAK~~ ~~CLEARFIX~~
-==== Common derived quantities ====+==== 1.1.2 Common derived Quantities ====
  
   * Besides the basic quantities, there are also quantities derived from them, e.g. $[F] = [m]\cdot [a] \rightarrow 1~{\rm N} = 1 ~{\rm kg} \cdot {{1 ~{\rm m}}\over{1 ~{\rm s}^2}}$.   * Besides the basic quantities, there are also quantities derived from them, e.g. $[F] = [m]\cdot [a] \rightarrow 1~{\rm N} = 1 ~{\rm kg} \cdot {{1 ~{\rm m}}\over{1 ~{\rm s}^2}}$.
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     * The pressure unit bar (${\rm bar}$) is an SI unit.     * The pressure unit bar (${\rm bar}$) is an SI unit.
     * BUT: The obsolete pressure unit "Standard atmosphere" ($=1.013~{\rm bar}$) is **__not__** an SI unit.     * BUT: The obsolete pressure unit "Standard atmosphere" ($=1.013~{\rm bar}$) is **__not__** an SI unit.
-  *  To prevent the numerical value from becoming too large or too small, it is possible to replace a decimal factor with a prefix. These are listed in <tabref tab02>.+  *  To prevent the numerical value from becoming too large or too small, it is possible to replace a decimal factor with a prefix. 
  
 We will see, that a lot of electrical quantities are derived quantities. We will see, that a lot of electrical quantities are derived quantities.
  
-==== Prefixes ====+==== 1.1.3 Prefixes ====
 <WRAP right 50%> <WRAP right 50%>
 <tabcaption prefix1 | Prefixes I> <tabcaption prefix1 | Prefixes I>
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 ~~PAGEBREAK~~ ~~CLEARFIX~~ ~~PAGEBREAK~~ ~~CLEARFIX~~
-==== Physical equations ====+==== 1.1.4 Physical Equations ====
  
   * Physical equations allow a connection of physical quantities.   * Physical equations allow a connection of physical quantities.
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 <WRAP half column> <WRAP half column>
 <callout color="gray"> <callout color="gray">
-==== Quantity Equations ====+ 
 +==== 1.1.5 Quantity Equations ====
 The vast majority of physical equations result in a physical unit that does not equal $1$. The vast majority of physical equations result in a physical unit that does not equal $1$.
 \\ \\ \\ \\
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 <callout color="gray"> <callout color="gray">
  
-==== normalized Quantity Equations ====+==== 1.1.6 Normalized Quantity Equations ====
  
 In normalized quantity equations, the measured value or calculated value of a quantity equation is divided by a reference value. In normalized quantity equations, the measured value or calculated value of a quantity equation is divided by a reference value.
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 </callout> </callout>
  
-==== Letters for physical quantities ====+==== 1.1.7 Letters for physical Quantities ====
 <WRAP right 50%> <WRAP right 50%>
 <tabcaption tab03| greek letters > <tabcaption tab03| greek letters >
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 ~~PAGEBREAK~~ ~~CLEARFIX~~ ~~PAGEBREAK~~ ~~CLEARFIX~~
  
-==== Notation & units ====+==== 1.1.8 Notation & Units ====
 The course consistently uses the following symbols, units, and typical values: The course consistently uses the following symbols, units, and typical values:
  
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 </tabcaption> </tabcaption>
  
-===== Common pitfalls & misconceptions =====+===== 1.2 Common Pitfalls & Misconceptions =====
   * **Case matters:** $\rm M$ (mega, $10^6$) vs. $\rm m$ (milli, $10^{-3}$);   * **Case matters:** $\rm M$ (mega, $10^6$) vs. $\rm m$ (milli, $10^{-3}$);
   * **Micro symbol:** use $\rm \mu$ (or ''u'' only when typing constraints exist);    * **Micro symbol:** use $\rm \mu$ (or ''u'' only when typing constraints exist); 
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   * **Normalized vs. quantity equations:** dimensionless ratios should cancel units; if not, something’s wrong.    * **Normalized vs. quantity equations:** dimensionless ratios should cancel units; if not, something’s wrong. 
  
-===== Exercises =====+===== 1.3 Exercises =====