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| Beide Seiten der vorigen Revision Vorhergehende Überarbeitung Nächste Überarbeitung | Vorhergehende Überarbeitung | ||
| electrical_engineering_and_electronics_1:block01 [2025/09/28 14:40] – mexleadmin | electrical_engineering_and_electronics_1:block01 [2025/09/29 21:52] (aktuell) – mexleadmin | ||
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| Zeile 3: | Zeile 3: | ||
| ===== Learning objectives ===== | ===== Learning objectives ===== | ||
| < | < | ||
| + | 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. | ||
| Zeile 69: | Zeile 70: | ||
| * 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 " | * BUT: The obsolete pressure 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. | ||
| Zeile 119: | Zeile 120: | ||
| <WRAP half column> | <WRAP half column> | ||
| <callout color=" | <callout color=" | ||
| + | |||
| ==== Quantity Equations ==== | ==== 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 $1$. | ||
| Zeile 253: | Zeile 255: | ||
| ===== Exercises ===== | ===== Exercises ===== | ||
| - | ==== Worked example(s) ==== | ||
| - | < | + | |
| - | **1) Unit check (quantity equation): | + | ==== Quick checks ==== |
| - | Show that $P=U\cdot I$ has unit watt. | + | |
| + | # | ||
| + | # | ||
| + | |||
| + | Show that $P=U\cdot I$ has unit watt. (Better to be calulcated after reading Block02) | ||
| + | |||
| + | # | ||
| - $[U]=\rm{V}=\rm{kg}\, | - $[U]=\rm{V}=\rm{kg}\, | ||
| - $[P]=[U][I]=\rm{kg}\, | - $[P]=[U][I]=\rm{kg}\, | ||
| - | </ | + | # |
| + | # | ||
| - | < | + | # |
| - | **2) Prefix conversion: | + | # |
| - | $3.3~\rm{mA}=3.3\times10^{-3}~\rm{A}=3300~\rm{\mu A}$. | + | |
| - | </ | + | |
| - | < | + | How much energy is needed to lift 100 kg for 2 meters? |
| - | **3) Work from lifting (quantity equation): | + | |
| - | $W=mgs$ with $m=100~\rm{kg}, | + | |
| - | $W=100\cdot9.81\cdot2~\rm{Nm}=1962~\rm{J}$. | + | |
| - | </ | + | |
| - | ==== Quick checks ==== | + | # |
| + | - $W=mgs$ with $m=100~\rm{kg}, | ||
| + | - $W=100\cdot9.81\cdot2~\rm{Nm}=1962~\rm{J}$ | ||
| + | # | ||
| + | # | ||
| # | # | ||
| Zeile 280: | Zeile 286: | ||
| Convert $47~\rm{k\Omega}$ to $\rm{M\Omega}$ and $\Omega$. | Convert $47~\rm{k\Omega}$ to $\rm{M\Omega}$ and $\Omega$. | ||
| - | # | + | # |
| $47~\rm{k\Omega}=0.047~\rm{M\Omega}=47{, | $47~\rm{k\Omega}=0.047~\rm{M\Omega}=47{, | ||
| # | # | ||
| Zeile 300: | Zeile 306: | ||
| Which is larger: $5~\rm{mA}$ or $4500~\rm{\mu A}$? | Which is larger: $5~\rm{mA}$ or $4500~\rm{\mu A}$? | ||
| - | # | + | # |
| $5~\rm{mA}=5000~\rm{\mu A}$, so $5~\rm{mA}$ is larger. | $5~\rm{mA}=5000~\rm{\mu A}$, so $5~\rm{mA}$ is larger. | ||
| Zeile 311: | Zeile 317: | ||
| True/False: $1~\rm{V}=1~\rm{Nm/ | True/False: $1~\rm{V}=1~\rm{Nm/ | ||
| - | # | + | # |
| True (from $W=U \cdot Q$). | True (from $W=U \cdot Q$). | ||
| # | # | ||