SuperminarenandClaude Sonnet 5.5
f7fa8cfbc1
- Sections and slides rewritten in Swedish; German law and institutions replaced by Swedish/CEPT/ITU equivalents (PTS, SSA, PTSFS 2025:1, SSMFS 2008:18), unverified statements marked "% TODO VERIFY" - New toc: INSTEG, HAREC, UPPGRADERING; section idents are Swedish (see ident-map.tsv) - Exam-question tags, BNetzA question pool, solutions and the German SWL course removed - Static pages, snippets, applets, READMEs and image alt-texts translated - TikZ labels translated; SVG drawings regenerated (drawing 689 still fails to build upstream: it references a missing photo) - Changed from the original: not endorsed by DARC e.V., SSA or PTS Co-Authored-By: Claude Sonnet 5.5 <[email protected]>
31 lines
1.0 KiB
Markdown
31 lines
1.0 KiB
Markdown
<left>
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[picture:343:a_Brückenschaltung:Typisk brokoppling med 4 motstånd]
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$\frac{R_1}{R_2} = \frac{R_3}{R_4}$
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</left>
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<right>
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* Koppling av 4 motstånd för resistansmätning
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* Två parallellkopplade spänningsdelare
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* Vid lika stora delningsförhållanden flyter ingen ström över bron
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</right>
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<note>
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Wheatstonebrygga
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</note>
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--- style="font-size: 0.7em;"
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#### Lösningsgång
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* givet: $R_1 = R_4 = \qty{1}{\kilo\ohm}$
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* givet: $R_2 = R_3 = \qty{10}{\kilo\ohm}$
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* givet: $U = \qty{11}{\volt}$
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* sökt: $U_{AB}$
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<fragment>
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$\frac{U_A}{U} = \frac{R_1}{R_1 + R_2} \Rightarrow U_A = \frac{R_1}{R_1 + R_2} \cdot U = \frac{\qty{1}{\kilo\ohm}}{\qty{1}{\kilo\ohm} + \qty{10}{\kilo\ohm}} \cdot \qty{11}{\volt} = \qty{1}{\volt}$
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</fragment>
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<fragment>
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$\frac{U_B}{U} = \frac{R_3}{R_3 + R_4} \Rightarrow U_B = \frac{R_3}{R_3 + R_4} \cdot U = \frac{\qty{10}{\kilo\ohm}}{\qty{10}{\kilo\ohm} + \qty{1}{\kilo\ohm}} \cdot \qty{11}{\volt} = \qty{10}{\volt}$
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</fragment>
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<fragment>
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$U_{AB} = U_B - U_A = \qty{10}{\volt} - \qty{1}{\volt} = \qty{9}{\volt}$
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</fragment>
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