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
708 B
Markdown
31 lines
708 B
Markdown
## Effektberäkning
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Vi känner redan
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$P = U\cdot I = \dfrac{U^2}{R} = I^2\cdot R$
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<left>
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Utlöst för U:
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$U = \dfrac{P}{I} = \sqrt{P \cdot R}$
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</left>
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<right>
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Utlöst för I:
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$I = \dfrac{P}{U} = \sqrt{\dfrac{P}{R}}$
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</right>
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---
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## Effekt vid växelspänning
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* Vid växelspänning räknar man med effektivvärdet
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* $U_\text{eff} = \dfrac{\hat{U}}{\sqrt{2}}$
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---
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## Exempel
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* $U_\text{eff} = \qty{100}{\volt}$ över $\qty{50}{\ohm}$: $P = \dfrac{U^2}{R} = \qty{200}{\watt}$
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* $\qty{2}{\ampere}$ genom $\qty{50}{\ohm}$: $P = I^2 \cdot R = \qty{200}{\watt}$
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* $\qty{10}{\volt}$ över $\qty{100}{\ohm}$: $P = \qty{1}{\watt}$
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* Konstlast av 11 parallella motstånd á $\qty{5}{\watt}$: $\qty{55}{\watt}$
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