50ohm-contents-dl/contents/slides/frekvensnoggrannhet.md at 7c420b241bcdc3da597bdf4fe15f85df277dcf05

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SuperminarenandClaude Sonnet 5.5 f7fa8cfbc1 Swedish adaptation: Instegscertifikat and HAREC content

- 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]>

2026-10-10 15:03:03 +02:00

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Noggrannhet hos frekvenser och mätområden

Noggrannhet anges i \unit{\percent} (t.ex. {1 \cdot \num{10^{-2}}}) eller i parts per million (\qty{1}{\ppm} = {1 \cdot \num{10^{-6}}})
Ibland anges den direkt i exponentialskrivsätt, t.ex. {1 \cdot \num{10^{-7}}}
Den angivna noggrannheten multipliceras med frekvensen för att beräkna möjlig avvikelse hos mätvärden eller visningar

Anmärkning om omräkning/skrivsätt för tiopotenser:

1 \cdot \num{10^{-2}} = \frac{1}{\num{10^2}} 1 \cdot \num{10^{-6}} = \frac{1}{\num{10^6}} osv.

Exempel 1

given: f = \qty{435}{\mega\hertz}
sökt: \qty{1}{\ppm} av f

$\qty{435}{\mega\hertz} \cdot \frac{1}{\num{10^6}} = \frac{435\cdot \qty{\cancel{10^6}}{\hertz}}{\cancel{\num{10^6}}} = \qty{435}{\hertz}$ --- #### Exempel 2 * given: $f = \qty{145}{\mega\hertz}$ * given: avvikelse $= \qty{10}{\ppm}$ * sökt: $f_{\mathrm{min}}, f_{\mathrm{max}}$ $\begin{split}\Delta f &= \qty{145}{\mega\hertz} \cdot \frac{10}{10^6}\\ &= \frac{145\cdot \qty{\cancel{10^6}}{\hertz} \cdot 10}{\cancel{10^6}}\\ &= \qty{1450}{\hertz}\end{split}$ $\begin{split}f_{\mathrm{min}} &= f\,-\,\Delta f\\ &= \qty{145}{\mega\hertz}\,-\,\qty{1450}{\hertz}\\ &= \qty{144,99855}{\mega\hertz}\end{split}$ $\begin{split}f_{\mathrm{max}} &= f\,+\,\Delta f\\ &= \qty{145}{\mega\hertz}\,+\,\qty{1450}{\hertz}\\ &= \qty{145,00145}{\mega\hertz}\end{split}$ --- #### Exempel 3 * given: $f = \qty{29}{\mega\hertz}$ * given: avvikelse $= \qty{0,01}{\percent}$ * sökt: $\Delta f$ $\begin{split}\Delta f &= \qty{29}{\mega\hertz} \cdot \qty{0,01}{\percent}\\ &= 29\cdot \qty{\cancel{10^6}}{\hertz} \cdot 100\cdot \cancel{\num{10^{-6}}}\\ &= \qty{2900}{\hertz}\end{split}$

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Noggrannhet hos frekvenser och mätområden

Exempel 1

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Raw Blame History