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author | Anton Luka Šijanec <anton@sijanec.eu> | 2023-03-20 23:40:22 +0100 |
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committer | Anton Luka Šijanec <anton@sijanec.eu> | 2023-03-20 23:40:22 +0100 |
commit | 665e0bddaea855613d12c79b35e8988d8155b8d3 (patch) | |
tree | 4ce950f99fb2bc0f6b80c39d19f33c6103355d79 /fiz/vaje/10/dokument.lyx | |
parent | nempredst, fiz, hpcalc, etc... (diff) | |
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-rw-r--r-- | fiz/vaje/10/dokument.lyx | 995 |
1 files changed, 995 insertions, 0 deletions
diff --git a/fiz/vaje/10/dokument.lyx b/fiz/vaje/10/dokument.lyx new file mode 100644 index 0000000..b0485c1 --- /dev/null +++ b/fiz/vaje/10/dokument.lyx @@ -0,0 +1,995 @@ +#LyX 2.3 created this file. For more info see http://www.lyx.org/ +\lyxformat 544 +\begin_document +\begin_header +\save_transient_properties true +\origin unavailable +\textclass article +\begin_preamble +\usepackage{siunitx} +\usepackage{pgfplots} +\usepackage{listings} +\usepackage{multicol} +\sisetup{output-decimal-marker = {,}, quotient-mode=fraction, output-exponent-marker=\ensuremath{\mathrm{3}}} +\end_preamble +\use_default_options true +\maintain_unincluded_children false +\language slovene +\language_package default +\inputencoding auto +\fontencoding global +\font_roman "default" "default" +\font_sans "default" "default" +\font_typewriter "default" "default" +\font_math "auto" "auto" +\font_default_family default +\use_non_tex_fonts false +\font_sc false +\font_osf false +\font_sf_scale 100 100 +\font_tt_scale 100 100 +\use_microtype false +\use_dash_ligatures true +\graphics default +\default_output_format default +\output_sync 0 +\bibtex_command default +\index_command default +\paperfontsize default +\spacing single +\use_hyperref false +\papersize default +\use_geometry true +\use_package amsmath 1 +\use_package amssymb 1 +\use_package cancel 1 +\use_package esint 1 +\use_package mathdots 1 +\use_package mathtools 1 +\use_package mhchem 1 +\use_package stackrel 1 +\use_package stmaryrd 1 +\use_package undertilde 1 +\cite_engine basic +\cite_engine_type default +\biblio_style plain +\use_bibtopic false +\use_indices false +\paperorientation portrait +\suppress_date false +\justification false +\use_refstyle 1 +\use_minted 0 +\index Index +\shortcut idx +\color #008000 +\end_index +\leftmargin 1cm +\topmargin 2cm +\rightmargin 1cm +\bottommargin 2cm +\headheight 1cm +\headsep 1cm +\footskip 1cm +\secnumdepth 3 +\tocdepth 3 +\paragraph_separation indent +\paragraph_indentation default +\is_math_indent 0 +\math_numbering_side default +\quotes_style german +\dynamic_quotes 0 +\papercolumns 1 +\papersides 1 +\paperpagestyle default +\tracking_changes false +\output_changes false +\html_math_output 0 +\html_css_as_file 0 +\html_be_strict false +\end_header + +\begin_body + +\begin_layout Title +Vsiljeno nihanje in resonanca +\end_layout + +\begin_layout Author + +\noun on +Anton Luka Šijanec +\end_layout + +\begin_layout Date +20. + marec 2023 +\end_layout + +\begin_layout Abstract +Grafi in rezultati desete vaje pri predmetu +\noun on +F41 +\noun default + na Gimnaziji Bežigrad v 4. + letniku. +\end_layout + +\begin_layout Section* +Podatki in grafi +\end_layout + +\begin_layout Standard +Izmerjena goriščna razdalja leče v prvi nalogi je +\begin_inset Formula $\SI{0,053}{\meter}$ +\end_inset + +, v drugi nalogi pa +\begin_inset Formula +\[ +f=\SI{0,0511438}{\meter}\pm\SI{0,001356}{\meter}=\SI{0,0511438}{\meter}(1\pm0,026513477684489615)\text{{.}} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Float table +placement H +wide false +sideways false +status open + +\begin_layout Plain Layout +\align center + +\lang english +\begin_inset Tabular +<lyxtabular version="3" rows="6" columns="8"> +<features tabularvalignment="middle"> +<column alignment="left" valignment="top" width="0pt"> +<column alignment="left" valignment="top" width="0pt"> +<column alignment="left" valignment="top" width="0pt"> +<column alignment="left" valignment="top" width="0pt"> +<column alignment="left" valignment="top" width="0pt"> +<column alignment="left" valignment="top" width="0pt"> +<column alignment="left" valignment="top" width="0pt"> +<column alignment="left" valignment="top" width="0pt"> +<row> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout +Št. + meritve +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +\begin_inset Formula $a+b\left[\si{\meter}\right]$ +\end_inset + + +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +\begin_inset Formula $b\left[\si{\meter}\right]$ +\end_inset + + +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +\begin_inset Formula $a\left[\si{\meter}\right]$ +\end_inset + + +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +\begin_inset Formula $a^{-1}\left[\si{\per\meter}\right]$ +\end_inset + + +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +\begin_inset Formula $b^{-1}\left[\si{\per\meter}\right]$ +\end_inset + + +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +\begin_inset Formula $f\left[\si{\meter}\right]$ +\end_inset + + +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +\begin_inset Formula $\Delta f\left[\si{\meter}\right]$ +\end_inset + + +\end_layout + +\end_inset +</cell> +</row> +<row> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,23 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,075 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,155 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +6,451613 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +13,333333 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,050543 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,0006 +\end_layout + +\end_inset +</cell> +</row> +<row> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +1 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,25 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,075 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,175 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +5,714286 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +13,333333 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,0525 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,001356 +\end_layout + +\end_inset +</cell> +</row> +<row> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +2 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,27 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,068 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,202 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +4,950495 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +14,705882 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,050874 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,00027 +\end_layout + +\end_inset +</cell> +</row> +<row> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +3 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,29 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,065 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,225 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +4,444444 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +15,384615 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,050431 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,000713 +\end_layout + +\end_inset +</cell> +</row> +<row> +<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +4 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,31 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,065 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,245 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +4,081633 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +15,384615 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,051371 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,000227 +\end_layout + +\end_inset +</cell> +</row> +</lyxtabular> + +\end_inset + + +\lang slovene + +\begin_inset Caption Standard + +\begin_layout Plain Layout +Meritve tenkega upornika +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\begin_inset Float figure +placement H +wide false +sideways false +status open + +\begin_layout Plain Layout +\align center +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +begin{tikzpicture} +\end_layout + +\begin_layout Plain Layout + + +\backslash +begin{axis}[width=0.75 +\backslash +textwidth, scale only axis, ylabel=$b$, domain=0:.4, ytick pos=left, samples=256, + xlabel=$a$, xtick pos=bottom, xmin=0, xmax=.4, ymin=-.1, ymax=.2, %grid=both +\end_layout + +\begin_layout Plain Layout + +, major grid style={dashed,blue}] +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[only marks] table [x=a, y=b, col sep=comma] {podatki.csv}; +\end_layout + +\begin_layout Plain Layout + + +\backslash +addlegendentry{meritve} +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[blue] (x, {1/(1/0.0511438-1/x)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addlegendentry{$b=(f^{-1}-a^{-1})^{-1}$} +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +% +\backslash +addplot[mark=square*, blue, only marks] table [x=u, y=i, col sep=comma] + {2.csv}; +\end_layout + +\begin_layout Plain Layout + +% +\backslash +addlegendentry{zaporedno} +\end_layout + +\begin_layout Plain Layout + +% +\backslash +addplot[blue] (x, {x*1.1889}); +\end_layout + +\begin_layout Plain Layout + +% +\backslash +addlegendentry{} +\end_layout + +\begin_layout Plain Layout + +% +\backslash +addplot[mark=diamond*, green, only marks] table [x=u, y=i, col sep=comma] + {3.csv}; +\end_layout + +\begin_layout Plain Layout + +% +\backslash +addlegendentry{vzporedno} +\end_layout + +\begin_layout Plain Layout + +% +\backslash +addplot[blue] (x, {x*5.38536}); +\end_layout + +\begin_layout Plain Layout + +% +\backslash +addlegendentry{} +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{axis} +\end_layout + +\begin_layout Plain Layout + + +\backslash +begin{axis}[width=0.75 +\backslash +textwidth, scale only axis, ylabel=$b^{-1}$, ytick pos=right, samples=256, + xlabel=$a^{-1}$, xtick pos=top, %grid=both +\end_layout + +\begin_layout Plain Layout + +, xlabel near ticks, ylabel near ticks, major grid style={dashed,red}, +\end_layout + +\begin_layout Plain Layout + +legend style={at={(0.975,0.325)}, anchor=south east}, domain=4:7, xmin=4, + xmax=6.6, ymin=13, ymax=15.6 +\end_layout + +\begin_layout Plain Layout + +] +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[mark=triangle*, red, only marks] table [x=1/a, y=1/b, col sep=comma] + {podatki.csv}; +\end_layout + +\begin_layout Plain Layout + + +\backslash +addlegendentry{meritve} +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[red] (x, {1/0.0511438-x}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addlegendentry{$b^{-1}=f^{-1}-a^{-1}$} +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{axis} +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{tikzpicture} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset Caption Standard + +\begin_layout Plain Layout +\begin_inset CommandInset label +LatexCommand label +name "fig:graf-1" + +\end_inset + + +\begin_inset Formula $b(a)$ +\end_inset + + in +\begin_inset Formula $b^{-1}(a^{-1})$ +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula $f$ +\end_inset + + je obratna vrednost neničelne komponente točke presečišča med bodisi ordinatno + bodisi abscisno osjo in premico +\begin_inset Formula $b^{-1}=f^{-1}-a^{-1}$ +\end_inset + +. + Kakršno koli odčitavanje iz strojno generiranega grafa ni smiselno, saj + je bila +\begin_inset Formula $f^{-1}$ +\end_inset + + v osnovi uporabljena za konstruiranje premice. +\end_layout + +\end_body +\end_document |