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authorAnton Luka Šijanec <anton@sijanec.eu>2023-03-20 23:40:22 +0100
committerAnton Luka Šijanec <anton@sijanec.eu>2023-03-20 23:40:22 +0100
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@@ -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
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+\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
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+<features tabularvalignment="middle">
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+<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
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+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
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+\end_layout
+
+\end_inset
+</cell>
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+\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
+
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+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
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+\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
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+\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
+
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+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