From 697711e4d2dba17a8477e87b4e20af9db070c369 Mon Sep 17 00:00:00 2001 From: "nazarchuk.as" Date: Thu, 29 Dec 2022 21:48:27 +0300 Subject: [PATCH] l --- Automation/ChartWindow.py | 21 +- Automation/Main.py | 9 +- Automation/Manual/Manual.log | 411 +++++++++--------- Automation/Manual/Manual.pdf | Bin 234375 -> 245580 bytes Automation/Manual/Manual.synctex.gz | Bin 42196 -> 42128 bytes .../__pycache__/ChartWindow.cpython-39.pyc | Bin 5297 -> 5431 bytes .../Main_experiment_window.cpython-39.pyc | Bin 0 -> 7049 bytes .../ResistanceWindow.cpython-39.pyc | Bin 3561 -> 3506 bytes Automation/try_exp_cu/Chart.png | Bin 152086 -> 153720 bytes Automation/try_exp_cu/Graduation_chart.png | Bin 150762 -> 138032 bytes Automation/try_exp_cu/Results.txt | 6 +- Automation/try_exp_polu/Chart.png | Bin 212116 -> 197750 bytes Automation/try_exp_polu/Results.txt | 8 +- ВПВ/Chart.png | Bin 0 -> 197750 bytes ВПВ/Graduation_chart.png | Bin 0 -> 150762 bytes ВПВ/Teor.png | Bin 0 -> 38905 bytes ВПВ/corob.png | Bin 0 -> 472349 bytes ВПВ/ВПВ.aux | 52 +++ ВПВ/ВПВ.dvi | Bin 0 -> 36420 bytes ВПВ/ВПВ.out | 5 + ВПВ/ВПВ.pdf | Bin 0 -> 3208700 bytes ВПВ/ВПВ.synctex.gz | Bin 0 -> 33756 bytes ВПВ/ВПВ.tex | 266 ++++++++++++ ВПВ/Мостик.png | Bin 0 -> 17582 bytes ВПВ/Старая.png | Bin 0 -> 11795 bytes ВПВ/Схема_ст.png | Bin 0 -> 23228 bytes ВПВ/Установка.png | Bin 0 -> 50521 bytes ВПВ/новая_картинка.png | Bin 0 -> 535926 bytes ВПВ/старая_картинка.png | Bin 0 -> 65945 bytes ВПВ/ферро.png | Bin 0 -> 2699 bytes 30 files changed, 547 insertions(+), 231 deletions(-) create mode 100644 Automation/__pycache__/Main_experiment_window.cpython-39.pyc create mode 100644 ВПВ/Chart.png create mode 100644 ВПВ/Graduation_chart.png create mode 100644 ВПВ/Teor.png create mode 100644 ВПВ/corob.png create mode 100644 ВПВ/ВПВ.aux create mode 100644 ВПВ/ВПВ.dvi create mode 100644 ВПВ/ВПВ.out create mode 100644 ВПВ/ВПВ.pdf create mode 100644 ВПВ/ВПВ.synctex.gz create mode 100644 ВПВ/ВПВ.tex create mode 100644 ВПВ/Мостик.png create mode 100644 ВПВ/Старая.png create mode 100644 ВПВ/Схема_ст.png create mode 100644 ВПВ/Установка.png create mode 100644 ВПВ/новая_картинка.png create mode 100644 ВПВ/старая_картинка.png create mode 100644 ВПВ/ферро.png diff --git a/Automation/ChartWindow.py b/Automation/ChartWindow.py index 5deffc1..e749fe3 100644 --- a/Automation/ChartWindow.py +++ b/Automation/ChartWindow.py @@ -66,7 +66,7 @@ class ChartWindow(AbstractWindow): self.hbox_layout.addWidget(self.text, 0, 1) def B(self, x, b, c, d): - return x**2*b+x*c+d + return 0*x**2*b+x*c+d def make_grad(self): @@ -77,12 +77,12 @@ class ChartWindow(AbstractWindow): self.parent.folder, self.parent.flow_dataname)) self.parent.data_grad.read_csv() self.parent.data_grad.x = np.array( - self.parent.data_grad.data['I_M,mA']) - self.parent.data_grad.y = np.array(self.parent.data_grad.data['B,mTl']) + self.parent.data_grad.data['I_M,mA'])[-10:] + self.parent.data_grad.y = np.array(self.parent.data_grad.data['B,mTl'])[-10:] self.parent.data_grad.xlabel = 'I$_M$,mA' self.parent.data_grad.ylabel = 'B,mTl' - self.parent.data_grad.xerr = 0.0035/100*self.parent.data_grad.x - self.parent.data_grad.yerr = 0.05*self.parent.data_grad.y + self.parent.data_grad.xerr = 0.0035/100*self.parent.data_grad.x[-10:] + self.parent.data_grad.yerr = 0.05*self.parent.data_grad.y[-10:] plt.figure(dpi=500, figsize=(8, 5)) self.parent.data_grad.make_point_grafic() @@ -90,6 +90,7 @@ class ChartWindow(AbstractWindow): self.B, self.parent.data_grad.x/1000, self.parent.data_grad.y/10**3) sigma = abs(np.sqrt(np.diag(sigma))/a) eps = (np.min(sigma)**2+(0.0035/100)**2+0.02**2)**0.5 + print('fit',eps) x_range = np.arange(min(self.parent.data_grad.x), max(self.parent.data_grad.x), step=0.001) y_fit = self.B(x_range/1000, a[0], a[1], a[2])*10**3 @@ -106,17 +107,17 @@ class ChartWindow(AbstractWindow): self.parent.data_main.read_csv() h = self.parent.a - e = np.array((self.parent.data_main.data['U_34,mV'] - - self.parent.data_main.data['U_0,mV'])/10**3) + e = -np.array((self.parent.data_main.data['U_34,mV'] - + self.parent.data_main.data['U_0,mV'])*10**3) print(e) b = np.array( self.B(self.parent.data_main.data['I_M,mA']/10**3, a[0], a[1], a[2])) - print(b) + print('i ',self.parent.data_main.data['I_0,mA']) eds = chr(949) self.parent.data_main.x = np.array( self.parent.data_main.data['I_0,mA']*b) self.parent.data_main.y = e - self.parent.data_main.ylabel = eds+'$_x$, V' + self.parent.data_main.ylabel = eds+'$_x$, мкV' self.parent.data_main.xlabel = 'I$_{обр} \cdot B$, мА$\cdot $ Tл' self.parent.data_main.make_grafic() self.parent.data_main.xerr = abs( @@ -124,6 +125,8 @@ class ChartWindow(AbstractWindow): self.parent.data_main.yerr = abs(5*10**-5*self.parent.data_main.y) self.parent.data_main.through_0 = 0 k, b1, sigma = self.parent.data_main.make_grafic() + k = k * 10**-6 + sigma[0]*=10**-6 self.parent.R_H = k*h self.parent.sigma_R_H = self.parent.R_H*sigma[0]/k diff --git a/Automation/Main.py b/Automation/Main.py index 2db2567..35af367 100644 --- a/Automation/Main.py +++ b/Automation/Main.py @@ -119,10 +119,11 @@ class StartWindow(AbstractWindow): self.setWindowTitle('Эффект Холла в полупроводниках') self.parent = parent - self.parent.a = 2/10**3 - self.parent.l = 4/10**3 - self.parent.L = 5/10**3 - self.parent.sigma = 4469 + self.parent.a = 0.05/10**3 + self.parent.l = 7.5/10**3 + self.parent.L = 8/10**3 + self.parent.sigma = 6103401*7.5/8 + self.parent.sigma_sigma = 373 self.parent.dataname = 'data.csv' self.centralwidget = QWidget() diff --git a/Automation/Manual/Manual.log b/Automation/Manual/Manual.log index 874a662..f086213 100644 --- a/Automation/Manual/Manual.log +++ b/Automation/Manual/Manual.log @@ -1,74 +1,76 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.22 (MiKTeX 21.6) (preloaded format=pdflatex 2021.8.13) 9 DEC 2022 16:35 +This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=pdflatex 2022.11.26) 28 DEC 2022 20:32 entering extended mode -**./Manual.tex -(Manual.tex -LaTeX2e <2021-06-01> -L3 programming layer <2021-06-01> -(C:\Program Files\MiKTeX\tex/latex/base\article.cls -Document Class: article 2021/02/12 v1.4n Standard LaTeX document class -(C:\Program Files\MiKTeX\tex/latex/base\size12.clo -File: size12.clo 2021/02/12 v1.4n Standard LaTeX file (size option) + restricted \write18 enabled. + %&-line parsing enabled. +**Manual.tex +(./Manual.tex +LaTeX2e <2021-11-15> patch level 1 +L3 programming layer <2022-01-21> +(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls +Document Class: article 2021/10/04 v1.4n Standard LaTeX document class +(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo +File: size12.clo 2021/10/04 v1.4n Standard LaTeX file (size option) ) -\c@part=\count182 -\c@section=\count183 -\c@subsection=\count184 -\c@subsubsection=\count185 -\c@paragraph=\count186 -\c@subparagraph=\count187 -\c@figure=\count188 -\c@table=\count189 +\c@part=\count185 +\c@section=\count186 +\c@subsection=\count187 +\c@subsubsection=\count188 +\c@paragraph=\count189 +\c@subparagraph=\count190 +\c@figure=\count191 +\c@table=\count192 \abovecaptionskip=\skip47 \belowcaptionskip=\skip48 \bibindent=\dimen138 ) -(C:\Program Files\MiKTeX\tex/latex/graphics\graphicx.sty -Package: graphicx 2020/12/05 v1.2c Enhanced LaTeX Graphics (DPC,SPQR) +(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +Package: graphicx 2021/09/16 v1.2d Enhanced LaTeX Graphics (DPC,SPQR) -(C:\Program Files\MiKTeX\tex/latex/graphics\keyval.sty +(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty Package: keyval 2014/10/28 v1.15 key=value parser (DPC) \KV@toks@=\toks16 ) -(C:\Program Files\MiKTeX\tex/latex/graphics\graphics.sty +(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty Package: graphics 2021/03/04 v1.4d Standard LaTeX Graphics (DPC,SPQR) -(C:\Program Files\MiKTeX\tex/latex/graphics\trig.sty -Package: trig 2016/01/03 v1.10 sin cos tan (DPC) +(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +Package: trig 2021/08/11 v1.11 sin cos tan (DPC) ) -(C:\Program Files\MiKTeX\tex/latex/graphics-cfg\graphics.cfg +(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) Package graphics Info: Driver file: pdftex.def on input line 107. -(C:\Program Files\MiKTeX\tex/latex/graphics-def\pdftex.def +(/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def File: pdftex.def 2020/10/05 v1.2a Graphics/color driver for pdftex )) \Gin@req@height=\dimen139 \Gin@req@width=\dimen140 ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/wrapfig\wrapfig.sty +(/usr/share/texlive/texmf-dist/tex/latex/wrapfig/wrapfig.sty \wrapoverhang=\dimen141 \WF@size=\dimen142 -\c@WF@wrappedlines=\count190 +\c@WF@wrappedlines=\count193 \WF@box=\box50 \WF@everypar=\toks17 Package: wrapfig 2003/01/31 v 3.6 ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/t2\mathtext.sty -Package: mathtext 2018/04/13 v1.1 transparent text-and-math defs -LaTeX Info: Redefining \halign on input line 119. +(/usr/share/texlive/texmf-dist/tex/latex/t2/mathtext.sty +Package: mathtext 2018/04/14 v1.0 transparent text-and-math defs +LaTeX Info: Redefining \halign on input line 121. ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/geometry\geometry.sty +(/usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty Package: geometry 2020/01/02 v5.9 Page Geometry -(C:\Program Files\MiKTeX\tex/generic/iftex\ifvtex.sty +(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. 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Reported on input line 102. Package babel Info: Hyphen rules for 'australian' set to \l@ukenglish -(babel) (\language73). Reported on input line 105. +(babel) (\language34). Reported on input line 105. Package babel Info: Hyphen rules for 'newzealand' set to \l@ukenglish -(babel) (\language73). Reported on input line 108. +(babel) (\language34). Reported on input line 108. ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/babel-russian\russianb.ldf +(/usr/share/texlive/texmf-dist/tex/generic/babel-russian/russianb.ldf File: russianb.ldf 2021/01/10 1.3m Russian support for the Babel system Language: russian 2020/09/09 1.3k Russian support for the Babel system Package babel Info: Making " an active character on input line 124. Package babel Info: Default for \cyrdash is provided on input line 163. )) -(C:\Program Files\MiKTeX\tex/latex/amsmath\amsmath.sty -Package: amsmath 2021/04/20 v2.17j AMS math features +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +Package: amsmath 2021/10/15 v2.17l AMS math features \@mathmargin=\skip50 For additional information on amsmath, use the `?' option. -(C:\Program Files\MiKTeX\tex/latex/amsmath\amstext.sty -Package: amstext 2000/06/29 v2.01 AMS text +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +Package: amstext 2021/08/26 v2.01 AMS text -(C:\Program Files\MiKTeX\tex/latex/amsmath\amsgen.sty +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks21 \ex@=\dimen156 )) -(C:\Program Files\MiKTeX\tex/latex/amsmath\amsbsy.sty +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen157 ) -(C:\Program Files\MiKTeX\tex/latex/amsmath\amsopn.sty -Package: amsopn 2016/03/08 v2.02 operator names +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +Package: amsopn 2021/08/26 v2.02 operator names ) -\inf@bad=\count272 +\inf@bad=\count275 LaTeX Info: Redefining \frac on input line 234. -\uproot@=\count273 -\leftroot@=\count274 +\uproot@=\count276 +\leftroot@=\count277 LaTeX Info: Redefining \overline on input line 399. -\classnum@=\count275 -\DOTSCASE@=\count276 +\classnum@=\count278 +\DOTSCASE@=\count279 LaTeX Info: Redefining \ldots on input line 496. LaTeX Info: Redefining \dots on input line 499. LaTeX Info: Redefining \cdots on input line 620. @@ -526,15 +516,15 @@ LaTeX Font Info: Redeclaring font encoding OML on input line 743. \symOMLletters=\mathgroup7 LaTeX Font Info: Redeclaring font encoding OMS on input line 744. \symOMSletters=\mathgroup8 -\macc@depth=\count277 -\c@MaxMatrixCols=\count278 +\macc@depth=\count280 +\c@MaxMatrixCols=\count281 \dotsspace@=\muskip17 -\c@parentequation=\count279 -\dspbrk@lvl=\count280 +\c@parentequation=\count282 +\dspbrk@lvl=\count283 \tag@help=\toks22 -\row@=\count281 -\column@=\count282 -\maxfields@=\count283 +\row@=\count284 +\column@=\count285 +\maxfields@=\count286 \andhelp@=\toks23 \eqnshift@=\dimen159 \alignsep@=\dimen160 @@ -546,10 +536,10 @@ LaTeX Font Info: Redeclaring font encoding OMS on input line 744. \multlinegap=\skip51 \multlinetaggap=\skip52 \mathdisplay@stack=\toks25 -LaTeX Info: Redefining \[ on input line 2923. -LaTeX Info: Redefining \] on input line 2924. +LaTeX Info: Redefining \[ on input line 2938. +LaTeX Info: Redefining \] on input line 2939. ) -(C:\Program Files\MiKTeX\tex/latex/amsfonts\amsfonts.sty +(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup9 \symAMSb=\mathgroup10 @@ -557,10 +547,10 @@ LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. ) -(C:\Program Files\MiKTeX\tex/latex/amsfonts\amssymb.sty +(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/amscls\amsthm.sty +(/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks26 \thm@bodyfont=\toks27 @@ -572,30 +562,26 @@ Package: amsthm 2020/05/29 v2.20.6 \thm@headsep=\skip55 \dth@everypar=\toks31 ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/mathtools\mathtools.sty -Package: mathtools 2021/04/12 v1.27 mathematical typesetting tools +(/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty +Package: mathtools 2021/02/02 v1.28 mathematical typesetting tools -(C:\Program Files\MiKTeX\tex/latex/tools\calc.sty +(/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty Package: calc 2017/05/25 v4.3 Infix arithmetic (KKT,FJ) -\calc@Acount=\count284 -\calc@Bcount=\count285 +\calc@Acount=\count287 +\calc@Bcount=\count288 \calc@Adimen=\dimen165 \calc@Bdimen=\dimen166 \calc@Askip=\skip56 \calc@Bskip=\skip57 LaTeX Info: Redefining \setlength on input line 80. LaTeX Info: Redefining \addtolength on input line 81. -\calc@Ccount=\count286 +\calc@Ccount=\count289 \calc@Cskip=\skip58 ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/mathtools\mhsetup.sty +(/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty Package: mhsetup 2021/03/18 v1.4 programming setup (MH) ) -LaTeX Info: Thecontrolsequence`\('isalreadyrobust on input line 130. -LaTeX Info: Thecontrolsequence`\)'isalreadyrobust on input line 130. -LaTeX Info: Thecontrolsequence`\['isalreadyrobust on input line 130. -LaTeX Info: Thecontrolsequence`\]'isalreadyrobust on input line 130. -\g_MT_multlinerow_int=\count287 +\g_MT_multlinerow_int=\count290 \l_MT_multwidth_dim=\dimen167 \origjot=\skip59 \l_MT_shortvdotswithinadjustabove_dim=\dimen168 @@ -607,7 +593,7 @@ LaTeX Info: Thecontrolsequence`\]'isalreadyrobust on input line 130. \xmathstrut@box=\box53 \xmathstrut@dim=\dimen174 ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/titlesec\titlesec.sty +(/usr/share/texlive/texmf-dist/tex/latex/titlesec/titlesec.sty Package: titlesec 2021/07/05 v2.14 Sectioning titles \ttl@box=\box54 \beforetitleunit=\skip60 @@ -619,17 +605,18 @@ Package: titlesec 2021/07/05 v2.14 Sectioning titles \titlewidthlast=\dimen178 \titlewidthfirst=\dimen179 ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/wasysym\wasysym.sty +(/usr/share/texlive/texmf-dist/tex/latex/wasysym/wasysym.sty Package: wasysym 2020/01/19 v2.4 Wasy-2 symbol support package \symwasy=\mathgroup11 LaTeX Font Info: Overwriting symbol font `wasy' in version `bold' (Font) U/wasy/m/n --> U/wasy/b/n on input line 93. ) -(C:\Program Files\MiKTeX\tex/latex/l3backend\l3backend-pdftex.def -File: l3backend-pdftex.def 2021-05-07 L3 backend support: PDF output (pdfTeX) -\l__color_backend_stack_int=\count288 +(/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +File: l3backend-pdftex.def 2022-01-12 L3 backend support: PDF output (pdfTeX) +\l__color_backend_stack_int=\count291 \l__pdf_internal_box=\box55 -) (Manual.aux) +) +(./Manual.aux) \openout1 = `Manual.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 35. @@ -652,26 +639,28 @@ LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. LaTeX Font Info: Checking defaults for T2A/cmr/m/n on input line 35. LaTeX Font Info: ... okay on input line 35. -(C:\Program Files\MiKTeX\tex/context/base/mkii\supp-pdf.mkii + +(/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] -\scratchcounter=\count289 +\scratchcounter=\count292 \scratchdimen=\dimen180 \scratchbox=\box56 -\nofMPsegments=\count290 -\nofMParguments=\count291 +\nofMPsegments=\count293 +\nofMParguments=\count294 \everyMPshowfont=\toks33 -\MPscratchCnt=\count292 +\MPscratchCnt=\count295 \MPscratchDim=\dimen181 -\MPnumerator=\count293 -\makeMPintoPDFobject=\count294 +\MPnumerator=\count296 +\makeMPintoPDFobject=\count297 \everyMPtoPDFconversion=\toks34 -) (C:\Program Files\MiKTeX\tex/latex/epstopdf-pkg\epstopdf-base.sty +) (/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 85. -(C:\Program Files\MiKTeX\tex/latex/00miktex\epstopdf-sys.cfg -File: epstopdf-sys.cfg 2021/03/18 v2.0 Configuration of epstopdf for MiKTeX +(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv +e )) *geometry* driver: auto-detecting *geometry* detected driver: pdftex @@ -708,22 +697,22 @@ File: epstopdf-sys.cfg 2021/03/18 v2.0 Configuration of epstopdf for MiKTeX * (1in=72.27pt=25.4mm, 1cm=28.453pt) Package hyperref Info: Link coloring ON on input line 35. -(C:\Program Files\MiKTeX\tex/latex/hyperref\nameref.sty +(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty Package: nameref 2021-04-02 v2.47 Cross-referencing by name of section -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/refcount\refcount.sty +(/usr/share/texlive/texmf-dist/tex/latex/refcount/refcount.sty Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO) ) -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/generic/gettitlestring\gettitlestring -.sty +(/usr/share/texlive/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO) ) -\c@section@level=\count295 +\c@section@level=\count298 ) LaTeX Info: Redefining \ref on input line 35. LaTeX Info: Redefining \pageref on input line 35. LaTeX Info: Redefining \nameref on input line 35. - (Manual.out) (Manual.out) + +(./Manual.out) (./Manual.out) \@outlinefile=\write3 \openout3 = `Manual.out'. @@ -731,7 +720,7 @@ LaTeX Info: Redefining \th on input line 35. LaTeX Font Info: Trying to load font information for T2A+cmss on input line 38. -(C:\Users\anna\AppData\Roaming\MiKTeX\tex/latex/cyrillic\t2acmss.fd +(/usr/share/texlive/texmf-dist/tex/latex/cyrillic/t2acmss.fd File: t2acmss.fd 2001/08/11 v1.0a Computer Modern Cyrillic font definitions ) LaTeX Font Info: Trying to load font information for PD1+cmr on input line 4 @@ -755,7 +744,7 @@ LaTeX Font Warning: Font shape `T2A/cmr/m/up' undefined LaTeX Font Info: Trying to load font information for OML+cmr on input line 4 9. -(C:\Program Files\MiKTeX\tex/latex/base\omlcmr.fd +(/usr/share/texlive/texmf-dist/tex/latex/base/omlcmr.fd File: omlcmr.fd 2019/12/16 v2.5j Standard LaTeX font definitions ) @@ -770,7 +759,7 @@ LaTeX Font Info: Font shape `OML/cmr/m/up' in size <6> not available (Font) Font shape `OML/cmm/m/it' tried instead on input line 49. LaTeX Font Info: Trying to load font information for OMS+cmr on input line 4 9. -(C:\Program Files\MiKTeX\tex/latex/base\omscmr.fd +(/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd File: omscmr.fd 2019/12/16 v2.5j Standard LaTeX font definitions ) @@ -785,27 +774,27 @@ LaTeX Font Info: Font shape `OMS/cmr/m/up' in size <6> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 49. 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+\usepackage[utf8]{inputenc} % кодировка исходного текста +\usepackage[english,russian]{babel} % локализация и переносы +\addto\captionsrussian{\def\refname{Список используемой литературы}} + + +% Математика +\usepackage{amsmath,amsfonts,amssymb,amsthm,mathtools} +\usepackage{titlesec} +\titlelabel{\thetitle.\quad} + +\usepackage{wasysym} + +\author{Анна Назарчук Б02-109} +\title{Вопрос по выбору. Эффект Холла, автоматизация лабораторной работы и ферромагнетики. + +\textcolor[gray]{0.4}{(Винни-Пух и все-все-все)}} +\date{} +\begin{document} +\maketitle +\section{Цели} +Провести эксперимент по исследованию ЭДС Холла, уменьшить погрешности результатов за счет автоматизации работы, возможно, найти новые качества в работе. + +\section{Теория про эффект Холла} + +Во внешнем магнитном поле $B$ на заряды действует сила Лоренца: +\begin{equation} +F = qE+qu\times B +\end{equation} + +Эта сила вызывает движение носителей, направление которого в общем +случае не совпадает с $E$. Действительно, траектории частиц будут либо +искривляться, либо, если геометрия проводника этого не позволяет, +возникнет дополнительное электрическое поле, компенсирующее магнитную +составляющую силы Лоренца. Возникновение поперечного току +электрического поля в образце, помещённом во внешнее магнитное поле, +называют \textsf{эффектом Холла}. + +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.46\textwidth]{Teor} +\caption{Силы, действующие на положительный носитель заряда в проводящей +среде при наличии магнитного поля} \label{силы} +\end{center} +\end{figure} + +Пусть система содержит носители только одного типа (например, +электроны, как в большинстве металлов). Рассмотрим случай плоской геометрии: пусть ток течёт вдоль оси $x$, а магнитное поле направлено вдоль оси $x$ (см. рис. \ref{силы}). Магнитное поле действует на движущиеся заряды с силой $F_y=-qu_xB_z$ по оси $y$. Ток сможет +течь строго вдоль оси $x$, если заряды в среде перераспределятся таким +образом, чтобы полностью скомпенсировать магнитную силу, создав в +направлении $y$ электрическое поле: +\begin{equation} +\label{E_y} +E_y=u_xB_z=\dfrac{j_x}{nq}B_z +\end{equation} +называемое \textsf{холловским} (здесь $n$ — концентрация носителей). По оси +$x$ носители будут двигаться так, как если бы магнитного поля не было: +$j_x=\sigma_0 E_x (j_y = j_z = 0)$, где $\sigma_0 = qn\mu$ — удельная проводимость среды в отсутствие $B$. + +Для исследования зависимости проводимости среды от магнитного +поля в данной работе используется \textsf{мостик Холла} (рис. \ref{мостик}). +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.46\textwidth]{Мостик} +\caption{Схема для исследования влияния магнитного поля на проводящие +свойства - мостик Холла} \label{мостик} +\end{center} +\end{figure} +В данной схеме ток вынуждают +течь по оси $x$ вдоль плоской пластинки (ширина пластинки $a$, толщина $h$, +длина $l$). Сила Лоренца, действующая со стороны перпендикулярного +пластинке магнитного поля, «прибивает» носители заряда к краям образца, +что создаёт холловское электрическое поле, компенсирующее эту +силу. Поперечное напряжение между краями пластинки (\textsf{холловское +напряжение}) равно $U_\perp = E_ya$, где, согласно уравнению (\ref{E_y}): +\begin{equation} +E_y=u_xB_z=\dfrac{j_x}{nq}B +\end{equation} +Плотность тока, текущего через образец, равна $j_x=I/ah$, где $I$ — полный +ток, $ah$ — поперечное сечение. Таким образом, для холловского напряжения +имеем +\begin{equation} +\label{формула} +U_\perp = \frac{B}{nqh}\cdot I=R_H\cdot \frac{B}{h}\cdot I, +\end{equation} +где константу +\begin{equation} +R_H = \frac{1}{nq} +\end{equation} +называют \textsf{постоянной Холла}. Знак постоянной Холла определяется +знаком заряда носителей. +Продольная напряжённость электрического поля равна +\begin{equation} +E_x=j_x/\sigma_0 +\end{equation} +и падение напряжения $U_\parallel = E_x l$ вдоль пластинки определяется омическим +сопротивлением образца $R_0 = l/(\sigma_0 a h)$: +\begin{equation} +U_\parallel = IR_0 +\end{equation} + + + +\section{Автоматизация} + +\subsection*{Методика существующей работы} +Схема представлена на рис. \ref{старая}. +Работа состояла из 4 частей: + +Калибровка электромагнита: здесь определяется зависимость магнитной индукции в зазоре электромагнита от тока через магнит. + +Измерение ЭДС Холла – определяется разность потенциалов на образце при различных значениях силы тока через электромагнит и образец. + +Определение знака носителей – делаются выводы о характере проводимости по направлениям тока. + +Измерение удельной проводимости – на образец подается небольшое напряжение, измеряется ток через него. +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.66\textwidth]{Схема_ст} +\caption{Схема лабораторной работы для исследования эффекта Холла} \label{старая} +\end{center} +\end{figure} + + +\subsection*{Проблемы у существующей работы} +У данной работы есть недостатки, основные содержатся в первых двух частях работы. + +\textbf{Градуировка электромагнита}. Каждое измерение необходимо записать в лабораторный журнал. Это достаточно трудоемко, поэтому получается малое количество. Из-за этого у градуировочных коэффициентов возникают высокие погрешности. + +\textbf{Измерение ЭДС Холла}. Измерение тока через образец реализовано с помощью аналогового амперметра с высокой погрешностью. Также невозможно регулировать изменение тока через образец, так как осуществляется при помощи реостата без шкалы. И опять же малое количество измерений из-за высокой трудоемкости. + + + +\subsection*{Обновленный вариант} +Схема обновленной работы представлена на рис. \ref{новая}. Изменения на схемы выделены цветом: все, возможные для подключения, приборы соединены с компьютером. Связь с ними осуществляется при помощи USB-портов. Данные с приборов сохраняются в файлы. Каждая из частей лабораторной представлена в виде отдельного окна в программном обеспечении. Добавлена часть с автоматическим построением графиков и вычислением постоянных образца. Заменены некоторые приборы: аналоговый амперметр на цифровой, батарейка с реостатом без шкалы на программируемый источник питания. + +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.76\textwidth]{Установка} +\caption{Обновленная схема лабораторной работы для исследования эффекта Холла} \label{новая} +\end{center} +\end{figure} + +Кроме схемы установки изменения видны и на фотографиях (рис. \ref{старое_фото}, \ref{новое_фото}). + + +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.85\textwidth]{старая_картинка} +\caption{Фотография установки по исследованию эффекта Холла, исходный вариант)} \label{старое_фото} +\end{center} +\end{figure} + +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.85\textwidth]{новая_картинка} +\caption{Фотография установки по исследованию эффекта Холла, обновленный вариант)} \label{новое_фото} +\end{center} +\end{figure} + + +У обновленного варианта есть свои преимущества: + +1) Автоматическое получение данных понижает трудоемкость измерений и позволяет сделать большее их число. Из-за этого повышается точность постоянных образца. + +2) Также аналоговый амперметр заменен более точным цифровым и добавлен источник питания образца с возможность регулировки тока. + +3) Есть автоматический контроль чрезмерно больших токов через образец, что предотвращает его повреждение. + +4) Появилась возможность сделать выводы о работе сразу из-за компьютерной обработки результатов. + + + +\subsection*{Результаты автоматизации} +Лабораторная работа была выполнена на исходной установке и на автоматизированной. Результаты в виде зависимости ЭДС Холла от тока через образец представлены на рис. \ref{старый_график} и рис. \ref{новый_график}. +Изменения заметны. Во-первых, количество точек значительно выросло: с 50 до 200, то есть в 4 раза. Во-вторых, погрешности отдельных точек уменьшились: только за счет смены амперметра в 300 раз. В-третьих, погрешность коэффицента наклона прямой уменьшилась в более чем 3 раза (с 11 \% до 3). + +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.86\textwidth]{Старая} +\caption{Зависимость ЭДС Холла от тока через образец и магнитной индукции в исходном варианте работы} \label{старый_график} +\end{center} +\end{figure} + +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.78\textwidth]{Chart} +\caption{Зависимость ЭДС Холла от тока через образец и магнитной индукции в обновленном варианте работы} \label{новый_график} +\end{center} +\end{figure} + +\subsection*{Новое качество} +Однако в процессе измерений было обнаружено, что зависимость магнитного поля в электромагните от тока через него не линейна (рис. \ref{grad}). + +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.78\textwidth]{Graduation_chart} +\caption{Зависимость магнитной индукции в зазоре электромагнита от тока через него} \label{grad} +\end{center} +\end{figure} +Но из теоремы о циркуляции магнитного поля (в системе СГС): +\begin{equation} +\oint_L H \cdot dl =\frac{4\pi}{c}J +\end{equation} +Видно, что ток и напряженность магнитного поля связаны прямой пропорциональностью. То есть есть нелинейная зависимость $B$ от $H$ в электромагните. + +Существуют вещества трех типов: пара-, диа- и ферромагнетики. Однако для первых двух зависимость $B$ от $H$ линейна. Из чего следует, что электромагнит создан из ферромагнитного материала (таковым является, например, железо). + +Теперь интересно сравнить полученную зависимость с теоретической ( в форме графика на рис. \ref{фер}. Они, как и ожидалось, подобны друг другу, что подтверждает материал электромагнита. + +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.38\textwidth]{ферро} +\caption{Теоретическая зависимость магнитной индукции от напряженности магнитного поля для ферромагнетика} \label{фер} +\end{center} +\end{figure} + + +\section{Проблемы} +\subsection*{Неавтоматизированные части} +На текущий момент работа не является полностью автоматизированной. Это не получилось в данном семестре, так как не было высоковольтного источника питания и измерителя магнитной индукции с возможностью программирования. Еще есть проблема с подключением в виде коробки (рис. \ref{коробка}). Но изменить ее было невозможным, так как установку каждый раз необходимо было возвращать в исходное состояние. + +\begin{figure}[h!] +\begin{center} +\includegraphics[width=0.68\textwidth]{corob} +\caption{Блок управления лабораторной работой} \label{коробка} +\end{center} +\end{figure} + +\subsection*{Неудавшиеся измерения} +Были предприняты попытки обнаружить эффект Холла в металлах, использую то же оборудование. Однако в металлах постоянная Холла $R_H \approx 10^{-10}$, толщина образца порядка сотых долей миллиметра, пропускаемый допустимый ток около 1 мА, магнитная индукция около 1 Тл. Поэтому (из формулы \ref{формула}) измеряемое напряжение было бы порядка $10^{-9}$ В, предел вольтметра при этом - десятые доли мкВ. Поэтому измерения не привели ни к чему хорошему. + + +\section{Выводы} + +\hspace{5mm} 1. Получение данных напрямую с приборов увеличило скорость работы + +2. Автоматизация и замена аналоговых приборов сделали работу существенно точнее + +3. Благодаря автоматизации удалось достаточно быстро получить зависимость магнитной индукции от тока в электромагните, сделать вывод о ферромагнетизме материала. + +4. Однако есть и проблемы, но их решение существует. + + +\end{document} \ No newline at end of file diff --git a/ВПВ/Мостик.png b/ВПВ/Мостик.png new file mode 100644 index 0000000000000000000000000000000000000000..4814560a890c1cc2fd3829979e40fbe5a78e337a GIT binary patch literal 17582 zcmbunbySq$*EWg;(vm|7k_HH(bSfdBfFLE^odZe?F(TapA~7`5-8FQKfRuDd!+2Y6-i^c~H}yk=6sfZ_ z`q!ATNA3eAriB|P8{*PZQt8PO@1&$eB-0);F(s!Bkdct|E3F0v2AV(Gmy&9KK@J0# zQsaq|kn9rpB?kt&`u`7?Tg2Y!lE91lP9RaO4PnaKQQml@iR*WGZU*mFU(lN7+hio* zjGh&Hz_cKbC)(v-c)T*xS+n2a6S%f3Wac$M9GgSEhyMbyjk#mmfl<@uO8zhF_KYLmwqLt4g)=lEX;T7iGt5ux9CHJ!z(H-?xg9 z7v^AEV8Ro{9lT+qU5br(pVCobAL@*@90(4qiI8|Fv3Q0{8+#df%0gMXxt`%YBgnKM zQTI{K;;^p`SsalirVLLGtce8|e*N+z<+~B%875dwCZoG!h$tkmCKSBC^UzDDjBfq7 z!b`FOnfmz?xDi`&SX5>7g}u2={w6`P<4h$$dK&#GOA2MQvH5a&H<%vIJm(O8F$K~-_V_-`SL)71j@ge z$eI22lGI+`oq>&BwzDq@lB&e0_y*_6w|A}ne@2vBHSR*fXaf4{zNx5W2iAoD$0B+W z|FM)vo4}wT!IOI=N6P<`9qExzmKx)*$;W+G%U7R}k&^Nyhbb>i**A4Ot)Bj}x7?HA 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