<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">% Hlavicka pro protokoly z fyzikalniho praktika.
% Verze pro: LaTeX
% Verze hlavicky: 22. 2. 2007
% Autor: Ustav fyziky kondenzovanych latek
% Ke stazeni: www.physics.muni.cz/ufkl/Vyuka/
% Licence: volne k pouziti, nejlepe k vcasnemu odevzdani protokolu z Vaseho mereni.

\documentclass[a4paper,11pt]{article}
\usepackage[dvips]{graphics}
\usepackage{multicol}


% Kodovani (cestiny) v dokumentu: (doporucujeme UTF-8).
\usepackage[utf8]{inputenc}	% Doporucujeme pouzivat UTF-8 (unicode).
%\usepackage[cp1250]{inputenc}	% Omezena stredoevropska kodova stranka, pouze MSW.

%%% Nemente:
\usepackage[margin=2cm]{geometry}
\newtoks\jmenopraktika \newtoks\jmeno \newtoks\datum
\newtoks\obor \newtoks\rocnik \newtoks\semestr
\newtoks\cisloulohy \newtoks\jmenoulohy
\newtoks\tlak \newtoks\teplota \newtoks\vlhkost
%%% Nemente - konec.


%%%%%%%%%%% Doplnte pozadovane polozky:

\jmenopraktika={FyzikĂˇlnĂ­ praktiku 2}  % nahradte jmenem vaseho predmetu
\jmeno={Radek Ĺ˝emliÄŤka}            % nahradte jmenem mericiho
\datum={22.~Ĺ™Ă­jna 2009}        % nahradte datem mereni ulohy
\obor={F}                     % nahradte zkratkou vami studovaneho oboru
\rocnik={II}                  % nahradte rocnikem, ve kterem studujete
\semestr={IV}                 % nahradte semestrem, ve kterem studujete
\cisloulohy={1}               % nahradte cislem merene ulohy
\jmenoulohy={Studium elektromagnetickĂ© indukce} % nahradte jmenem merene ulohy

\tlak={855}                   % nahradte tlakem pri mereni (v hPa)
\teplota={21,5}               % nahradte teplotou pri mereni (ve stupnich Celsia)
\vlhkost={65}               % nahradte vlhkosti vzduchu pri mereni (v %)

%%%%%%%%%%% Konec pozadovanych polozek.


%%%%%%%%%%% Uzitecne balicky:
\usepackage[czech]{babel}
\usepackage{graphicx}
\usepackage{amsmath}
\usepackage{xspace}
\usepackage{url}
\usepackage{indentfirst}

%%%%%% Zamezeni parchantu:
\widowpenalty 10000 \clubpenalty 10000 \displaywidowpenalty 10000
%%%%%% Parametry pro moznost vsazeni vetsiho poctu obrazku na stranku
\setcounter{topnumber}{3}	  % max. pocet floatu nahore (specifikace t)
\setcounter{bottomnumber}{3}	  % max. pocet floatu dole (specifikace b)
\setcounter{totalnumber}{6}	  % max. pocet floatu na strance celkem
\renewcommand\topfraction{0.9}	  % max podil stranky pro floaty nahore
\renewcommand\bottomfraction{0.9} % max podil stranky pro floaty dole
\renewcommand\textfraction{0.1}	  % min podil stranky, ktery musi obsahovat text
\intextsep=8mm \textfloatsep=8mm  %\intextsep pro ulozeni [h] floatu a \textfloatsep pro [b] or [t]

% Tecky za cisly sekci:
% \renewcommand{\thesection}{\arabic{section}.}
% \renewcommand{\thesubsection}{\thesection\arabic{subsection}.}
% Jednopismenna mezera mezi cislem a nazvem kapitoly:
\makeatletter \def\@seccntformat#1{\csname the#1\endcsname\hspace{1ex}} \makeatother


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Zacatek dokumentu
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{document}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Nemente:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\thispagestyle{empty}

{
\begin{center}
\sf 
{\Large FyzikĂˇlnĂ­ sekce pĹ™Ă­rodovÄ›deckĂ© fakulty Masarykovy univerzity v~BrnÄ›} \\
\bigskip
{\huge \bfseries FYZIKĂLNĂŤ PRAKTIKUM} \\
\bigskip
{\Large \the\jmenopraktika}
\end{center}

\bigskip

\sf
\noindent
\setlength{\arrayrulewidth}{1pt}
\begin{tabular*}{\textwidth}{@{\extracolsep{\fill}} l l}
\large {\bfseries Zpracoval:}  \the\jmeno &amp; \large  {\bfseries NamÄ›Ĺ™eno:} \the\datum\\[2mm]
\large  {\bfseries Obor:} \the\obor  \hspace{5mm}  %{\bfseries RoÄŤnĂ­k:} \the\rocnik 
\hspace{5mm} %{\bfseries Semestr:} \the\semestr  
&amp;\large {\bfseries TestovĂˇno:}\\
\\
\hline
\end{tabular*}
}

\bigskip

{
\sf
\noindent \begin{tabular}{p{3cm} p{0.6\textwidth}}
\Large  Ăšloha ÄŤ. {\bfseries \the\cisloulohy:} \par
\smallskip
$T=\the\teplota$~$^\circ$C \par
$p=\the\tlak$~hPa \par
$\varphi=\the\vlhkost$~\%
&amp;\Large \bfseries \the\jmenoulohy  \\[2mm]
\end{tabular}
}

\vskip1cm

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% konec Nemente.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Zacatek textu vlastniho protokolu
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{PrĹŻbÄ›h indukovanĂ˝ch napÄ›ĹĄovĂ˝ch pulzĹŻ}
\subsection{Teorie a zpĹŻsob mÄ›Ĺ™enĂ­}
MÄ›nĂ­-li se magnetickĂ˝ tok $\Phi$ prochĂˇzejĂ­cĂ­ plochou smyÄŤky, indukuje se na smyÄŤce napÄ›tĂ­ podle Faradayova zĂˇkona:
\begin{equation}
 U = -\frac{d \Phi}{dt}
\end{equation}
K indukci mÄ›Ĺ™itelnĂ©ho napÄ›ĹĄovĂ©ho pulzu dochĂˇzĂ­, pokud se magnet pohybuje  v blĂ­zkosti snĂ­macĂ­ cĂ­vky.  Princip experimentu zobrazuje obrĂˇzek $\ref{obrazek}$.

\begin{figure}[ht]
	\centering
	\includegraphics[scale=0.6]{obrazek.eps}
	\caption{SchĂ©ma experimentĂˇlnĂ­ho uspoĹ™ĂˇdĂˇnĂ­}
	\label{obrazek}
\end{figure}
Magnet tedy nechĂˇvĂˇme kmitat zpĹŻsobem, kterĂ˝ je zobrazen na obrĂˇzku $\ref{obrazek}$, pĹ™iÄŤemĹľ vĹľdy prolĂ©tĂˇvĂˇ cĂ­vkou.  DĂ­ky tomu mĹŻĹľeme na cĂ­vce namÄ›Ĺ™it napÄ›ĹĄovĂ˝ pulz, podobnĂ˝, jako na obrĂˇzku $\ref{pulz}$.

\begin{figure}[ht]
	\centering
	\includegraphics[scale=0.7]{pulz.eps}
	\caption{NapÄ›tĂ­ indukovanĂ© v kruhovĂ©m zĂˇvitu}
	\label{pulz}
\end{figure}

Pro amplitudu napÄ›tĂ­ $U_{\max}$ platĂ­:
\begin{equation}
 U_{\max} \approx v_{\max}
\end{equation}
kde $v_{\max}$ je maximĂˇlnĂ­ rychlost magnetu pro kterou platĂ­ $v_{\max} \sim \vartheta_{\max}$, kde $\vartheta_{\max} \sim \Delta t^{-1}$

Ăškolem je namÄ›Ĺ™it sadu napÄ›ĹĄovĂ˝ch pluzĹŻ  a potvrdit, Ĺľe:
\begin{equation}
 U_{\max} \sim \Delta t^{-1}
\end{equation}

\subsection{MÄ›Ĺ™enĂ­}


MÄ›Ĺ™enĂ­ shrnuje tabulka $\ref{tab-pulz}$ a graf na obrĂˇzku $\ref{graf1}$.
\begin{table}[ht]
 	\begin{center}
    	\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
$t_1[s]$&amp;$U'_{\min} [V]$&amp;$t_2[s]$&amp;$U'_{\max} [V]$&amp;$\Delta t [s]$&amp;$U_{\max}$&amp;$\Delta t^{-1} [s^{-1}]$\\
\hline
0,5809	&amp;-0,260	&amp;0,6076	&amp;0,250	&amp;0,0267	&amp;0,255	&amp;37,45\\
0,4795	&amp;-0,090	&amp;0,5663	&amp;0,084	&amp;0,0868	&amp;0,087	&amp;11,52\\
0,5868	&amp;-0,112	&amp;0,6440	&amp;0,110	&amp;0,0572	&amp;0,111	&amp;17,48\\
0,7080	&amp;-0,136	&amp;0,7581	&amp;0,129	&amp;0,0501	&amp;0,133	&amp;19,96\\
0,1041	&amp;-0,199	&amp;0,1404	&amp;0,201	&amp;0,0363	&amp;0,200	&amp;27,55\\
0,6430	&amp;-0,280	&amp;0,6673	&amp;0,279	&amp;0,0243	&amp;0,280	&amp;41,15\\
0,5467	&amp;-0,290	&amp;0,5700	&amp;0,283	&amp;0,0233	&amp;0,287	&amp;42,92\\
0,6119	&amp;-0,064	&amp;0,7217	&amp;0,059	&amp;0,1098	&amp;0,062	&amp;9,11\\
0,4122	&amp;-0,092	&amp;0,4856	&amp;0,089	&amp;0,0734	&amp;0,091	&amp;13,62\\
0,4684	&amp;-0,180	&amp;0,5041	&amp;0,177	&amp;0,0357	&amp;0,179	&amp;28,01\\
\hline
\end{tabular}
 \caption{MÄ›Ĺ™enĂ­ napÄ›ĹĄovĂ˝ch pulzĹŻ. $U_{\max}  = \frac{U'_{\max} + |U'_{\min}|}{2}$}   
 \label{tab-pulz}
  \end{center}
\end{table}
\begin{figure}[ht]
	\centering
	\includegraphics[scale=0.7, angle=-90]{graf1.eps}
	\caption{Graf zĂˇ vislosti napÄ›tĂ­ na pĹ™evrĂˇcenĂ©ho ÄŤasu $\Delta t$.}
	\label{graf1}
\end{figure}
\clearpage

\section{TlumenĂ­ pohubu magnetu}
\subsection{Teorie a zpĹŻsob mÄ›Ĺ™enĂ­}
KmitavĂ˝ pohyb magnetu je ve skuteÄŤnosti tlumenĂ˝. Projevuje se tlumenĂ­ jak mechanickĂ©, tak elektromagnetickĂ©.  Projevuje-li se pouze mechanickĂ© tlumenĂ­, pak platĂ­:
\begin{equation}
 \vartheta_{\max}(t) \sim e^{-\beta t} 
\end{equation}
kde $\beta$ je koeficient Ăştlumu.

Projevuje-li se naopak pouze elektromagnetickĂ© tlumenĂ­, pak platĂ­:
\begin{equation}
 \vartheta_{\max}(t) =  \vartheta_{\max}(0) - \alpha t
\end{equation}
kde $\alpha$ je koeficient Ăştlumu nepĹ™Ă­mo mÄ›rnĂ˝ zatÄ›ĹľovacĂ­mu odporu.

Byla mÄ›Ĺ™ena ÄŤasovĂˇ zĂˇvislost $U_{\max}$ ($U_{\max} \sim \vartheta_{\max}$) Pro nÄ›kolik hodnot zatÄ›ĹľovacĂ­ho odporu.

\subsection{MÄ›Ĺ™enĂ­}
 


\end{document}

</pre></body></html>