<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.

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\newtoks\jmenopraktika \newtoks\jmeno \newtoks\datum
\newtoks\obor \newtoks\rocnik \newtoks\semestr
\newtoks\cisloulohy \newtoks\jmenoulohy
\newtoks\tlak \newtoks\teplota \newtoks\vlhkost
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\jmenopraktika={FyzikĂˇlnĂ­ praktiku 3}  % nahradte jmenem vaseho predmetu
\jmeno={Radek Ĺ˝emliÄŤka}            % nahradte jmenem mericiho
\datum={19.~bĹ™ezna 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={3}               % nahradte cislem merene ulohy
\jmenoulohy={Pohyb nĂˇbojĹŻ v elektromagnetickĂ©m poli} % nahradte jmenem merene ulohy

\tlak={865}                   % nahradte tlakem pri mereni (v hPa)
\teplota={21,1}               % nahradte teplotou pri mereni (ve stupnich Celsia)
\vlhkost={69}               % nahradte vlhkosti vzduchu pri mereni (v %)

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\begin{document}

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{
\begin{center}
\sf 
{\Large FyzikĂˇlnĂ­ sekce pĹ™Ă­rodovÄ›deckĂ© fakulty Masarykovy univerzity v~BrnÄ›} \\
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{\huge \bfseries FYZIKĂLNĂŤ PRAKTIKUM} \\
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{\Large \the\jmenopraktika}
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\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:}\\
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\section{Teorie}
	Pohyb nĂˇbojĹŻ v elektromagnetickĂ©m poli byl v naĹˇem pĹ™Ă­padÄ› studovĂˇn pomocĂ­ obrazovky. JejĂ­ princip spoÄŤĂ­vĂˇ v tom, Ĺľe nechĂˇme fokusovanĂ˝ svazek elektronĹŻ dopadat na stĂ­nĂ­tko s luminoforem. ZĹ™ejmÄ› v mĂ­stech, kam elektrony dopadajĂ­ dochĂˇzĂ­ k luminiscenci. K fokusaci dochĂˇzĂ­ prostĹ™ednictvĂ­m elektrickĂ©ho,  resp. magnetickĂ©ho pole. ZaĹ™Ă­zenĂ­, kterĂ˝mi tato pole vyvolĂˇvĂˇme, nazĂ˝vĂˇme elektrostatickou, resp. magnetickou ÄŤoÄŤkou. KrĂˇtkou magnetickou ÄŤoÄŤkou nazĂ˝vĂˇme cĂ­vku, jejĂ­Ĺľ rotaÄŤnÄ› symetrickĂ© magnetickĂ© pole je upraveno tak, Ĺľe pĹŻsobĂ­ na zanedbatelnÄ› malou ÄŤĂˇst drĂˇhy nabitĂ˝ch ÄŤĂˇstic a fokusuje pĹŻvodnÄ›rozbĂ­havĂ˝ svazek do bodovĂ© stopy na stĂ­nĂ­tku. Pro ohniskovou vzdĂˇlenost $f$ krĂˇtkĂ© magnetickĂ© ÄŤoÄŤky platĂ­ vztah:

	\begin{equation}
	 f = {98 \cdot r \over n^2 } \cdot {U_a \over I^2_f}
	 \label{f}
	\end{equation}
	kde $r$ je polomÄ›r fokusaÄŤnĂ­ cĂ­vky, $n$ poÄŤet zĂˇvitu cĂ­vky, $U_a$ urychlujĂ­cĂ­ napÄ›tĂ­ a $I_f$ proud tekoucĂ­ fokusaÄŤnĂ­ cĂ­vkou. Pro urÄŤenĂ­ ohniskovĂ© vzdĂˇlenosti a ovÄ›Ĺ™enĂ­ vztahu $\ref{f}$ lze vztah $\ref{f}$ upravit na tvar:
	
	\begin{equation}
	 	U_a = {f \cdot n^2 \over 98 \cdot r} \cdot I^2_f
	\end{equation}
	

	\begin{figure}[h]
	\centering
	\includegraphics[scale=1]{obrazek.eps}
	\caption{SilovĂ© pĹŻsobenĂ­ magnetickĂ©ho pole na elektronovĂ˝ svazek. Elektrony vstupujĂ­ do do vychylovacĂ­ho pole $B$ v ÄŤase $T_0  = 0 $ a setrvajĂ­ v nÄ›m po dobu $t_1$ na drĂˇze $L_1$. Na drĂˇze $L_2$ po dobu $t_2$ jiĹľ nedochĂˇzĂ­ k vychylovĂˇnĂ­. Lorentzova sĂ­la je nulovĂˇ, drĂˇha elektronu je pĹ™Ă­mkovĂˇ.}
	\label{obrazek}
	\end{figure}
	
	PohybovĂˇ rovnice elektronu v magnetickĂ©m poli o indukci $B$ mĂˇ tvar:

	\begin{equation}
	 m \vec{a}  = -e \vec{v} \times \vec{B}
	\end{equation}

	
	VlĂ©tĂˇ-li ÄŤĂˇstice do magnetickĂ©ho pole ve smÄ›ru osy $x$ a magnetickĂ© pole pĹŻsobĂ­ ve smÄ›ru osy $z$ podle obrĂˇzku, dostaneme integracĂ­ pohybovĂ© rovnice pro vĂ˝chylku ÄŤĂˇstice ve smÄ›ru osy $y$ vztah:

	\begin{equation}
	 y = \sqrt{e \over 2mU_a}B L_1 L_2
	\end{equation}

	kde vĹˇechny veliÄŤiny odpovĂ­dajĂ­ obrĂˇzku \ref{obrazek}. 


\section{MÄ›Ĺ™enĂ­}
\subsection{}
	


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\end{document}
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