notas-fnys/ejer_cicl.tex~

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\documentclass[12pt]{beamer}
\usetheme{Berlin}
\usepackage[utf8]{inputenc}
\usepackage[spanish]{babel}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{graphicx}
\usepackage{multimedia}
\usepackage{braket}
\usepackage{multicol}
\usepackage{tikz}
\usepackage{tikz-feynman}[compat=1.1.0]
\usetikzlibrary {arrows.meta}
\usepackage{appendixnumberbeamer}
%\setbeamerfont{page number in head}{size=\large}
%\setbeamertemplate{footline}{Diapositiva}
\setbeamertemplate{footline}[frame number]
\newcommand{\backupbegin}{
\newcounter{finalframe}
\setcounter{finalframe}{\value{framenumber}}
}
\newcommand{\backupend}{
\setcounter{framenumber}{\value{finalframe}}
}
\author{Física Nuclear y subnuclear }
\title{Ejercicio ciclotrón}
\begin{frame}{Un ejercicio}
\textbf{Ejercicio}: Determina el radio del ciclotrón necesario para acelerar $\pi^+$ a $10MeV$ si se tiene un campo magnético de $2 T$ (Teslas). Recuerda que la masa debe estar en kilogramos y la energı́a en Joules para poder usar Teslas dentro de la ecuación.
\begin{align*}
T_{max}=& \frac{(qBR)^2}{2m}\\
R =& \frac{\sqrt{2mT_{max}}}{qB}\\
R =& \frac{\sqrt{2\times(2.487\times 10^{-28}kg)\times 1.6\times 10^{-12}J}}{(1.6\times 10^{-19}C)\times (2 T)}\\
R = & 8.815\times 10^{-2}m. = 8.815 cm.
\end{align*}
\end{frame}
\begin{frame}{SLAC}
\begin{figure}[ht!]
\begin{center}
\includegraphics[width=0.7\linewidth]{slac.jpg}
\caption{El acelerador lineal SLAC. Foto tomada de internet con propósitos educativos}
\label{fig:slac}
\end{center}
\end{figure}
\end{frame}