\documentclass[10pt]{article} \usepackage{graphicx, multicol,wrapfig,exscale,epsfig,fancybox,fullpage} \pagestyle{empty} \parindent=0pt \parskip=.1in \newcommand\hs{\hspace{6pt}} \begin{document} \centerline{\bf Lorentz Force and the Work Done on a Rectangular Loop of Current} \bigskip A rectangular loop of current-carrying wire has current $I$, length $l$, and width $w$. \bigskip \centerline{\includegraphics[scale=0.9]{splorentzloop}} \bigskip The loop is placed at an angle $\theta$ to the horizontal in a uniform magnetic field, where $\vec{B}$ is in the $\hat{z}$-direction. \bigskip \centerline{\includegraphics[scale=0.9]{splorentzdiagram}} \medskip \begin{enumerate} \item Find the direction of the force on each piece of the wire.\\ \item Calculate the force on the right side of the wire (where $I$ is into the page).\\ \item Find the net force on the whole wire.\\ \item Calculate the work you need to do to rotate the wire from $\theta=-{\pi \over 2}$ to some angle $\theta_0$. \end{enumerate} \vfill \leftline{\it by Mary Bridget Kustusch \& Corinne Manogue} \leftline{\copyright 2012 Corinne A. Manogue} \end{document}