Latest essay: MyOpenMath/Pulling loose threads Latest lesson: Phasor algebra % See special:permalink/1863398 for a wikitext version of this quiz. %[[File:Quizbankqb_{{SUBPAGENAME}}.pdf|thumb|See[[:File:Quizbankqb_{{SUBPAGENAME}}.pdf]]]] %CurrentID: {{REVISIONID}} %PDF: [[:File:Quizbankqb_{{SUBPAGENAME}}.pdf]]%Required images: [[file:Wikiversity-logo-en.svg|45px]] %This code creates both the question and answer key using \newcommand\mytest %%% EDIT QUIZ INFO HERE  %%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\quizname}{QB/c19ElectricPotentialField_GaussLaw} \newcommand{\quiztype}{conceptual}%[[Category:QB/conceptual]] %%%%% PREAMBLE%%%%%%%%%%%% \newif\ifkey %estabkishes Boolean ifkey to turn on and off endnotes \documentclass[11pt]{exam} \RequirePackage{amssymb, amsfonts, amsmath, latexsym, verbatim, xspace, setspace,datetime} \RequirePackage{tikz, pgflibraryplotmarks, hyperref} \usepackage[left=.5in, right=.5in, bottom=.5in, top=.75in]{geometry} \usepackage{endnotes, multicol,textgreek} % \usepackage{graphicx} % \singlespacing %OR \onehalfspacing OR \doublespacing \parindent 0ex % Turns off paragraph indentation \hypersetup{ colorlinks=true, urlcolor=blue} % BEGIN DOCUMENT \begin{document} \title{c19ElectricPotentialField\_GaussLaw} \author{The LaTex code that creates this quiz is released to the Public Domain\\ Attribution for each question is documented in the Appendix} \maketitle \begin{center} \includegraphics[width=0.15\textwidth]{666px-Wikiversity-logo-en.png} \\Latex markup at\\ \footnotesize{ \url{https://en.wikiversity.org/wiki/special:permalink/1863398}} \end{center} \begin{frame}{} \begin{multicols}{3} \tableofcontents \end{multicols} \end{frame} \pagebreak\section{Quiz} \keytrue \printanswers \begin{questions}\keytrue \question A cylinder of radius, R, and height H has a uniform charge density of \(\rho\). The height is much less than the radius: \(H << R\). The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if \(z>H/2\)?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi \begin{choices} \choice answer: \(\varepsilon_0 E= \rho z \) \choice answer: \(\varepsilon_0 E= H\rho \) \choice answer: \(\varepsilon_0 E= H\rho z\) \CorrectChoice answer: \(\varepsilon_0 E = H\rho /2\) \choice answer: \(\varepsilon_0 E = r\rho\) \end{choices} \question A cylinder of radius, R, and height H has a uniform charge density of \(\rho\). The height is much less than the radius: \(H << R\). The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if \(zR\)?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi \begin{choices} \choice answer: \( r^2\varepsilon_0 E=rR^2\rho /2\) \choice answer: \( r^2\varepsilon_0 E=R^3\rho /2\) \choice answer: \( r^2\varepsilon_0 E= r^3\rho/3\) \choice answer: \( r^2\varepsilon_0 E=r^3\rho /2\) \CorrectChoice answer: \( r^2\varepsilon_0 E=R^3\rho /3\) \end{choices} \question A sphere has a uniform charge density of \(\rho\), and a radius equal to R. What formula describes the electric field at a distance \(r> R\)?. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if \(r> \). The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if \(r>R\)?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi \begin{choices} \choice answer: \(2R\varepsilon_0 E= r^2\rho \) \choice answer: \(2\varepsilon_0 E = r\rho \) \CorrectChoice answer: \(2r\varepsilon_0 E = R^2\rho \) \choice answer: \(2r\varepsilon_0 E = 2R^2\rho \) \choice answer: \(2r^2\varepsilon_0 E= R^3 \rho \) \end{choices} \end{questions} \newpage \section{Attribution} \theendnotes \end{document}
{'wiki_source': 'wikiversity', 'other_info': "{'content_model': 'wikitext', 'language': 'en', 'title': 'QB/c19ElectricPotentialField GaussLaw', 'type': 'text'}"}