# QB/c19ElectricPotentialField GaussLaw

< QB Play media
8 min video

I just made a video that is available in three places:
3-c:File:Open Quizbank Proposal First.webm
Lake Campus Symposium: Creating a bank so students won't break the bank
https://bitbucket.org/Guy_vandegrift/qbwiki/wiki/Home/
The conversion to LaTeX should make this bank more compatible with VLEs
Quizbank - Quizbank/Python/LaTex - Category:QB/LaTeXpdf - QB - edit news
Students with minimal Python skills can now write numerical questions

% See special:permalink/1863398 for a wikitext version of this quiz.

### LaTexMarkup begin

%

%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
% 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\\
\end{center}
\begin{frame}{}
\begin{multicols}{3}
\tableofcontents
\end{multicols}
\end{frame}
\pagebreak\section{Quiz}
\keytrue
\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 $$z<H/2$$?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi
\begin{choices}
\choice answer:  $$\varepsilon_0 E = H\rho /2$$
\choice answer:  $$\varepsilon_0 E= \rho z/2$$
\CorrectChoice answer:  $$\varepsilon_0 E= \rho z$$
\choice answer:  $$\varepsilon_0 E= H\rho$$
\choice answer:  $$\varepsilon_0 E= H\rho z$$
\end{choices}

\question A sphere has a uniform charge density of $$\rho$$, and a radius or R.  What formula describes the electric field at a distance $$r>R$$?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi
\begin{choices}
\choice answer:  $$r^2\varepsilon_0 E=rR^2\rho /2$$
\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 $$r<R$$?\ifkey\endnote{ placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863398}}}\fi
\begin{choices}
\choice answer:  $$r^2\varepsilon_0 E=r^3\rho /2$$
\choice answer:  $$r^2\varepsilon_0 E=R^3\rho /3$$
\choice answer:  $$r^2\varepsilon_0 E=Rr^2\rho /3$$
\CorrectChoice answer:  $$r^2\varepsilon_0 E=r^3\rho /3$$
\choice answer:  $$r^2\varepsilon_0 E=R^3\rho /2$$
\end{choices}

\question A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$.  The height is much greater than the radius: $$H >> R$$?. 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:  $$2r\varepsilon_0 E = R^2\rho$$
\CorrectChoice answer:  $$2\varepsilon_0 E = r\rho$$
\choice answer:  $$2\varepsilon_0 E = R\rho$$
\choice answer:  $$2r^2\varepsilon_0 E= R^3 \rho$$
\end{choices}

\question A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$.  The height is much greater than the radius: $$H >>$$. 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
\end{document}