QB/c22Magnetism ampereLawSymmetry
< QB
The enrollment key for each course is 123. They are all is set to practice mode, giving students unlimited attempts at each question. Instructors can also print out copies of the quiz for classroom use. If you have any problems leave a message at user talk:Guy vandegrift.
- Latest essay: MyOpenMath/Pulling loose threads
- Latest lesson: Phasor algebra
- Quizbank now resides on MyOpenMath at https://www.myopenmath.com (although I hope Wikiversity can play an important role in helping students and teachers use these questions!)
- At the moment, most of the physics questions have already been transferred. To see them, join myopenmath.com as a student, and "enroll" in one or both of the following courses:
- Quizbank physics 1 (id 60675)
- Quizbank physics 2 (id 61712)
- Quizbank astronomy (id 63705)
% See special:permalink/1863400 for a wikitext version of this quiz.
LaTexMarkup begin
edit%[[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/c22Magnetism_ampereLawSymmetry}
\newcommand{\quiztype}{numerical}%[[Category:QB/numerical]]
%%%%% 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{c22Magnetism\_ampereLawSymmetry}
\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/1863400}}
\end{center}
\begin{frame}{}
\begin{multicols}{3}
\tableofcontents
\end{multicols}
\end{frame}
\pagebreak\section{Quiz}
\keytrue
\printanswers
\begin{questions}
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.7)\) to the point \((6.7,0)\).\ifkey\endnote{c22Magnetism\_ampereLawSymmetry\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863400}}}\fi
\begin{choices}
\choice 9.10E+00 amps
\choice 9.98E+00 amps
\choice 1.09E+01 amps
\CorrectChoice 1.20E+01 amps
\choice 1.32E+01 amps
\end{choices}
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.1, 6.1)\) to the point \((6.1, 6.1)\).\ifkey\endnote{c22Magnetism\_ampereLawSymmetry\_2 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863400}}}\fi
\begin{choices}
\choice 1.27E+01 amps
\choice 1.39E+01 amps
\choice 1.53E+01 amps
\CorrectChoice 1.68E+01 amps
\choice 1.84E+01 amps
\end{choices}
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 84A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.3)\) to the point \((9.3,9.3)\).\ifkey\endnote{c22Magnetism\_ampereLawSymmetry\_3 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863400}}}\fi
\begin{choices}
\CorrectChoice 1.05E+01 amps
\choice 1.15E+01 amps
\choice 1.26E+01 amps
\choice 1.38E+01 amps
\choice 1.52E+01 amps
\end{choices}
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 81A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,6.4)\) to \((+\infty ,6.4)\).\ifkey\endnote{c22Magnetism\_ampereLawSymmetry\_4 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863400}}}\fi
\begin{choices}
\choice 3.37E+01 amps
\choice 3.69E+01 amps
\CorrectChoice 4.05E+01 amps
\choice 4.44E+01 amps
\choice 4.87E+01 amps
\end{choices}
\end{questions}
\newpage
\section{Renditions} %%% Renditions %%%%
\subsection{}%%%% subsection 1
\begin{questions} %%%%%%% begin questions
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 52A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.5)\) to the point \((7.5,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.19E+01 amps
\CorrectChoice 1.30E+01 amps
\choice 1.43E+01 amps
\choice 1.56E+01 amps
\choice 1.71E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 78A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.6)\) to the point \((4.6,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.62E+01 amps
\choice 1.78E+01 amps
\CorrectChoice 1.95E+01 amps
\choice 2.14E+01 amps
\choice 2.34E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 83A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.4)\) to the point \((7.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.89E+01 amps
\CorrectChoice 2.08E+01 amps
\choice 2.28E+01 amps
\choice 2.49E+01 amps
\choice 2.74E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.4)\) to the point \((8.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 8.44E+00 amps
\CorrectChoice 9.25E+00 amps
\choice 1.01E+01 amps
\choice 1.11E+01 amps
\choice 1.22E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.4)\) to the point \((6.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 2.10E+01 amps
\CorrectChoice 2.30E+01 amps
\choice 2.52E+01 amps
\choice 2.77E+01 amps
\choice 3.03E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 87A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.3)\) to the point \((9.3,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.18E+01 amps
\choice 2.38E+01 amps
\choice 2.61E+01 amps
\choice 2.87E+01 amps
\choice 3.14E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 47A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9)\) to the point \((9,0)\).
\begin{choices} %%%%%%% begin choices
\choice 8.91E+00 amps
\choice 9.77E+00 amps
\choice 1.07E+01 amps
\CorrectChoice 1.18E+01 amps
\choice 1.29E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 55A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.7)\) to the point \((8.7,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.38E+01 amps
\choice 1.51E+01 amps
\choice 1.65E+01 amps
\choice 1.81E+01 amps
\choice 1.99E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.1)\) to the point \((7.1,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.30E+01 amps
\choice 2.52E+01 amps
\choice 2.77E+01 amps
\choice 3.03E+01 amps
\choice 3.32E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 40A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.7)\) to the point \((6.7,0)\).
\begin{choices} %%%%%%% begin choices
\choice 8.32E+00 amps
\choice 9.12E+00 amps
\CorrectChoice 1.00E+01 amps
\choice 1.10E+01 amps
\choice 1.20E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 54A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,5.4)\) to the point \((5.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 9.34E+00 amps
\choice 1.02E+01 amps
\choice 1.12E+01 amps
\choice 1.23E+01 amps
\CorrectChoice 1.35E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.3)\) to the point \((9.3,0)\).
\begin{choices} %%%%%%% begin choices
\choice 9.98E+00 amps
\choice 1.09E+01 amps
\CorrectChoice 1.20E+01 amps
\choice 1.32E+01 amps
\choice 1.44E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.1)\) to the point \((4.1,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.28E+01 amps
\choice 1.40E+01 amps
\choice 1.54E+01 amps
\choice 1.69E+01 amps
\CorrectChoice 1.85E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.3)\) to the point \((7.3,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.28E+01 amps
\choice 2.49E+01 amps
\choice 2.74E+01 amps
\choice 3.00E+01 amps
\choice 3.29E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.4)\) to the point \((8.4,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.63E+01 amps
\choice 1.78E+01 amps
\choice 1.95E+01 amps
\choice 2.14E+01 amps
\CorrectChoice 2.35E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 63A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.6)\) to the point \((4.6,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.31E+01 amps
\choice 1.44E+01 amps
\CorrectChoice 1.58E+01 amps
\choice 1.73E+01 amps
\choice 1.89E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 43A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.1)\) to the point \((7.1,0)\).
\begin{choices} %%%%%%% begin choices
\choice 8.15E+00 amps
\choice 8.94E+00 amps
\choice 9.80E+00 amps
\CorrectChoice 1.08E+01 amps
\choice 1.18E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 99A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.2)\) to the point \((6.2,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.48E+01 amps
\choice 2.71E+01 amps
\choice 2.98E+01 amps
\choice 3.26E+01 amps
\choice 3.58E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 85A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.8)\) to the point \((9.8,0)\).
\begin{choices} %%%%%%% begin choices
\choice 1.77E+01 amps
\choice 1.94E+01 amps
\CorrectChoice 2.13E+01 amps
\choice 2.33E+01 amps
\choice 2.55E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 40A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.6)\) to the point \((6.6,0)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.00E+01 amps
\choice 1.10E+01 amps
\choice 1.20E+01 amps
\choice 1.32E+01 amps
\choice 1.45E+01 amps
%\pagebreak
\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 2
\begin{questions} %%%%%%% begin questions
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 96A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.6, 6.6)\) to the point \((6.6, 6.6)\).
\begin{choices} %%%%%%% begin choices
\choice 1.82E+01 amps
\choice 2.00E+01 amps
\choice 2.19E+01 amps
\CorrectChoice 2.40E+01 amps
\choice 2.63E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.6, 9.6)\) to the point \((9.6, 9.6)\).
\begin{choices} %%%%%%% begin choices
\choice 1.73E+01 amps
\choice 1.89E+01 amps
\choice 2.07E+01 amps
\CorrectChoice 2.28E+01 amps
\choice 2.49E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-5.7, 5.7)\) to the point \((5.7, 5.7)\).
\begin{choices} %%%%%%% begin choices
\choice 1.54E+01 amps
\choice 1.69E+01 amps
\CorrectChoice 1.85E+01 amps
\choice 2.03E+01 amps
\choice 2.22E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 33A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.6, 6.6)\) to the point \((6.6, 6.6)\).
\begin{choices} %%%%%%% begin choices
\choice 5.71E+00 amps
\choice 6.26E+00 amps
\choice 6.86E+00 amps
\choice 7.52E+00 amps
\CorrectChoice 8.25E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-7.4, 7.4)\) to the point \((7.4, 7.4)\).
\begin{choices} %%%%%%% begin choices
\choice 1.69E+01 amps
\CorrectChoice 1.85E+01 amps
\choice 2.03E+01 amps
\choice 2.22E+01 amps
\choice 2.44E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 96A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.4, 6.4)\) to the point \((6.4, 6.4)\).
\begin{choices} %%%%%%% begin choices
\choice 2.00E+01 amps
\choice 2.19E+01 amps
\CorrectChoice 2.40E+01 amps
\choice 2.63E+01 amps
\choice 2.89E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 65A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-4.9, 4.9)\) to the point \((4.9, 4.9)\).
\begin{choices} %%%%%%% begin choices
\choice 1.23E+01 amps
\choice 1.35E+01 amps
\choice 1.48E+01 amps
\CorrectChoice 1.63E+01 amps
\choice 1.78E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 40A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.4, 9.4)\) to the point \((9.4, 9.4)\).
\begin{choices} %%%%%%% begin choices
\choice 7.59E+00 amps
\choice 8.32E+00 amps
\choice 9.12E+00 amps
\CorrectChoice 1.00E+01 amps
\choice 1.10E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 77A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.8, 9.8)\) to the point \((9.8, 9.8)\).
\begin{choices} %%%%%%% begin choices
\choice 1.60E+01 amps
\choice 1.76E+01 amps
\CorrectChoice 1.93E+01 amps
\choice 2.11E+01 amps
\choice 2.31E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 70A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-8.7, 8.7)\) to the point \((8.7, 8.7)\).
\begin{choices} %%%%%%% begin choices
\choice 1.21E+01 amps
\choice 1.33E+01 amps
\choice 1.46E+01 amps
\choice 1.60E+01 amps
\CorrectChoice 1.75E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 87A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.1, 6.1)\) to the point \((6.1, 6.1)\).
\begin{choices} %%%%%%% begin choices
\choice 1.50E+01 amps
\choice 1.65E+01 amps
\choice 1.81E+01 amps
\choice 1.98E+01 amps
\CorrectChoice 2.18E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-5.8, 5.8)\) to the point \((5.8, 5.8)\).
\begin{choices} %%%%%%% begin choices
\choice 1.78E+01 amps
\choice 1.95E+01 amps
\choice 2.14E+01 amps
\CorrectChoice 2.35E+01 amps
\choice 2.58E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 63A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.3, 9.3)\) to the point \((9.3, 9.3)\).
\begin{choices} %%%%%%% begin choices
\choice 1.19E+01 amps
\choice 1.31E+01 amps
\choice 1.44E+01 amps
\CorrectChoice 1.58E+01 amps
\choice 1.73E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 82A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-9.3, 9.3)\) to the point \((9.3, 9.3)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.05E+01 amps
\choice 2.25E+01 amps
\choice 2.46E+01 amps
\choice 2.70E+01 amps
\choice 2.96E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-7, 7)\) to the point \((7, 7)\).
\begin{choices} %%%%%%% begin choices
\choice 9.67E+00 amps
\choice 1.06E+01 amps
\choice 1.16E+01 amps
\CorrectChoice 1.28E+01 amps
\choice 1.40E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-8.1, 8.1)\) to the point \((8.1, 8.1)\).
\begin{choices} %%%%%%% begin choices
\choice 2.01E+01 amps
\CorrectChoice 2.20E+01 amps
\choice 2.41E+01 amps
\choice 2.64E+01 amps
\choice 2.90E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.8, 6.8)\) to the point \((6.8, 6.8)\).
\begin{choices} %%%%%%% begin choices
\choice 1.06E+01 amps
\choice 1.16E+01 amps
\CorrectChoice 1.28E+01 amps
\choice 1.40E+01 amps
\choice 1.53E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.4, 6.4)\) to the point \((6.4, 6.4)\).
\begin{choices} %%%%%%% begin choices
\choice 1.28E+01 amps
\choice 1.40E+01 amps
\choice 1.54E+01 amps
\choice 1.69E+01 amps
\CorrectChoice 1.85E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 71A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-8.6, 8.6)\) to the point \((8.6, 8.6)\).
\begin{choices} %%%%%%% begin choices
\choice 1.62E+01 amps
\CorrectChoice 1.78E+01 amps
\choice 1.95E+01 amps
\choice 2.13E+01 amps
\choice 2.34E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 68A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((-6.4, 6.4)\) to the point \((6.4, 6.4)\).
\begin{choices} %%%%%%% begin choices
\choice 1.55E+01 amps
\CorrectChoice 1.70E+01 amps
\choice 1.86E+01 amps
\choice 2.04E+01 amps
\choice 2.24E+01 amps
%\pagebreak
\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 3
\begin{questions} %%%%%%% begin questions
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 33A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.5)\) to the point \((9.5,9.5)\).
\begin{choices} %%%%%%% begin choices
\choice 3.43E+00 amps
\choice 3.76E+00 amps
\CorrectChoice 4.13E+00 amps
\choice 4.52E+00 amps
\choice 4.96E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9)\) to the point \((9,9)\).
\begin{choices} %%%%%%% begin choices
\choice 4.22E+00 amps
\CorrectChoice 4.63E+00 amps
\choice 5.07E+00 amps
\choice 5.56E+00 amps
\choice 6.10E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.6)\) to the point \((6.6,6.6)\).
\begin{choices} %%%%%%% begin choices
\choice 9.15E+00 amps
\choice 1.00E+01 amps
\CorrectChoice 1.10E+01 amps
\choice 1.21E+01 amps
\choice 1.32E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 33A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.8)\) to the point \((9.8,9.8)\).
\begin{choices} %%%%%%% begin choices
\choice 3.76E+00 amps
\CorrectChoice 4.13E+00 amps
\choice 4.52E+00 amps
\choice 4.96E+00 amps
\choice 5.44E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,5.3)\) to the point \((5.3,5.3)\).
\begin{choices} %%%%%%% begin choices
\choice 8.72E+00 amps
\choice 9.57E+00 amps
\choice 1.05E+01 amps
\CorrectChoice 1.15E+01 amps
\choice 1.26E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 86A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,5)\) to the point \((5,5)\).
\begin{choices} %%%%%%% begin choices
\choice 7.44E+00 amps
\choice 8.15E+00 amps
\choice 8.94E+00 amps
\choice 9.80E+00 amps
\CorrectChoice 1.08E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 46A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.9)\) to the point \((7.9,7.9)\).
\begin{choices} %%%%%%% begin choices
\choice 5.24E+00 amps
\CorrectChoice 5.75E+00 amps
\choice 6.30E+00 amps
\choice 6.91E+00 amps
\choice 7.58E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 50A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7)\) to the point \((7,7)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 6.25E+00 amps
\choice 6.85E+00 amps
\choice 7.51E+00 amps
\choice 8.24E+00 amps
\choice 9.03E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 39A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.5)\) to the point \((8.5,8.5)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 4.88E+00 amps
\choice 5.35E+00 amps
\choice 5.86E+00 amps
\choice 6.43E+00 amps
\choice 7.05E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 59A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.2)\) to the point \((7.2,7.2)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 7.38E+00 amps
\choice 8.09E+00 amps
\choice 8.87E+00 amps
\choice 9.72E+00 amps
\choice 1.07E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 42A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.2)\) to the point \((4.2,4.2)\).
\begin{choices} %%%%%%% begin choices
\choice 3.98E+00 amps
\choice 4.37E+00 amps
\choice 4.79E+00 amps
\CorrectChoice 5.25E+00 amps
\choice 5.76E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.6)\) to the point \((8.6,8.6)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 4.50E+00 amps
\choice 4.93E+00 amps
\choice 5.41E+00 amps
\choice 5.93E+00 amps
\choice 6.50E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 38A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,6.7)\) to the point \((6.7,6.7)\).
\begin{choices} %%%%%%% begin choices
\choice 4.33E+00 amps
\CorrectChoice 4.75E+00 amps
\choice 5.21E+00 amps
\choice 5.71E+00 amps
\choice 6.26E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 89A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,4.8)\) to the point \((4.8,4.8)\).
\begin{choices} %%%%%%% begin choices
\choice 9.25E+00 amps
\choice 1.01E+01 amps
\CorrectChoice 1.11E+01 amps
\choice 1.22E+01 amps
\choice 1.34E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.4)\) to the point \((8.4,8.4)\).
\begin{choices} %%%%%%% begin choices
\choice 5.47E+00 amps
\CorrectChoice 6.00E+00 amps
\choice 6.58E+00 amps
\choice 7.21E+00 amps
\choice 7.91E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 49A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,9.8)\) to the point \((9.8,9.8)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 6.13E+00 amps
\choice 6.72E+00 amps
\choice 7.36E+00 amps
\choice 8.07E+00 amps
\choice 8.85E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,5.3)\) to the point \((5.3,5.3)\).
\begin{choices} %%%%%%% begin choices
\choice 9.77E+00 amps
\choice 1.07E+01 amps
\CorrectChoice 1.18E+01 amps
\choice 1.29E+01 amps
\choice 1.41E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.3)\) to the point \((7.3,7.3)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 3.88E+00 amps
\choice 4.25E+00 amps
\choice 4.66E+00 amps
\choice 5.11E+00 amps
\choice 5.60E+00 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 81A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,7.9)\) to the point \((7.9,7.9)\).
\begin{choices} %%%%%%% begin choices
\choice 7.68E+00 amps
\choice 8.42E+00 amps
\choice 9.23E+00 amps
\CorrectChoice 1.01E+01 amps
\choice 1.11E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 58A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from the point \((0,8.5)\) to the point \((8.5,8.5)\).
\begin{choices} %%%%%%% begin choices
\choice 6.03E+00 amps
\choice 6.61E+00 amps
\CorrectChoice 7.25E+00 amps
\choice 7.95E+00 amps
\choice 8.72E+00 amps
%\pagebreak
\end{choices}%??????????????
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 4
\begin{questions} %%%%%%% begin questions
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,6.2)\) to \((+\infty ,6.2)\).
\begin{choices} %%%%%%% begin choices
\choice 3.91E+01 amps
\choice 4.29E+01 amps
\CorrectChoice 4.70E+01 amps
\choice 5.15E+01 amps
\choice 5.65E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 93A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,4.1)\) to \((+\infty ,4.1)\).
\begin{choices} %%%%%%% begin choices
\choice 3.53E+01 amps
\choice 3.87E+01 amps
\choice 4.24E+01 amps
\CorrectChoice 4.65E+01 amps
\choice 5.10E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9)\) to \((+\infty ,9)\).
\begin{choices} %%%%%%% begin choices
\choice 3.08E+01 amps
\choice 3.37E+01 amps
\CorrectChoice 3.70E+01 amps
\choice 4.06E+01 amps
\choice 4.45E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.4)\) to \((+\infty ,9.4)\).
\begin{choices} %%%%%%% begin choices
\choice 2.32E+01 amps
\choice 2.54E+01 amps
\choice 2.79E+01 amps
\choice 3.06E+01 amps
\CorrectChoice 3.35E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.2)\) to \((+\infty ,9.2)\).
\begin{choices} %%%%%%% begin choices
\choice 1.41E+01 amps
\CorrectChoice 1.55E+01 amps
\choice 1.70E+01 amps
\choice 1.86E+01 amps
\choice 2.04E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.2)\) to \((+\infty ,8.2)\).
\begin{choices} %%%%%%% begin choices
\choice 3.37E+01 amps
\CorrectChoice 3.70E+01 amps
\choice 4.06E+01 amps
\choice 4.45E+01 amps
\choice 4.88E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 69A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5.8)\) to \((+\infty ,5.8)\).
\begin{choices} %%%%%%% begin choices
\choice 2.87E+01 amps
\choice 3.15E+01 amps
\CorrectChoice 3.45E+01 amps
\choice 3.78E+01 amps
\choice 4.15E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 85A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8)\) to \((+\infty ,8)\).
\begin{choices} %%%%%%% begin choices
\choice 2.94E+01 amps
\choice 3.22E+01 amps
\choice 3.53E+01 amps
\choice 3.88E+01 amps
\CorrectChoice 4.25E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.7)\) to \((+\infty ,8.7)\).
\begin{choices} %%%%%%% begin choices
\choice 4.01E+01 amps
\CorrectChoice 4.40E+01 amps
\choice 4.82E+01 amps
\choice 5.29E+01 amps
\choice 5.80E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.4)\) to \((+\infty ,9.4)\).
\begin{choices} %%%%%%% begin choices
\choice 3.25E+01 amps
\choice 3.57E+01 amps
\choice 3.91E+01 amps
\choice 4.29E+01 amps
\CorrectChoice 4.70E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 96A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.1)\) to \((+\infty ,8.1)\).
\begin{choices} %%%%%%% begin choices
\choice 3.32E+01 amps
\choice 3.64E+01 amps
\choice 3.99E+01 amps
\choice 4.38E+01 amps
\CorrectChoice 4.80E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.3)\) to \((+\infty ,8.3)\).
\begin{choices} %%%%%%% begin choices
\choice 1.50E+01 amps
\choice 1.64E+01 amps
\CorrectChoice 1.80E+01 amps
\choice 1.97E+01 amps
\choice 2.16E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 76A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5.8)\) to \((+\infty ,5.8)\).
\begin{choices} %%%%%%% begin choices
\choice 3.16E+01 amps
\choice 3.47E+01 amps
\CorrectChoice 3.80E+01 amps
\choice 4.17E+01 amps
\choice 4.57E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 44A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5)\) to \((+\infty ,5)\).
\begin{choices} %%%%%%% begin choices
\choice 1.67E+01 amps
\choice 1.83E+01 amps
\choice 2.01E+01 amps
\CorrectChoice 2.20E+01 amps
\choice 2.41E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 39A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,8.5)\) to \((+\infty ,8.5)\).
\begin{choices} %%%%%%% begin choices
\choice 1.62E+01 amps
\choice 1.78E+01 amps
\CorrectChoice 1.95E+01 amps
\choice 2.14E+01 amps
\choice 2.34E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 43A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5.8)\) to \((+\infty ,5.8)\).
\begin{choices} %%%%%%% begin choices
\choice 1.63E+01 amps
\choice 1.79E+01 amps
\choice 1.96E+01 amps
\CorrectChoice 2.15E+01 amps
\choice 2.36E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.4)\) to \((+\infty ,9.4)\).
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.55E+01 amps
\choice 1.70E+01 amps
\choice 1.86E+01 amps
\choice 2.04E+01 amps
\choice 2.24E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 66A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,5.5)\) to \((+\infty ,5.5)\).
\begin{choices} %%%%%%% begin choices
\choice 3.01E+01 amps
\CorrectChoice 3.30E+01 amps
\choice 3.62E+01 amps
\choice 3.97E+01 amps
\choice 4.35E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 76A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,9.6)\) to \((+\infty ,9.6)\).
\begin{choices} %%%%%%% begin choices
\choice 3.16E+01 amps
\choice 3.47E+01 amps
\CorrectChoice 3.80E+01 amps
\choice 4.17E+01 amps
\choice 4.57E+01 amps
\end{choices} %%% end choices
\question H is defined by, B=\textmu \textsubscript{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, \(\int \vec H\cdot\vec{d\ell}\), from \((-\infty,6.9)\) to \((+\infty ,6.9)\).
\begin{choices} %%%%%%% begin choices
\choice 2.54E+01 amps
\choice 2.79E+01 amps
\choice 3.06E+01 amps
\CorrectChoice 3.35E+01 amps
\choice 3.67E+01 amps
\end{choices} %%% end choices
\end{questions}
\pagebreak
\section{Attribution}
\theendnotes
\end{document}