Created on: September 16, 2008

Website Address: https://www.curriki.org/oer/Gauss-s-Law--Practice-Problems

TABLE OF CONTENTS

- Finding Field and Charge of a Slab from Potential Practice Problems
- Chapter 4: Gauss’s Law Practice Problems
- Electric Flux and Gauss’s Law Practice Problems
- Electric Field From Charged Disk Practice Problem
- Infinite Charged Sheet Practice Problem
- Point Charge in a Hollow Sphere Practice Problem
- Electric Field From Cylinder Practice Problem
- Uniform Plane Charge Practice Problem
- Conceptual Questions on Gauss's Law and Conductors

Teachers and students can use these practice problems and solutions to help reinforce what's been covered.

Prof. Walter Lewin, 8.01 Physics I: Classical Mechanics, Fall 1999. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. Stanley Kowalski, 8.01 Physics I, Fall 2003. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Dr. George Stephans, 8.01L Physics I: Classical Mechanics, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow, 8.01T Physics I, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Dr. Peter Dourmashkin, Prof. Kate Scholberg, 8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. Walter Lewin, 8.02 Electricity and Magnetism, Spring 2002. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao, 8.02 Physics II: Electricity and Magnetism, Spring 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. Gabriella Sciolla, 8.022 Electricity and Magnetism, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Dr. Peter Dourmashkin, Prof. Gunther Roland, 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans, 8. 8.02T Physics (Electricity and Magnetism) Labs, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA

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These Physics II: Electricity and Magnetism Practice Problems (see pages 27 through 29) and its solution cover determining the electric field, location and charge density of the distribution. Course: 8.02 Physics II: Electricity and Magnetism, Spring 2007 Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao, 8.02 Physics II: Electricity and Magnetism, Spring 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

These Physics II: Electricity and Magnetism Practice Problems (see pages 32 through 39) and their solutions cover the field of two parallel plates of charge; electric flux through a square surface; Gauss's law for gravity; electric potential of a solid sphere; non-conducting solid sphere with a cavity; field and potential of a non-uniform sphere; electric field of a charged slab; electric potential energy of a uniform sphere; and calculating electric field from potential. Course: 8.02 Physics II: Electricity and Magnetism, Spring 2007 Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao, 8.02 Physics II: Electricity and Magnetism, Spring 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

These Physics II: Electricity and Magnetism Practice Problems (see pages 9 through 14, solutions not included) cover electric flux through surfaces; applying Gauss’s law; and quick Gauss’s law questions. Course: 8.02 Physics II: Electricity and Magnetism, Spring 2007 Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao, 8.02 Physics II: Electricity and Magnetism, Spring 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Electricity and Magnetism Practice Problem 4 (and its solution) covers calculating and plotting E-field along z-axis; limiting cases; connection to Coulomb's law. Course: 8.02 Electricity and Magnetism, Spring 2002Instructor: Prof. Walter Lewin Prof. Walter Lewin, 8.02 Electricity and Magnetism, Spring 2002. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Electricity and Magnetism Practice Problem 6 (and its solution) covers finding E-field in 3 cases; plotting along z-axis. Course: 8.02 Electricity and Magnetism, Spring 2002Instructor: Prof. Walter Lewin Prof. Walter Lewin, 8.02 Electricity and Magnetism, Spring 2002. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Electricity and Magnetism Practice Problem 1 (and its solution) covers determining qualitative charge distributions for different locations of the charge. Course: 8.02 Electricity and Magnetism, Spring 2002Instructor: Prof. Walter Lewin Prof. Walter Lewin, 8.02 Electricity and Magnetism, Spring 2002. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Electricity and Magnetism Practice Problem 2 (and its solution) covers finding radial E-field and potential. Course: 8.02 Electricity and Magnetism, Spring 2002Instructor: Prof. Walter Lewin Prof. Walter Lewin, 8.02 Electricity and Magnetism, Spring 2002. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Physics II: Electricity and Magnetism with an Experimental Focus Practice Problem 1 (and its solution) covers drawing and explaining electric field near sheet of charge. Course: 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005Instructors: Dr. Peter Dourmashkin, Prof. Gunther Roland Dr. Peter Dourmashkin, Prof. Gunther Roland, 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

This Physics II: Electricity and Magnetism Practice Problem (see page 37, solution not included) covers how the interpretation of Gauss's Lwa and charge and potential at conductor surfaces. Course: 8.02 Physics II: Electricity and Magnetism, Spring 2007 Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao, 8.02 Physics II: Electricity and Magnetism, Spring 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 21, 2008). License: Creative Commons BY-NC-SA http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode