Created on: September 16, 2008

Website Address: https://library.curriki.org/oer/Electric-Field-and-Electric-Potential--Practice-Problems

TABLE OF CONTENTS

- Class 13 Practice Problems
- Vector Field Representations Practice Problem
- Electric Field Lines Practice Problems
- Masses in Potentials Practice Problems
- Finding Electric Field from Potential Practice Problem
- Chapter 1: Fields Practice Problems
- Chapter 2: Coulomb’s Law Practice Problems
- Chapter 3: Electric Potential Practice Problems
- Electric Field From Point Charges Practice Problem
- Electric Field From Cylinder Practice Problem
- Electric Field of Three Point Charges Practice Problem
- Electricity in Air Practice Problem
- Point Charges on a Line Practice Problem
- Dipole in an Electric Field Practice Problem
- Potential Energy of Point Charges Practice Problem
- Decelerating Proton Practice Problem
- Connected Spherical Conductors Practice Problem
- Field from Two Point Charges Practice Problem
- Potential from Two Point Charges Practice Problem

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 20 through 23) and their solutions cover electrostatics of point charges; and electrostatics on axis of a ring of charge. 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 4 through 8, solutions not included) cover field line, flow field and grass seeds representations of vector fields. 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 1 through 4, solutions not included) cover the meaning of electric field lines; field lines and force; and the electric field around charges. 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 1 through 6, solutions not included) cover motion in a potential landscape; and field lines and electrical 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 7 and 8, solutions not included) cover the magnitude and sign of electric field corresponding to plot of electric 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 20 through 24) and their solutions cover plotting vector fields; plotting scalar fields; and vector fields from magnitude and direction. 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 40 and 41) and their solutions cover field in a charge triangle; and field and force: four point charges. 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 22 and 23, and pages 26 through 30) and their solutions cover the electric potential of two point charges; conceptual questions on electric potential; potential energy in a cube of point charges; force, field and potential of point charges; work done on charges; electric potential of a non-uniformly charged rod; graphical calculation of electric field from potential; electric potential and potential energy with point charges; and electric field, potential and potential energy with point charges. 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 2 (and its solution) covers calculating and plotting E-field along x-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 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

Electricity and Magnetism Practice Problem 4 (and its solution) covers e-fields and potentials from point charge distribution; potential and kinetic energy. 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 radius and voltage of charged sphere. 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 3 (and its solution) covers finding position for third charge to cancel second; reaction to perturbation. 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

Physics II: Electricity and Magnetism with an Experimental Focus Practice Problem 3 (and its solution) covers finding F and ? on dipole from E-field; charge of point from motion of dipole; acceleration from point charge force. 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

Physics II: Electricity and Magnetism with an Experimental Focus Practice Problem 1 (and its solution) covers comparing potential and potential energy of opposite charges near a fixed point 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

Physics II: Electricity and Magnetism with an Experimental Focus Practice Problem 2 (and its solution) covers calculating initial speed of proton given distance traveled to nucleus. 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

Physics II: Electricity and Magnetism with an Experimental Focus Practice Problem 3 (and its solution) covers explaining equipotentiality; and comparing E-fields near spheres. 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

Physics II: Electricity and Magnetism with an Experimental Focus Practice Problem 1 (and its solution) covers finding force on one charge, E-field along x-axis and y-axis, graphing, and drawing field lines. 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

Physics II: Electricity and Magnetism with an Experimental Focus Practice Problem 2 (and its solution) covers graphing and approximating electric potential; and graphing potential energy. 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