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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Collection Contents

Chapter 8: Introduction to Magnetic Fields Practice Problems

by Massachusetts Institute of Technology MIT OpenCourseware

These Physics II: Electricity and Magnetism Practice Problems (see pages 20 through 22, pages 24 and 25, and pages 27 and 28) and their solutions cover rolling rods; suspended conducting rods; magnetic torque on a current loop; a current-carrying bar on an inclined plane; magnetic force on a wire; and current density in a levitating wire. 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
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Force on a Current Loop Near a Current Segment Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

This Physics II: Electricity and Magnetism Practice Problem (see page 66, solution not included) covers finding the force on a rectangular current loop in the non-uniform magnetic field of a nearby finite current segment. 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
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Quick Magnetic Force on Wires Practice Problems

by Massachusetts Institute of Technology MIT OpenCourseware

These Physics II: Electricity and Magnetism Practice Problems (see pages 1 through 5, solutions not included) covers identifying the direction of the force on a current-carrying wire or loop in the field of a bar magnet. 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
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Magnetic Force on Particles Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

This Physics II: Electricity and Magnetism Practice Problem (see page 8, solution not included) covers identifying the direction of the force on a moving charged particle due to the magnetic field of another moving charged particle. 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
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Magnetic Dipole Movement Practice Problems

by Massachusetts Institute of Technology MIT OpenCourseware

These Physics II: Electricity and Magnetism Practice Problems (see page 2 through 5, solutions not included) covers characterizing the behavior of magnetic dipoles in different magnetic field configurations. 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
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Rail Gun Direction Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

This Physics II: Electricity and Magnetism Practice Problem (see page 8, solution not included) covers finding the direction of the magnetic force when a current-carrying rod slides on rails in a uniform magnetic field. 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
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Self-inductance and Field Energy Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

Electricity and Magnetism Practice Problem 4 (and its solution) covers calculating magnetic field energy and self-inductance of a current-carrying wire. 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
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Voltage in Power Lines Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

Electricity and Magnetism Practice Problem 1 (and its solution) covers finding resistance, power, voltage conditions, and Lorentz force in power lines. 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
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Self-Inductance and Field Energy Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

Electricity and Magnetism Practice Problem 4 (and its solution) covers calculating magnetic field energy and self-inductance of a current-carrying wire. 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
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Interactions of Current-Carrying Wires Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

Physics II: Electricity and Magnetism with an Experimental Focus Practice Problem 1 (and its solution) covers explaining in words why parallel currents attract and antiparallel currents repel. 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
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Offset of CRT Beam Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

Physics II: Electricity and Magnetism with an Experimental Focus Practice Problem 2 (and its solution) covers determining the cause of a CRT beam offset slightly to the right. 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
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