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

Charge in an LC Circuit Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

This Physics II: Electricity and Magnetism Practice Problem (see pages 40 through 43) and its solution covers finding the time and stored energies when energy stored in the capacitor reaches its first maximum. 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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Inductance of a Double-Layer Solenoid Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

This Physics II: Electricity and Magnetism Practice Problem (see pages 33 through 35) and its solution covers finding the inductance of a wire coiled into the shape of two concentric solenoids. 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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Chapter 11: Inductance and Magnetic Energy Practice Problems

by Massachusetts Institute of Technology MIT OpenCourseware

These Physics II: Electricity and Magnetism Practice Problems (see pages 39 through 53) and their solutions cover Magnetic Energy Stored in a Toroid; Magnetic Energy in a Wire; Mutual Inductance: Loop and Wire; Steady-State RL Circuit Current; RL Circuit Dynamics; LC Circuit Analysis; Inductance; Inductance of a Solenoid; Inductance of a Homemade Solenoid; Inductors in Series and in Parallel; RL Circuit with Added Resistance; Energy in an RL Circuit; Inductance of a Solenoid with an Iron Core; RL and LC Circuits; Electromagnetic Energy in a Spinning Cylindrical Capacitor; and Inductance of a Spinning Loop in an External 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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RL Circuit I Practice Problems

by Massachusetts Institute of Technology MIT OpenCourseware

These Physics II: Electricity and Magnetism Practice Problems (see pages 1 through 3, solutions not included) cover identifying the behavior of current as switches close in one- and two-loop RL circuits. 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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Current in a Driven Motor Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

This Physics II: Electricity and Magnetism Practice Problem (see page 5, solution not included) covers how the current in a driven electric motor changes when the rotating loop is held still. 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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LC Circuit Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

This Physics II: Electricity and Magnetism Practice Problem (see pages 1 and 2, solution not included) covers identifying how the charge and current in an LC circuit are behaving at specific moments in the oscillation. 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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RL Circuit II Practice Problem

by Massachusetts Institute of Technology MIT OpenCourseware

Electricity and Magnetism Practice Problem 5 (and its solution) covers energy delivered and built up in circuit; and the time to current build-up. 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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Circuit-Breaking 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 the spark from disconnecting circuit; and energy stored in L. 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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