Forces: Current-Carrying Wires in Magnetic Fields

Magnetic Forces and Fields

Magnetism from empirical evidence; Lorentz force on charge and wires; Electron trajectories; applications to modern physics; work done by B-fields.

• 8.022 Electricity and Magnetism, Fall 2004
  Prof. Gabriella Sciolla

Course Material Related to This Topic:

• Read lecture notes, pages 1–6

Magnetic Force on a Current-Carrying Wire

Determines the magnetic force on an arbitrarily shaped current-carrying wire; example considering a semi-circular loop.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Read chapter 8, pages 4-7 of online textbook

Torque on a Current-Carrying Loop

Calculates the torque on a square loop of current in a uniform magnetic field; also defines the magnetic dipole moment.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Read chapter 8, pages 8-10 of online textbook

Rolling Rod

Determine the motion of a rolling current-carrying rod in a uniform magnetic field. Solution is included after problem.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 20-1

Suspended Conducting Rod

Calculate the magnetic force required to counteract the force of gravity on a suspended current-carrying rod. Solution is included after problem.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 21-2

Magnetic Torque on a Current Loop

Find the torque on a square current-carrying loop due to a uniform magnetic field, and find the value of current in equilibrium with gravity.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 24-5

Current-Carrying Bar on an Inclined Plane

Find the current through a bar on an inclined plane in a uniform magnetic field, so that the forces balance.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 25

Magnetic Force on a Wire

Determine the force on a current-carrying wire that is skewed with respect to a magnetic field.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 27

Current Density in a Levitating Wire

Determine the current density and power that are required to make a wire levitate in a magnetic field against the force of gravity.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 28

Force on a Current Loop Near a Current Segment

Find the force on a rectangular current loop in the non-uniform magnetic field of a nearby finite current segment.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 66

Quick Magnetic Force on Wires Questions

Identify the direction of the force on a current-carrying wire or loop in the field of a bar magnet.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 1-5

Magnetic Force on Particles

Identify the direction of the force on a moving charged particle due to the magnetic field of another moving charged particle.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 8

Magnetic Dipole Movement Questions

Characterize the behavior of magnetic dipoles in different magnetic field configurations.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 2-5

Rail Gun Direction

Find the direction of the magnetic force when a current-carrying rod slides on rails in a uniform magnetic field.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  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

Course Material Related to This Topic:

• Complete practice problems on page 8

Interactions of Current-Carrying Wires

Explaining in words why parallel currents attract and antiparallel currents repel.

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

• Complete practice problem 1
• Check solution to practice problem 1

Offset of CRT Beam

Determining the cause of a CRT beam offset slightly to the right.

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

• Complete practice problem 2
• Check solution to practice problem 2

Stacked Current-Carrying Loops

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

Finding field of one loop and force exerted on the other. Solution not included.

• Complete exam problem 4

Finding field of one loop and force exerted on the other.

• Complete exam problem 5
• Check solution to exam problem 5

A Current-Carrying Wire in a Constant Magnetic Field

Video animation showing a current-carrying wire moving into a uniform magnetic field, then being pushed back out because of the resulting force on the wire.

• 8.02T Physics (Electricity and Magnetism) Labs, Spring 2005
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans

Course Material Related to This Topic:

• Interact with a Java Simulation

The Floating Coil

• 8.02T Physics (Electricity and Magnetism) Labs, Spring 2005
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans

Course Material Related to This Topic:

Video animation showing the magnetic field and behavior of a coil of wire suspended above a magnet, when the current through the wire is flowing in one direction and then the other.

• Interact with a Java Simulation

Interactive applet showing the magnetic field and behavior of a coil of wire suspended above a magnet, when the magnitude and direction of the current through the coil can be changed in real time.

• Interact with a Java Simulation