Physics Book - User contributions [en]

Magnetic Torque

2015-12-05T20:37:16Z

Dhubbard8: /* History */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

[[File:torqueexample.png|thumb|Example of Magnetic Torque]]

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Refer to [[Magnetic Force]]

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Video. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.
* "Homework 11." WebAssign. Web. 5 Dec. 2015. <http://webassign.net/>.

[[Category:Fields]]

Magnetic Torque

2015-12-05T20:36:39Z

Dhubbard8: /* References */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

[[File:torqueexample.png|thumb|Example of Magnetic Torque]]

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Refer to [[Magnetic Field]] and [[Magnetic Force]]

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Video. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.
* "Homework 11." WebAssign. Web. 5 Dec. 2015. <http://webassign.net/>.

[[Category:Fields]]

Magnetic Torque

2015-12-05T20:29:06Z

Dhubbard8: /* References */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

[[File:torqueexample.png|thumb|Example of Magnetic Torque]]

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Refer to [[Magnetic Field]] and [[Magnetic Force]]

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Video. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.

[[Category:Fields]]

Magnetic Torque

2015-12-05T20:27:20Z

Dhubbard8:

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

[[File:torqueexample.png|thumb|Example of Magnetic Torque]]

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Refer to [[Magnetic Field]] and [[Magnetic Force]]

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.

[[Category:Fields]]

Magnetic Torque

2015-12-05T20:26:36Z

Dhubbard8:

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

[[File:torqueexample.png|Example of Magnetic Torque]]

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Refer to [[Magnetic Field]] and [[Magnetic Force]]

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.

[[Category:Fields]]

Magnetic Torque

2015-12-05T20:25:47Z

Dhubbard8:

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

[[File:torqueexample.png|thumb|Example of Magnetic Torque]]

Torque is created from the magnetic forces acting upon a coil.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Refer to [[Magnetic Field]] and [[Magnetic Force]]

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.

[[Category:Fields]]

Magnetic Torque

2015-12-05T20:24:46Z

Dhubbard8: /* A Computational Model */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Refer to [[Magnetic Field]] and [[Magnetic Force]]

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.

[[Category:Fields]]

Magnetic Torque

2015-12-05T20:24:10Z

Dhubbard8: /* References */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Refer to [[Magnetic Field]] and [[Magnetic Force]]

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.

[[Category:Fields]]

Magnetic Torque

2015-12-05T20:23:35Z

Dhubbard8: /* History */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Refer to [[Magnetic Field]] and [[Magnetic Force]]

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.

[[Category:Field]]

Magnetic Torque

2015-12-05T20:22:59Z

Dhubbard8: /* References */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.
* "Magnetic Torques and Amp's Law." Rochester Institute of Technology. Web. 5 Dec. 2015. <http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html>.

[[Category:Field]]

Magnetic Torque

2015-12-05T20:19:33Z

Dhubbard8: /* References */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/
* Weisstein, Eric. "Magnetic Torque." Eric Weisstein's World of Physics. Wolfram Research, 1996. Web. 5 Dec. 2015. <http://scienceworld.wolfram.com/physics/MagneticTorque.html>.

[[Category:Field]]

Magnetic Torque

2015-12-05T20:17:15Z

Dhubbard8: /* Further reading */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* Eisberg, R. and Resnick, R. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, p. 269, 1985.
* Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, p. 220, 1989.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/

[[Category:Field]]

Magnetic Torque

2015-12-05T20:14:24Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/

[[Category:Field]]

Magnetic Torque

2015-12-05T20:13:53Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass][http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/

[[Category:Field]]

Magnetic Torque

2015-12-05T20:13:25Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass]] [http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/

[[Category:Field]]

Magnetic Torque

2015-12-05T20:13:00Z

Dhubbard8: /* References */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44
* http://helenotway.edublogs.org/2011/01/02/different-compass-point-same-ultimate-direction/

[[Category:Field]]

Magnetic Torque

2015-12-05T20:11:03Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44

[[Category:Field]]

Magnetic Torque

2015-12-05T20:09:41Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44

[[Category:Field]]

File:Compass.jpg

2015-12-05T20:09:06Z

Dhubbard8: Dhubbard8 uploaded a new version of "File:Compass.jpg"

the real compass

Magnetic Torque

2015-12-05T20:08:03Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44

[[Category:Field]]

Magnetic Torque

2015-12-05T20:07:16Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44

[[Category:Field]]

Magnetic Torque

2015-12-05T20:07:07Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:compass.jpg|thumb|A standard compass]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44

[[Category:Field]]

Magnetic Torque

2015-12-05T20:06:37Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg|thumb|A standard compass]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44

[[Category:Field]]

Magnetic Torque

2015-12-05T20:04:59Z

Dhubbard8: /* References */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.
* Torque on Current-Carrying Loop in Magnetic Field. Doc Schuster. 23 Jan. 2013. Radio. https://www.youtube.com/watch?v=xER1_SYql44

[[Category:Field]]

Magnetic Torque

2015-12-05T20:02:01Z

Dhubbard8: /* A Mathematical Model */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.

[[Category:Field]]

Magnetic Torque

2015-12-05T20:01:03Z

Dhubbard8: /* A Mathematical Model */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque. <ref name="PhysicsBook">[Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.]</ref>

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.

[[Category:Field]]

Magnetic Torque

2015-12-05T20:00:02Z

Dhubbard8: /* A Mathematical Model */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque. <ref name="PhysicsBook"> </ref>

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.

[[Category:Field]]

Magnetic Torque

2015-12-05T19:54:55Z

Dhubbard8: /* A Computational Model */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

Click here to view the PHET Interactive Model created by the University of Colorado

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.

[[Category:Field]]

Magnetic Torque

2015-12-05T19:54:14Z

Dhubbard8: /* A Computational Model */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.

[[Category:Field]]

Magnetic Torque

2015-12-05T19:53:47Z

Dhubbard8: /* References */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.
[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.
* "Magnet and Compass PHET Interaction Model." PhET. Ed. Chris Malley. University of Colorado, 2015. Web. 5 Dec. 2015. <https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass>.

[[Category:Field]]

Magnetic Torque

2015-12-05T19:50:13Z

Dhubbard8: /* A Computational Model */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.
[https://phet.colorado.edu/en/simulation/legacy/magnet-and-compass PHET Interactive Magnet and Compass Model]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

[[Category:Field]]

Magnetic Torque

2015-12-05T19:03:53Z

Dhubbard8: /* A Computational Model */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

[[Category:Field]]

Magnetic Torque

2015-12-05T19:03:38Z

Dhubbard8: /* A Mathematical Model */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

[[Category:Field]]

Magnetic Torque

2015-12-05T18:44:56Z

Dhubbard8: /* See also */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar Magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

[[Category:Field]]

Magnetic Torque

2015-12-05T18:34:55Z

Dhubbard8: /* Difficult */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

[[File:DifficultWikiProb.JPG]]

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

[[Category:Field]]

File:DifficultWikiProb.JPG

2015-12-05T18:34:31Z

Dhubbard8: This is the difficult problem of magnetic torque application.

This is the difficult problem of magnetic torque application.

Magnetic Torque

2015-12-05T18:32:49Z

Dhubbard8: /* Difficult */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque (in units of N*m)

[[File:mu.jpg]] is the dipole moment of the magnet (A*m^^2)

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

A bar magnet whose magnetic dipole moment is <3, 0, 1.8> A · m2 is suspended from a thread in a region where external coils apply a magnetic field of <0.6, 0, 0> T. What is the vector torque that acts on the bar magnet?

[[File:SimpleWikiProb.JPG]]

===Middling===
A bar magnet whose magnetic dipole moment is 14 A · m2 is aligned with an applied magnetic field of 5.4 T. How much work must you do to rotate the bar magnet 180° to point in the direction opposite to the magnetic field?

[[File:MiddleWikiProb.JPG]]

===Difficult===

A cylindrical bar magnet whose mass is 0.09 kg, diameter is 1 cm, length is 3 cm, and whose magnetic dipole moment is <4, 0, 0> A · m2
is suspended on a low-friction pivot in a region where external coils apply a magnetic field of <2.0, 0, 0> T. You rotate the bar magnet slightly in the horizontal plane and release it. (For small angles in radians, assume sin(θ) ≈ θ.)

(a) What is the angular frequency of the oscillating magnet?

(b) What would be the angular frequency if the applied magnetic field were <4.0, 0, 0> T?

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

==History==

Picture of scientist goes here

Who?
What?
When?
Where?
Why?

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

[[Category:Field]]

Magnetic Torque

2015-12-05T18:10:34Z

Dhubbard8: /* Middling */

File:MiddleWikiProb.JPG

2015-12-05T18:10:05Z

Dhubbard8: This middling sample problem on the magnetic torque page.

This middling sample problem on the magnetic torque page.

Magnetic Torque

2015-12-05T18:01:34Z

Dhubbard8: /* Middling */

Magnetic Torque

2015-12-05T18:00:18Z

Dhubbard8: /* Middling */

Magnetic Torque

2015-12-05T17:44:05Z

Dhubbard8: /* Simple */

Magnetic Torque

2015-12-05T17:43:22Z

Dhubbard8: /* Simple */

File:SimpleWikiProb.JPG

2015-12-05T17:42:59Z

Dhubbard8: This is an explanation of the problem listed on the magnetic torque page.

This is an explanation of the problem listed on the magnetic torque page.

Magnetic Torque

2015-12-05T17:30:03Z

Dhubbard8: /* A Mathematical Model */

Magnetic Torque

2015-12-05T17:28:34Z

Dhubbard8: /* Simple */

Magnetic Torque

2015-12-05T03:19:16Z

Dhubbard8:

Magnetic Torque

2015-12-05T03:18:40Z

Dhubbard8:

Magnetic Torque

2015-12-05T03:12:32Z

Dhubbard8:

Magnetic Torque

2015-12-05T03:08:26Z

Dhubbard8: /* Connectedness */

Claimed by Demetria Hubbard--[[User:Dhubbard8|Dhubbard8]] ([[User talk:Dhubbard8|talk]]) 15:02, 2 December 2015 (EST)

==Summary==
Magnetic torque is a phenomenon that occurs when the magnetic field produced causes a current-carrying wire to twist out of proportion.

==The Main Idea==

The idea behind this concept is that as the current flows through the wire and a magnetic field is produced. While this magnetic field is being produced, there is a force acting upon the wire causing it to twist. An example of this phenomenon is the movement of a compass needle by the Earth's magnetic field or hanging a coil near a bar magnet will cause it to twist in the direction of the magnetic field.

[http://www.youtube.com/watch?v=LD6TX5IH5po Asymmetric Magnet Torque]

===A Mathematical Model===

[[File:torqueexample.png]]

Torque is created from the magnetic forces acting upon a coil.

[[File:torque.jpg]] This is the overall equation for determining magnetic torque.

[[File:theT.jpg]] Represents torque

[[File:mu.jpg]] is the dipole moment of the magnet

[[File:theB.jpg]] is the magnetic field created by the magnet (in units of Tesla)

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

[https://www.youtube.com/watch?v=xER1_SYql44 Torque on Current Carrying Loop]

===Simple===

If there is a current-carrying wire with a magnetic field of 0.5 T and a dipole moment of 0.23, what is the torque produced on the wire?

===Middling===
===Difficult===

==Connectedness==

[[File:Compass.jpg]]

Utilizing a compass is a basic survival need and it just so happens to depend on the torque produced by the Earth's magnetic field. As a Biology major, field work is a large part of what I do, especially studying ecological systems and different habitats. In order to navigate in unfamiliar locations, such as deserts and dense tropical forests, scientists rely heavily on basic survival skills and this includes the use of compasses and maps. Physics, biology, and chemistry make up part of the science family and each heavily depends on the other, this is why it is important to study each one to bridge the relationship.

== See also ==

* [[Torque]]
* [[Magnetic Field]]
* [[Magnetic Force]]
* [[Bar magnet]]

===Further reading===

* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

===External links===

[http://scienceworld.wolfram.com/physics/MagneticTorque.html Magnetic Torque]

==References==

* [http://commons.wikimedia.org/wiki/File:Momento_torcente_magnetico.svg Torque Example]
* Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print.

[[Category:Field]]