Physics Book - User contributions [en]

Lorentz Force

2015-12-05T04:51:24Z

Matt harding23:

Claimed by Matt Harding--[[User:matt_harding23|matt_harding23]]
==The Main Idea==

The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present.

===A Mathematical Model===

<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.

===A Computational Model===
[[File:Lorentz Force.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space?

Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons.

===Middling===

Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s.

Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N
Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N
Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N

===Difficult===

An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron.

Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N

==Connectedness==
#This is connected to physics 2 because it combines the electric and magnetic forces.
#This applies to my major mostly because it is related to electric forces.

==History==

J.J. Thomson first found the correct formula. However, because of some errors and an imperfect description of the displacement current he was not credited with the discovery of this force. Oliver Heaviside fixed Thompson’s mistakes and found the correct form of the magnetic force on a moving charged object. Finally, in 1892, Hendrik Lorentz found the modern form of the formula for the electromagnetic force.

== See also ==

Electric Field and Force. Magnetic Field and Force.

===Further reading===

Matter and Interactions Volume 2.

===External links===

Link for picture: https://upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Lorentz_force_particle.svg/2000px-Lorentz_force_particle.svg.png

==References==

None

Lorentz Force

2015-12-05T04:50:34Z

Matt harding23: /* References */

Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)
==The Main Idea==

The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present.

===A Mathematical Model===

<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.

===A Computational Model===
[[File:Lorentz Force.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space?

Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons.

===Middling===

Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s.

Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N
Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N
Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N

===Difficult===

An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron.

Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N

==Connectedness==
#This is connected to physics 2 because it combines the electric and magnetic forces.
#This applies to my major mostly because it is related to electric forces.

==History==

J.J. Thomson first found the correct formula. However, because of some errors and an imperfect description of the displacement current he was not credited with the discovery of this force. Oliver Heaviside fixed Thompson’s mistakes and found the correct form of the magnetic force on a moving charged object. Finally, in 1892, Hendrik Lorentz found the modern form of the formula for the electromagnetic force.

== See also ==

Electric Field and Force. Magnetic Field and Force.

===Further reading===

Matter and Interactions Volume 2.

===External links===

Link for picture: https://upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Lorentz_force_particle.svg/2000px-Lorentz_force_particle.svg.png

==References==

None

Lorentz Force

2015-12-05T04:50:23Z

Matt harding23: /* See also */

Lorentz Force

2015-12-05T04:49:17Z

Matt harding23: /* Connectedness */

Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)
==The Main Idea==

The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present.

===A Mathematical Model===

<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.

===A Computational Model===
[[File:Lorentz Force.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space?

Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons.

===Middling===

Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s.

Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N
Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N
Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N

===Difficult===

An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron.

Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N

==Connectedness==
#This is connected to physics 2 because it combines the electric and magnetic forces.
#This applies to my major mostly because it is related to electric forces.

==History==

J.J. Thomson first found the correct formula. However, because of some errors and an imperfect description of the displacement current he was not credited with the discovery of this force. Oliver Heaviside fixed Thompson’s mistakes and found the correct form of the magnetic force on a moving charged object. Finally, in 1892, Hendrik Lorentz found the modern form of the formula for the electromagnetic force.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Lorentz Force

2015-12-05T04:49:03Z

Matt harding23: /* History */

Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)
==The Main Idea==

The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present.

===A Mathematical Model===

<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.

===A Computational Model===
[[File:Lorentz Force.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space?

Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons.

===Middling===

Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s.

Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N
Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N
Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N

===Difficult===

An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron.

Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N

==Connectedness==
#1. This is connected to physics 2 because it combines the electric and magnetic forces.
#2. This applies to my major mostly because it is related to electric forces.

==History==

J.J. Thomson first found the correct formula. However, because of some errors and an imperfect description of the displacement current he was not credited with the discovery of this force. Oliver Heaviside fixed Thompson’s mistakes and found the correct form of the magnetic force on a moving charged object. Finally, in 1892, Hendrik Lorentz found the modern form of the formula for the electromagnetic force.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Lorentz Force

2015-12-05T04:48:49Z

Matt harding23: /* Connectedness */

Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)
==The Main Idea==

The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present.

===A Mathematical Model===

<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.

===A Computational Model===
[[File:Lorentz Force.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space?

Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons.

===Middling===

Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s.

Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N
Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N
Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N

===Difficult===

An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron.

Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N

==Connectedness==
#1. This is connected to physics 2 because it combines the electric and magnetic forces.
#2. This applies to my major mostly because it is related to electric forces.

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Lorentz Force

2015-12-05T04:48:13Z

Matt harding23: /* Examples */

Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)
==The Main Idea==

The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present.

===A Mathematical Model===

<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.

===A Computational Model===
[[File:Lorentz Force.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space?

Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons.

===Middling===

Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s.

Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N
Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N
Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N

===Difficult===

An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron.

Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Lorentz Force

2015-12-05T04:47:40Z

Matt harding23: /* The Main Idea */

Lorentz Force

2015-12-05T04:30:01Z

Matt harding23: /* Difficult */

Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)
==The Main Idea==

The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.

===A Mathematical Model===

What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.

===A Computational Model===
[[File:Lorentz Force.png]]

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==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron.

Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Lorentz Force

2015-12-05T04:15:46Z

Matt harding23: /* Middling */

Claimed by Matt Harding --[[User:matt_harding23|matt_harding23]]
==The Main Idea==

The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present.

===A Mathematical Model===

<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.

===A Computational Model===

[[File:Lorentz Force.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space?

Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons.

===Middling===

Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s.

Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N

Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N

Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Lorentz Force

2015-12-05T04:14:50Z

Matt harding23: /* Middling */

Claimed by Matt Harding --[[User:matt_harding23|matt_harding23]]
==The Main Idea==

The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present.

===A Mathematical Model===

<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.

===A Computational Model===

[[File:Lorentz Force.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space?

Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons.

===Middling===

Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s.

Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N
Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N
Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Lorentz Force

2015-12-05T04:03:19Z

Matt harding23: /* Simple */

Lorentz Force

2015-12-05T04:03:02Z

Matt harding23: /* Simple */

Lorentz Force

2015-12-05T03:57:51Z

Matt harding23: /* A Computational Model */

Lorentz Force

2015-12-05T03:53:57Z

Matt harding23: /* A Computational Model */

File:Lorentz Force.png

2015-12-05T03:53:46Z

Matt harding23:

Lorentz Force

2015-12-05T03:49:57Z

Matt harding23: /* A Computational Model */

Lorentz Force

2015-12-05T03:48:34Z

Matt harding23: /* A Computational Model */

Lorentz Force

2015-12-05T03:47:45Z

Matt harding23:

File:Lorentz Force pic.png

2015-12-05T03:42:53Z

Matt harding23: