Physics Book - User contributions [en]

Combining Electric and Magnetic Forces

2015-12-06T03:31:01Z

Akaplan8:

Claimed by Alana Kaplan

Though the pattern in which electric and magnetic forces interact with particles is observably different, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics. It serves as a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Magnetic Torque]].

An easy way to conceptualize the net force principle, [[Lorentz Force]], is when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.

The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the magnetic field acting on the particle?

A: [[File:Solution1.jpg]]

The Magnetic Field is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can predict the very important figure, the velocity and trajectory of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[magnetic torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

[http://web.mit.edu/sahughes/www/8.022/lec10.pdf | MIT Physics notes on Lorentz force]

===External links===
Great youtube videos on Lorentz Force Law:
[https://www.youtube.com/watch?v=gINzRCOOs-8 |Lorentz Force Law Video 1]
[https://www.youtube.com/watch?v=PK6sEF9SNjw | Lorentz Force Law Video 2]

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-06T03:24:36Z

Akaplan8: /* Further reading */

Claimed by Alana Kaplan

Though the pattern in which electric and magnetic forces interact with particles is observably different, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics. It serves as a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Magnetic Torque]].

An easy way to conceptualize the net force principle, [[Lorentz Force]], is when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.

The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the magnetic field acting on the particle?

A: [[File:Solution1.jpg]]

The Magnetic Field is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[magnetic torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

[http://web.mit.edu/sahughes/www/8.022/lec10.pdf | MIT Physics notes on Lorentz force]

===External links===
Great youtube videos on Lorentz Force Law:
[https://www.youtube.com/watch?v=gINzRCOOs-8 |Lorentz Force Law Video 1]
[https://www.youtube.com/watch?v=PK6sEF9SNjw | Lorentz Force Law Video 2]

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-06T03:21:05Z

Akaplan8:

Claimed by Alana Kaplan

Though the pattern in which electric and magnetic forces interact with particles is observably different, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics. It serves as a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Magnetic Torque]].

An easy way to conceptualize the net force principle, [[Lorentz Force]], is when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.

The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the magnetic field acting on the particle?

A: [[File:Solution1.jpg]]

The Magnetic Field is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[magnetic torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos on Lorentz Force Law:
[https://www.youtube.com/watch?v=gINzRCOOs-8 |Lorentz Force Law Video 1]
[https://www.youtube.com/watch?v=PK6sEF9SNjw | Lorentz Force Law Video 2]

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-06T03:14:16Z

Akaplan8: /* Simple */

Claimed by Alana Kaplan

Though the pattern in which electric and magnetic forces interact with particles is observably different, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics. It serves as a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Torque]].

An easy way to conceptualize the net force principle, [[Lorentz Force]], is when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.

The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the magnetic field acting on the particle?

A: [[File:Solution1.jpg]]

The Magnetic Field is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos on Lorentz Force Law:
[https://www.youtube.com/watch?v=gINzRCOOs-8 |Lorentz Force Law Video 1]
[https://www.youtube.com/watch?v=PK6sEF9SNjw | Lorentz Force Law Video 2]

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-06T03:13:28Z

Akaplan8: /* Simple */

Claimed by Alana Kaplan

Though the pattern in which electric and magnetic forces interact with particles is observably different, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics. It serves as a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Torque]].

An easy way to conceptualize the net force principle, [[Lorentz Force]], is when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.

The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

The Magnetic Field is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos on Lorentz Force Law:
[https://www.youtube.com/watch?v=gINzRCOOs-8 |Lorentz Force Law Video 1]
[https://www.youtube.com/watch?v=PK6sEF9SNjw | Lorentz Force Law Video 2]

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-06T03:12:52Z

Akaplan8: /* Simple */

Claimed by Alana Kaplan

Though the pattern in which electric and magnetic forces interact with particles is observably different, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics. It serves as a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Torque]].

An easy way to conceptualize the net force principle, [[Lorentz Force]], is when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.

The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

The Magnetic Force is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos on Lorentz Force Law:
[https://www.youtube.com/watch?v=gINzRCOOs-8 |Lorentz Force Law Video 1]
[https://www.youtube.com/watch?v=PK6sEF9SNjw | Lorentz Force Law Video 2]

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-06T03:12:23Z

Akaplan8:

Claimed by Alana Kaplan

Though the pattern in which electric and magnetic forces interact with particles is observably different, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics. It serves as a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Torque]].

An easy way to conceptualize the net force principle, [[Lorentz Force]], is when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.

The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]
The Magnetic Force is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos on Lorentz Force Law:
[https://www.youtube.com/watch?v=gINzRCOOs-8 |Lorentz Force Law Video 1]
[https://www.youtube.com/watch?v=PK6sEF9SNjw | Lorentz Force Law Video 2]

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-06T03:03:26Z

Akaplan8: /* Electric and Magnetic Forces Combined */

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.

The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]
The Magnetic Force is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos on Lorentz Force Law:
[https://www.youtube.com/watch?v=gINzRCOOs-8 |Lorentz Force Law Video 1]
[https://www.youtube.com/watch?v=PK6sEF9SNjw | Lorentz Force Law Video 2]

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-06T03:02:15Z

Akaplan8: /* See also */

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]
The Magnetic Force is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos on Lorentz Force Law:
[https://www.youtube.com/watch?v=gINzRCOOs-8 |Lorentz Force Law Video 1]
[https://www.youtube.com/watch?v=PK6sEF9SNjw | Lorentz Force Law Video 2]

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-06T02:59:51Z

Akaplan8: /* A Mathematical Model */

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is now a fundamental principle of electromagnetism.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]
The Magnetic Force is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos:
[https://www.youtube.com/watch?v=gINzRCOOs-8]
[https://www.youtube.com/watch?v=PK6sEF9SNjw]
==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T23:53:32Z

Akaplan8: /* Simple */

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]
The Magnetic Force is in the +Z direction.

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos:
[https://www.youtube.com/watch?v=gINzRCOOs-8]
[https://www.youtube.com/watch?v=PK6sEF9SNjw]
==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T23:48:04Z

Akaplan8:

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as [[Hall Effect]], [[Motional Emf]], [[Inductance]] and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos:
[https://www.youtube.com/watch?v=gINzRCOOs-8]
[https://www.youtube.com/watch?v=PK6sEF9SNjw]
==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T23:46:37Z

Akaplan8:

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as [[Maxwell's equations]] [[Hall Effect]], [[Motional Emf]], and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Here are other principles that use the net force of magnetic and electric forces as a building block:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

[[Motional Emf using Faraday's Law]]

[[Inductance]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos:
[https://www.youtube.com/watch?v=gINzRCOOs-8]
[https://www.youtube.com/watch?v=PK6sEF9SNjw]
==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T23:42:54Z

Akaplan8:

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as Maxwell's equations [[Hall Effect]], [[Motional Emf]], and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Other principles on the interactions of magnetic and electric forces on charged particles can be found here:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

===Further reading===

Books, Articles or other print media on this topic

===External links===
Great youtube videos:
[https://www.youtube.com/watch?v=gINzRCOOs-8]
[https://www.youtube.com/watch?v=PK6sEF9SNjw]
==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T23:35:10Z

Akaplan8: /* Other related topics */

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as the [[Hall Effect]], [[Motional Emf]], and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Other principles on the interactions of magnetic and electric forces on charged particles can be found here:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

===Further reading===

Books, Articles or other print media on this topic

===External links===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T23:34:57Z

Akaplan8: /* See also */

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as the [[Hall Effect]], [[Motional Emf]], and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Other principles on the interactions of magnetic and electric forces on charged particles can be found here:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

[[Electric Motors]]

===Further reading===

Books, Articles or other print media on this topic

===External links===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T23:32:32Z

Akaplan8:

Claimed by Alana Kaplan

Though electric and magnetic forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared. The principle of adding the two functions of force as a net force is one that now serves as a fundamental principle of electromagnetics and a building block for many important Laws such as the [[Hall Effect]], [[Motional Emf]], and [[Torque]].

The principle can be summarized as when a charged particle is moving through a space with present electric and magnetic forces, if the forces are not equal but opposite, the particles trajectory will change.

==The Main Idea==
===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Applications===

'''''Velocity Selector'''''
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

'''''Electric Motor'''''

An electric motor is a device that uses the Lorentz force to convert electric energy into mechanical energy. Using the [[torque]] principle, electric energy is created by using the magnetic field of a magnet. The [[torque]] laws are based off the principles of the net electric and magnetic forces.
===Other related topics===

Other principles on the interactions of magnetic and electric forces on charged particles can be found here:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

===Further reading===

Books, Articles or other print media on this topic

===External links===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T20:24:43Z

Akaplan8: /* Other related topics */

Claimed by Alana Kaplan

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

==The Main Idea==

===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Application: Velocity Selector===
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

===Other related topics===

Other principles on the interactions of magnetic and electric forces on charged particles can be found here:

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

===Further reading===

Books, Articles or other print media on this topic

===External links===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T20:22:18Z

Akaplan8: /* See also */

Claimed by Alana Kaplan

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

==The Main Idea==

===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Application: Velocity Selector===
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

===Other related topics===
[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

== See also ==

[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

===Further reading===

Books, Articles or other print media on this topic

===External links===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T20:21:58Z

Akaplan8: /* Other related topics */

Claimed by Alana Kaplan

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

==The Main Idea==

===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Application: Velocity Selector===
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

===Other related topics===
[[Hall Effect]]

[[Lorentz Force]]

[[Motional Emf]]

== See also ==

[[Hall Effect]]
[[Lorentz Force]]
[[Motional Emf]]

===Further reading===

Books, Articles or other print media on this topic

===External links===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T20:21:28Z

Akaplan8:

Claimed by Alana Kaplan

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

==The Main Idea==

===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Application: Velocity Selector===
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

===Other related topics===
[[Hall Effect]]
[[Lorentz Force]]
[[Motional Emf]]

== See also ==

[[Hall Effect]]
[[Lorentz Force]]
[[Motional Emf]]

===Further reading===

Books, Articles or other print media on this topic

===External links===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T20:20:17Z

Akaplan8:

Claimed by Alana Kaplan

PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.

Short Description of Topic

==The Main Idea==

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Application: Velocity Selector===
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

===Other related topics===
[[Hall Effect]]
[[Lorentz Force]]
[[Motional Emf]]
==History==

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

== See also ==

[[Hall Effect]]
[[Lorentz Force]]
[[Motional Emf]]

===Further reading===

Books, Articles or other print media on this topic

===External links===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T20:15:52Z

Akaplan8:

Claimed by Alana Kaplan

PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.

Short Description of Topic

==The Main Idea==

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Application: Velocity Selector===
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

===Other related topics===

==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===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search:
https://en.wikipedia.org/wiki/Magnetic_field
https://en.wikipedia.org/wiki/Wien_filter
http://aplusphysics.com/wordpress/regents/em/electric-field/

[[Fields]]

Combining Electric and Magnetic Forces

2015-12-05T20:10:30Z

Akaplan8:

Claimed by Alana Kaplan

PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.

Short Description of Topic

==The Main Idea==

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A: [[File:Solution1.jpg]]

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Application: Velocity Selector===
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

===Other related topics===

==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===

==References==

Boundless. “Electric vs. Magnetic Forces.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 05 Dec. 2015 from https://www.boundless.com/physics/textbooks/boundless-physics-textbook/magnetism-21/motion-of-a-charged-particle-in-a-magnetic-field-158/electric-vs-magnetic-forces-554-11176/

Chabay, Ruth W., and Bruce A. Sherwood. Matter & Interactions. 4th ed. Vol. 2. Hoboken, NJ: Wiley, 2015. 812-814. Print.

All images found on google image search

[[Fields]]

File:Solution1.jpg

2015-12-05T20:05:01Z

Akaplan8: Akaplan8 uploaded a new version of "File:Solution1.jpg"

File:Solution1.jpg

2015-12-05T20:04:05Z

Akaplan8:

File:Screen Shot 2015-12-05 at 3.00.02 PM.png

2015-12-05T20:01:11Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T19:58:32Z

Akaplan8:

Claimed by Alana Kaplan

PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.

Short Description of Topic

==The Main Idea==

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====

[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A:

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Application: Velocity Selector===
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

===Other related topics===

==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===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

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

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

Combining Electric and Magnetic Forces

2015-12-05T19:56:51Z

Akaplan8:

Claimed by Alana Kaplan

PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.

Short Description of Topic

==The Main Idea==

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

===A Mathematical Model===

====Electric Forces====
=====Qualitative=====
[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

=====Quantitative=====

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====
=====Qualitative=====
[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

=====Quantitative=====
The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

==Examples==

===Simple===

Q: A proton is moving with velocity 7e8 in the +x direction. The trajectory of the proton is constant. There is an electric field in the area of 3.6e7 in the +y direction. Calculate the direction and magnitude of the present magnetic field?

A:

===Middling===
===Difficult===

==Connectedness==

The Lorentz Force principle has been a component in many modern day inventions and critical building block for many physics principles. With known forces, we can calculate the very important figure, the speed of a moving particle.

===Application: Velocity Selector===
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

===Other related topics===

==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===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

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

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

Combining Electric and Magnetic Forces

2015-12-05T19:34:48Z

Akaplan8:

Claimed by Alana Kaplan

==Summary==
When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

==Electric Forces==

===Qualitative===

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

===Quantitative===
The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

==Magnetic Forces==
[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]
===Qualitative===
:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

===Quantitative===
The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

==Electric and Magnetic Forces Combined==
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

===Applications of combining forces===
====Velocity Selector====
[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

====Other Applications====
See pages:

PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.

Short Description of Topic

==The Main Idea==

When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

===A Mathematical Model===

====Electric Forces====

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

====Magnetic Forces====
=====Qualitative=====
[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]

:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

=====Quantitative=====
The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

====Electric and Magnetic Forces Combined====
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite. When forces are not balanced the trajectory of the the particle will change.
The Lorentz Force calculation is one that is used now in many different applications.

=====Application: Velocity Selector=====

[[File:Velocityselector2.png|thumb| '''Figure 5.''' Illustration of a Velocity Selector ]]

The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.
Be sure to show all steps in your solution and include diagrams whenever possible

==Examples==

===Simple===
===Middling===
===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===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

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

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

Combining Electric and Magnetic Forces

2015-12-05T19:22:09Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T19:19:33Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T19:16:18Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T19:14:37Z

Akaplan8: /* "Other Applications""" */

Claimed by Alana Kaplan

=='''Summary'''==
When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

=='''Electric Forces'''==

===''Qualitative''===

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

===''Quantitative''===
The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

=='''Magnetic Forces'''==
[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]
===''Qualitative''===
:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

==='''Quantitative'''===
The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

=='''Electric and Magnetic Forces Combined'''==
[[File:Velocity selector.gif|thumb| '''Figure 4.''' The electric field, magnetic field, and velocity vector are all perpendicular to each other ]]
The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:
[[File:Force=0.jpg]]

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite.
The Lorentz Force calculation is one that is used now in many different applications.

==='''Applications of combining forces'''===
===="Velocity Selector'''====
The Velocity Selector is a device used to filter particles based on their velocity. A Velocity Selector uses controlled, perpendicular, electric and magnetic fields to filter certain charged particles (See '''Figure 5''' ). Particles with the correct speed will be unaffected while other particles will be deflected. This technique is used in technologies such as electron microscopes and spectrometers.

====Other Applications====
See pages:

Combining Electric and Magnetic Forces

2015-12-05T19:13:33Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T19:06:26Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T19:02:46Z

Akaplan8:

Claimed by Alana Kaplan

=='''Summary'''==
When a charged particle is moving through a space with present electric and magnetic forces, if the forces are not balanced, the particles trajectory will change. It is important to remember that though the forces, observably, interact with a particle in different patterns, their effects can be quantitatively be compared.

=='''Electric Forces'''==

===''Qualitative''===

[[File:ElectricForces.jpg|thumb| '''Figure 1.''' An electric force acts in a pattern parallel to the electric field, pointing radially inward or outward of a particle. The direction depends on the signs of the interacting charged particles. ]]

:• A particle being acted upon by an electric force will move in a straight line, in the path, or negative path depending on charge, of the the electric field line (See '''Figure 1''') .

:• Electric fields point in a direction radially outward/ inward of a charged particle. There are four possible scenarios for the interaction of 2 charged particles:

::1) A (-) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)
::2) A (+) charged Particle(1) is acting on a (-) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::3) A (-) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially inward toward Particle(1)
::4) A (+) charged Particle(1) is acting on a (+) charged particle(2)
:::• Particle(2) feels force pointing radially outward from Particle(1)

===''Quantitative''===
The electric force formula is as follows:
::[[File:ForceE FORM.jpg]]
::Where 1 is the electric field from the source and 2 is the charge of the particle feeling the source
:::*Note that electric forces can perform work

=='''Magnetic Forces'''==
[[File:Magnetic Force Lines.jpg|thumb| '''Figure 2.''' Magnetic Fields follow a helical pattern ]]
[[File:RightHandRule.jpg|thumb| '''Figure 3.''' Magnetic Force Right Hand Rule]]
===''Qualitative''===
:• The magnetic force on a charged particle is orthogonal to the magnetic field.

:• The particle must be moving with some velocity for a magnetic force to be present.

:• Particles move perpendicular to the magnetic field lines in a helical manner (See '''Figure 2''')

:• To find the magnetic force, you can use the Right Hand Rule as follows (See '''Figure 3'''):

:::1) Thumb in direction of the velocity
:::2)Fingers in the direction of the magnetic field
:::3) Your palm will face in the direction of the Magnetic Force

==='''Quantitative'''===
The magnetic force on an object is:
::[[File:ForceB.jpg]]
Note that if the velocity and magnetic field are parallel the magnetic force is zero.

=='''Electric and Magnetic Forces Combined'''==

The net force acting on a particle passing through a magnetic and electric field is:
::[[File:Fnet.jpg]]
This net force calculation is known as "Lorentz Force"

When the net force is equal to zero, the velocity stays constant. The net force is equal when:

As seen in '''Figure 4''' , when the net forces acting on a particle are balanced the electric field, magnetic field, and velocity vector are all perpendicular to each other. The electric and magnetic forces are equal but opposite.

File:Velocityselector2.png

2015-12-05T18:53:33Z

Akaplan8:

File:Force=0.jpg

2015-12-05T18:39:31Z

Akaplan8:

File:Velocity selector.gif

2015-12-05T18:38:31Z

Akaplan8:

File:Fnet.jpg

2015-12-05T18:37:45Z

Akaplan8:

File:ForceB.jpg

2015-12-05T18:37:20Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T18:35:48Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T18:28:23Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T17:56:57Z

Akaplan8:

File:ForceE FORM.jpg

2015-12-05T17:44:24Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T17:39:52Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T17:39:17Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T17:38:34Z

Akaplan8:

Combining Electric and Magnetic Forces

2015-12-05T17:37:37Z

Akaplan8: