Polarization: Difference between revisions

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==The Main Idea==
==The Main Idea==


At an atomic level, external charges cause subatomic particles to restructure in way that is can be described as polarization. For example, a positive charge will create an outward field which will move the average electron position closer to the positive charge and the nucleus to the further away. Through this process of polarization, charges or electric fields effectively make neutral object induced dipoles. Polarization explains the attraction between charged objects and neutral object. A charged object creates an electric field that causes the opposite sign charge closer which in turn causes a net attraction. How readily a charged object can cause a material to polarize or the polarizability is different for different materials. The amount of polarization or the dipole moment is equal to the the polarizability multiplied by the electric field applied. The two main type of material are insulators and conductors and each of these handles polarization in a different way. It is important to understand that polarization itself does not induce charging. Polarization is the redistribution of charges throughout an object; a polarized neutral object is still a neutral object.
At an atomic level, external charges cause subatomic particles to restructure in way that is can be described as polarization. For example, a positive charge will create an outward field which will move the average electron position closer to the positive charge and the nucleus further away. Through this process of polarization, charges or electric fields effectively make neutral object induced dipoles. Polarization explains the attraction between charged objects and neutral object. A charged object creates an electric field that causes the opposite sign charge closer which in turn causes a net attraction. How readily a charged object can cause a material to polarize or the polarizability is different for different materials. The amount of polarization or the dipole moment is equal to the the polarizability multiplied by the electric field applied. The two main type of material are insulators and conductors and each of these handles polarization in a different way. It is important to understand that polarization itself does not induce charging. Polarization is the redistribution of charges throughout an object; a polarized neutral object is still a neutral object regardless of whether it is an insulator or conductor.  


File:1wikibookpic.jpg Polarization in Insulator: One main property of insulators is that electrons are tightly bound to the molecules. Therefore, there is no "sea of electrons" and the polarization happens much like what is shown in 2wikibookpic.jpg in which the actual atoms do not move very much but rather just reorient themselves to point correspondingly to the charges on or in the insulator. The net electric field is not equal to zero in the an insulator if there is a net electric field acting upon it.
[[File:1wikibookpic.jpg]]


Polarization in Conductors: Polarization in conductors differs from polarization in insulators because conductors have charged particles that can move throughout the object. While insulators have atoms that simply reorient themselves, conductors have charged particles that can move distances due to external charges applied upon the material. The speed in which these mobile charges move due to an applied electric is known formally as drift speed. The drift speed is equal to the the net electric field at the location of the charge multiplied by a the mobility of the mobile charges. Another important property of conductors are that excess charges are always located out the outside of the surface of the conductor.  
Polarization in Insulator: One main property of insulators is that electrons are tightly bound to the molecules. Therefore, there is no "sea of electrons" and the polarization happens much like what is shown in 2wikibookpic.jpg in which the actual atoms do not move very much but rather just reorient themselves to point correspondingly to the charges on or in the insulator. The net electric field is not equal to zero in the an insulator if there is a net electric field acting upon it.
 
[[File:2wikibookpic.jpg]]
 
Polarization in Conductors: Polarization in conductors differs from polarization in insulators because conductors have charged particles that can move throughout the object. While insulators have atoms that simply reorient themselves, conductors have charged particles that can move distances due to external charges applied upon the material. The speed in which these mobile charges move due to an applied electric is known formally as drift speed. The drift speed is equal to the the net electric field at the location of the charge multiplied by a the mobility of the mobile charges. Another important property of conductors is that excess charges are always located out the outside on the surface of the conductor. Because the polarization causes the mobile charges to reorient on the surface, the net electric field always goes to zero. This state is known as equilibrium, and it features a electron drift speed equal to 0. The electric field of the polarization of the charges cancels out the electric field applied which which leaves no net electric field inside a conductor when it is at equilibrium.
 
[[File:3wikibookpic.jpg]]


===A Mathematical Model===
===A Mathematical Model===

Revision as of 02:22, 22 November 2015

Short Description of Topic Made By: tkapadia3 aka Tapas Kapadia

The Main Idea

At an atomic level, external charges cause subatomic particles to restructure in way that is can be described as polarization. For example, a positive charge will create an outward field which will move the average electron position closer to the positive charge and the nucleus further away. Through this process of polarization, charges or electric fields effectively make neutral object induced dipoles. Polarization explains the attraction between charged objects and neutral object. A charged object creates an electric field that causes the opposite sign charge closer which in turn causes a net attraction. How readily a charged object can cause a material to polarize or the polarizability is different for different materials. The amount of polarization or the dipole moment is equal to the the polarizability multiplied by the electric field applied. The two main type of material are insulators and conductors and each of these handles polarization in a different way. It is important to understand that polarization itself does not induce charging. Polarization is the redistribution of charges throughout an object; a polarized neutral object is still a neutral object regardless of whether it is an insulator or conductor.

Polarization in Insulator: One main property of insulators is that electrons are tightly bound to the molecules. Therefore, there is no "sea of electrons" and the polarization happens much like what is shown in 2wikibookpic.jpg in which the actual atoms do not move very much but rather just reorient themselves to point correspondingly to the charges on or in the insulator. The net electric field is not equal to zero in the an insulator if there is a net electric field acting upon it.

Polarization in Conductors: Polarization in conductors differs from polarization in insulators because conductors have charged particles that can move throughout the object. While insulators have atoms that simply reorient themselves, conductors have charged particles that can move distances due to external charges applied upon the material. The speed in which these mobile charges move due to an applied electric is known formally as drift speed. The drift speed is equal to the the net electric field at the location of the charge multiplied by a the mobility of the mobile charges. Another important property of conductors is that excess charges are always located out the outside on the surface of the conductor. Because the polarization causes the mobile charges to reorient on the surface, the net electric field always goes to zero. This state is known as equilibrium, and it features a electron drift speed equal to 0. The electric field of the polarization of the charges cancels out the electric field applied which which leaves no net electric field inside a conductor when it is at equilibrium.

A Mathematical Model

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

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Examples

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