http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Tkapadia3Physics Book - User contributions [en]2026-05-20T19:50:03ZUser contributionsMediaWiki 1.42.7http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19926Polarization2015-12-06T04:57:58Z<p>Tkapadia3: /* Simple */</p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. <br />
2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. <br />
3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. <br />
4. True. This is the formula for drift speed. <math>\vec{v} = \mu E_{net}</math><br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
== See also ==<br />
<br />
Electric Field. Electric Force. Charge Density. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume II. <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
https://www.boundless.com/physics/textbooks/boundless-physics-textbook/electric-charge-and-field-17/overview-133/polarization-477-6289/<br />
<br />
<br />
<br />
==References==<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
https://arago.elte.hu/sites/default/files/DSc-Thesis-2003-GaborHorvath-01.pdf<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
http://www.innovateus.net/science/what-polarization<br />
<br />
Matter and Interactions Volume II. <br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
http://www.physicsclassroom.com/class/light/Lesson-1/Polarization<br />
<br />
(I made the figures; I did not steal them from online) <br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19919Polarization2015-12-06T04:57:17Z<p>Tkapadia3: /* Simple */</p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. <br />
2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. <br />
3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. <br />
4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math><br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
== See also ==<br />
<br />
Electric Field. Electric Force. Charge Density. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume II. <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
https://www.boundless.com/physics/textbooks/boundless-physics-textbook/electric-charge-and-field-17/overview-133/polarization-477-6289/<br />
<br />
<br />
<br />
==References==<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
https://arago.elte.hu/sites/default/files/DSc-Thesis-2003-GaborHorvath-01.pdf<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
http://www.innovateus.net/science/what-polarization<br />
<br />
Matter and Interactions Volume II. <br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
http://www.physicsclassroom.com/class/light/Lesson-1/Polarization<br />
<br />
(I made the figures; I did not steal them from online) <br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19918Polarization2015-12-06T04:56:47Z<p>Tkapadia3: /* Simple */</p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math><br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
== See also ==<br />
<br />
Electric Field. Electric Force. Charge Density. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume II. <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
https://www.boundless.com/physics/textbooks/boundless-physics-textbook/electric-charge-and-field-17/overview-133/polarization-477-6289/<br />
<br />
<br />
<br />
==References==<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
https://arago.elte.hu/sites/default/files/DSc-Thesis-2003-GaborHorvath-01.pdf<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
http://www.innovateus.net/science/what-polarization<br />
<br />
Matter and Interactions Volume II. <br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
http://www.physicsclassroom.com/class/light/Lesson-1/Polarization<br />
<br />
(I made the figures; I did not steal them from online) <br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19915Polarization2015-12-06T04:56:26Z<p>Tkapadia3: /* Simple */</p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math><br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
== See also ==<br />
<br />
Electric Field. Electric Force. Charge Density. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume II. <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
https://www.boundless.com/physics/textbooks/boundless-physics-textbook/electric-charge-and-field-17/overview-133/polarization-477-6289/<br />
<br />
<br />
<br />
==References==<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
https://arago.elte.hu/sites/default/files/DSc-Thesis-2003-GaborHorvath-01.pdf<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
http://www.innovateus.net/science/what-polarization<br />
<br />
Matter and Interactions Volume II. <br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
http://www.physicsclassroom.com/class/light/Lesson-1/Polarization<br />
<br />
(I made the figures; I did not steal them from online) <br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19867Polarization2015-12-06T04:50:33Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math> <br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
== See also ==<br />
<br />
Electric Field. Electric Force. Charge Density. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume II. <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
https://www.boundless.com/physics/textbooks/boundless-physics-textbook/electric-charge-and-field-17/overview-133/polarization-477-6289/<br />
<br />
<br />
<br />
==References==<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
https://arago.elte.hu/sites/default/files/DSc-Thesis-2003-GaborHorvath-01.pdf<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
http://www.innovateus.net/science/what-polarization<br />
<br />
Matter and Interactions Volume II. <br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
http://www.physicsclassroom.com/class/light/Lesson-1/Polarization<br />
<br />
(I made the figures; I did not steal them from online) <br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19862Polarization2015-12-06T04:50:14Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math> <br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
== See also ==<br />
<br />
Electric Field. Electric Force. Charge Density. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume II. <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
https://www.boundless.com/physics/textbooks/boundless-physics-textbook/electric-charge-and-field-17/overview-133/polarization-477-6289/<br />
<br />
<br />
<br />
==References==<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
https://arago.elte.hu/sites/default/files/DSc-Thesis-2003-GaborHorvath-01.pdf<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
http://www.innovateus.net/science/what-polarization<br />
<br />
Matter and Interactions Volume II. <br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
http://www.physicsclassroom.com/class/light/Lesson-1/Polarization<br />
<br />
(I made the figures, I did not steal them from online) <br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19838Polarization2015-12-06T04:47:02Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math> <br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
== See also ==<br />
<br />
Electric Field. Electric Force. Charge Density. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume II. <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
https://www.boundless.com/physics/textbooks/boundless-physics-textbook/electric-charge-and-field-17/overview-133/polarization-477-6289/<br />
<br />
<br />
<br />
==References==<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
https://arago.elte.hu/sites/default/files/DSc-Thesis-2003-GaborHorvath-01.pdf<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
http://www.innovateus.net/science/what-polarization<br />
<br />
Matter and Interactions Volume II. <br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
http://www.physicsclassroom.com/class/light/Lesson-1/Polarization<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19819Polarization2015-12-06T04:44:47Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math> <br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
== See also ==<br />
<br />
Electric Field. Electric Force. Charge Density. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume II. <br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
https://www.boundless.com/physics/textbooks/boundless-physics-textbook/electric-charge-and-field-17/overview-133/polarization-477-6289/<br />
<br />
<br />
<br />
==References==<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
<br />
https://arago.elte.hu/sites/default/files/DSc-Thesis-2003-GaborHorvath-01.pdf<br />
<br />
http://www.britannica.com/science/electric-polarization<br />
<br />
http://www.innovateus.net/science/what-polarization<br />
<br />
Matter and Interactions Volume II. <br />
<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19793Polarization2015-12-06T04:42:10Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math> <br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
<br />
== See also ==<br />
<br />
Electric Field. Electric Force. Charge Density. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume II. <br />
<br />
<br />
===External links===<br />
<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
http://www.britannica.com/science/electric-polarization<br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
https://www.boundless.com/physics/textbooks/boundless-physics-textbook/electric-charge-and-field-17/overview-133/polarization-477-6289/<br />
<br />
<br />
<br />
==References==<br />
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization<br />
https://arago.elte.hu/sites/default/files/DSc-Thesis-2003-GaborHorvath-01.pdf<br />
http://www.britannica.com/science/electric-polarization<br />
http://www.innovateus.net/science/what-polarization<br />
Matter and Interactions Volume II. <br />
https://www.youtube.com/watch?v=HKgOpmX-OFI<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=File:7wikibookpic.jpg&diff=19689File:7wikibookpic.jpg2015-12-06T04:33:48Z<p>Tkapadia3: </p>
<hr />
<div></div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=File:6wikibookpic.jpg&diff=19685File:6wikibookpic.jpg2015-12-06T04:33:35Z<p>Tkapadia3: </p>
<hr />
<div></div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19681Polarization2015-12-06T04:33:08Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math> <br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. It is seen in 3D Glasses, Infrared spectroscopy, polarized sunglasses, FM radios, and even laptop screens. There are many, many industrial applications. <br />
==History==<br />
Polarization was discovered by Etienne Louis Malus. Etienne Louis Malus was a French physicist in the early 1800s who used concept that light is the range of electromagnetic radiation that humans cannot see to discover the concept we now know as polarization. <br />
<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19580Polarization2015-12-06T04:23:34Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math> <br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a computer engineering major. Honestly, I am not sure yet what Computer Engineering is all about. However, I am aware the polarization is an important concept in electrical engineering. Polarization of light waves seems to be more connected to my major. <br />
#Is there an interesting industrial application?<br />
The concept of polarization itself has many industrial applications. <br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19498Polarization2015-12-06T04:15:43Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math> <br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in? <br />
I have always been fascinated that something that is not charged could be attracted to something that is charged. Polarization explains this at a fundamental level which is something I find interesting. Learning how things at the the subatomic level is always fascinating for me. <br />
#How is it connected to your major?<br />
I am a Computer Engineering Major. <br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19440Polarization2015-12-06T04:09:55Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Determine if the statements below are True or False:<br />
1. There are mobile charges conductors.<br />
<br />
2. The net electric field is equal to 0 in both a conductor and insulator when at equilibrium.<br />
<br />
3. Excess charge is located only the surface of insulators.<br />
<br />
4. The average drift speed is of a mobile charge is proportional to the magnitude of the net electric field the material. <br />
<br />
1 is true. There are mobile charges in conductor. It is insulators that do not have mobile charges. 2. False. The net electric field is 0 at equilibrium only in conductors. It is not the case in insulators. 3. False. The excess charges of conductors are located on the surface. In insulators, the excess charges are anywhere on or inside the material. 4. True. This is the formal for drift speed. <math>\vec{v} = \mu E_{net}</math> <br />
<br />
===Middling===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
<br />
The positive charge of Sphere A creates a electric force which drives the positive mobile charges on away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=19352Polarization2015-12-06T03:59:31Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
What are the mathematical equations that allow us to model polarization? <br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
<br />
==Examples==<br />
<br />
<br />
===Simple===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
===Middling===<br />
Find and show the polarization on Block B and Sphere C is Sphere A is plastic sphere with a positive charge. Block B is natural metal block while Sphere C is plastic sphere. <br />
[[File:6wikibookpic.jpg]]<br />
The positive charge of Sphere A creates a electric force which drives the positive surface charges away while attracting negative surface charges on the block. Due to this electric force the polarization on the block looks as it does below. The polarized block has positive surface charges near sphere C. Sphere C, however, is a conductor which means that there are no surface charges on Sphere C. In sphere C, a reorientation takes places. The negative ends orient close to the positive surface charges. <br />
[[File:7wikibookpic.jpg]]<br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=1116Polarization2015-11-22T09:03:36Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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 below 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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
Does a negatively charged rod cause the metal sphere to polarize? If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
===Middling===<br />
Find the direction of the net electric field at each point. Describe each electric field that is acting to create the net electric field. The square is a insulator while the sphere is a conductor. <br />
[[File:6wikibookpic.jpg]]<br />
The net electric fields are shown below. There is no net electric field at location B because the mobile charges move to the surface of the sphere and <br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=1115Polarization2015-11-22T08:24:16Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
Does a negatively charged rod cause the metal sphere to polarize. If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
===Middling===<br />
<br />
<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=File:5wikibookpic.jpg&diff=1112File:5wikibookpic.jpg2015-11-22T08:11:27Z<p>Tkapadia3: </p>
<hr />
<div></div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=File:4wikibookpic.jpg&diff=1111File:4wikibookpic.jpg2015-11-22T08:11:12Z<p>Tkapadia3: </p>
<hr />
<div></div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=1110Polarization2015-11-22T08:10:32Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{v} = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
Does a negatively charged rod cause the metal sphere to polarize. If so, show the polarization of the neutral metal sphere, describe the electric field, and electric force caused by the negatively charged rod displayed below. <br />
[[File:4wikibookpic.jpg]]<br />
The electric field is toward the negatively charged rod. The electric force is pointed toward the charged as well. Thus the negative mobile charges are pushed to the surface of the far side of the sphere. The polarization essentially makes one giant dipole which has a net electric field of zero inside the sphere. <br />
[[File:5wikibookpic.jpg]]<br />
<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=1109Polarization2015-11-22T07:38:01Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}</math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
<br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}</math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
<br />
Drift Speed: <math>\vec{F } = \mu E_{net}</math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=File:3wikibookpic.jpg&diff=1108File:3wikibookpic.jpg2015-11-22T07:35:51Z<p>Tkapadia3: Polarization for conductors.</p>
<hr />
<div>Polarization for conductors.</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=1107Polarization2015-11-22T07:35:17Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
<br />
Electric Force: <math>\vec{F} = q\vec{E}<math> Where "F" is the electric force, "q" is the charge, and "E" is the electric field. <br />
Dipole Moment: <math>\vec{P} = \alpha \vec{E}<math> Where "P" is the dipole moment, alpha is the polarizability (different for every material), and "E" is the applied electric field. <br />
Drift Speed: <math>\vec{F } = \mu E_{net}<math> Where "v" is the drift speed, mu is the mobility of the charge, and "Enet" is the magnitude of the net electric field. <br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=1106Polarization2015-11-22T07:22:56Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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. <br />
<br />
[[File:1wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:2wikibookpic.jpg]]<br />
<br />
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. <br />
<br />
[[File:3wikibookpic.jpg]]<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=File:2wikibookpic.jpg&diff=1105File:2wikibookpic.jpg2015-11-22T06:26:04Z<p>Tkapadia3: Diagram of polarization in an insulator.</p>
<hr />
<div>Diagram of polarization in an insulator.</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=File:1wikibookpic.jpg&diff=1104File:1wikibookpic.jpg2015-11-22T06:24:03Z<p>Tkapadia3: Made a diagram. Using a diagram.</p>
<hr />
<div>Made a diagram. Using a diagram.</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=1078Polarization2015-11-22T02:01:28Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
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.<br />
<br />
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.<br />
<br />
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. <br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=667Polarization2015-11-12T00:09:20Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 aka Tapas Kapadia <br />
==The Main Idea==<br />
<br />
State, in your own words, the main idea for this topic<br />
Electric Field of Capacitor<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
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==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=542Polarization2015-11-09T18:13:29Z<p>Tkapadia3: </p>
<hr />
<div>Short Description of Topic<br />
Made By: tkapadia3 Tapas Kapadia <br />
==The Main Idea==<br />
<br />
State, in your own words, the main idea for this topic<br />
Electric Field of Capacitor<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Polarization&diff=541Polarization2015-11-09T18:12:21Z<p>Tkapadia3: Created page with "Short Description of Topic ==The Main Idea== State, in your own words, the main idea for this topic Electric Field of Capacitor ===A Mathematical Model=== What are the mat..."</p>
<hr />
<div>Short Description of Topic<br />
<br />
==The Main Idea==<br />
<br />
State, in your own words, the main idea for this topic<br />
Electric Field of Capacitor<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\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.<br />
<br />
===A Computational Model===<br />
<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br />
<br />
==Examples==<br />
<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
===Simple===<br />
===Middling===<br />
===Difficult===<br />
<br />
==Connectedness==<br />
#How is this topic connected to something that you are interested in?<br />
#How is it connected to your major?<br />
#Is there an interesting industrial application?<br />
<br />
==History==<br />
<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
== See also ==<br />
<br />
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
Internet resources on this topic<br />
<br />
==References==<br />
<br />
This section contains the the references you used while writing this page<br />
<br />
[[Category:Which Category did you place this in?]]</div>Tkapadia3http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=540Main Page2015-11-09T18:12:02Z<p>Tkapadia3: /* Fields */</p>
<hr />
<div>__NOTOC__<br />
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!<br />
<br />
Looking to make a contribution?<br />
#Pick a specific topic from intro physics<br />
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.<br />
#Copy and paste the default [[Template]] into your new page and start editing.<br />
<br />
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.<br />
<br />
== Source Material ==<br />
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).<br />
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]<br />
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]<br />
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]<br />
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]<br />
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]<br />
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]<br />
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]<br />
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]<br />
<br />
== Organizing Catagories ==<br />
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.<br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
===Interactions===<br />
<div class="mw-collapsible-content"><br />
*[[Fundamental Interactions]] <br />
*[[System & Surroundings]] <br />
<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Theory===<br />
<div class="mw-collapsible-content"><br />
*[[Einstein's Theory of Relativity]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Notable Scientists===<br />
<div class="mw-collapsible-content"><br />
*[[Albert Einstein]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
<br />
===Properties of Matter===<br />
<div class="mw-collapsible-content"><br />
*[[Mass]]<br />
*[[Charge]]<br />
*[[Spin]]<br />
*[[SI Units]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Contact Interactions===<br />
<div class="mw-collapsible-content"><br />
* [[Young's Modulus]]<br />
* [[Friction]]<br />
* [[Tension]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Momentum===<br />
<div class="mw-collapsible-content"><br />
* [[Vectors]]<br />
* [[Kinematics]]<br />
* Predicting Change in one dimension<br />
* [[Predicting Change in multiple dimensions]]<br />
* [[Momentum Principle]]<br />
* [[Curving Motion]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Angular Momentum===<br />
<div class="mw-collapsible-content"><br />
* [[The Moments of Inertia]]<br />
* [[Rotation]]<br />
* [[Torque]]<br />
* Predicting a Change in Rotation<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Energy===<br />
<div class="mw-collapsible-content"><br />
*[[Predicting Change]]<br />
*[[Rest Mass Energy]]<br />
*[[Kinetic Energy]]<br />
*[[Potential Energy]]<br />
*[[Work]]<br />
*[[Thermal Energy]]<br />
*[[Conservation of Energy]]<br />
*[[Electric Potential]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Fields===<br />
<div class="mw-collapsible-content"><br />
* [[Electric Field]] of a<br />
** [[Point Charge]]<br />
** [[Electric Dipole]]<br />
** [[Capacitor]]<br />
** [[Charged Rod]]<br />
** [[Charged Ring]]<br />
** [[Charged Disk]]<br />
** [[Charged Spherical Shell]]<br />
*[[Electric Potential]] <br />
**[[Potential Difference in a Uniform Field]]<br />
*[[Polarization]]<br />
*[[Magnetic Field]]<br />
**[[Direction of Magnetic Field]]<br />
**[[Bar Magnet]]<br />
**[[Magnetic Force]]<br />
**[[Hall Effect]]<br />
**[[Lorentz Force]]<br />
**[[Biot-Savart Law]]<br />
**[[Integration Techniques for Magnetic Field]]<br />
**[[Sparks in Air]]<br />
**[[Motional Emf]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Simple Circuits===<br />
<div class="mw-collapsible-content"><br />
*[[Components]]<br />
*[[Steady State]]<br />
*[[Non Steady State]]<br />
*[[Node Rule]]<br />
*[[Loop Rule]]<br />
*[[Power in a circuit]]<br />
*[[Ammeters,Voltmeters,Ohmmeters]]<br />
*[[Current]]<br />
*[[Ohm's Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Maxwell's Equations===<br />
<div class="mw-collapsible-content"><br />
*[[Gauss's Flux Theorem]]<br />
**[[Electric Fields]]<br />
**[[Magnetic Fields]]<br />
*[[Faraday's Law]]<br />
**[[Inductance]]<br />
*[[Ampere-Maxwell Law]]<br />
</div><br />
</div><br />
<br />
<div class="toccolours mw-collapsible mw-collapsed"><br />
<br />
===Radiation===<br />
<div class="mw-collapsible-content"><br />
</div><br />
</div><br />
<br />
== Resources ==<br />
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]<br />
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]<br />
* A page to keep track of all the physics [[Constants]]<br />
* An overview of [[VPython]]</div>Tkapadia3