Electric Dipole Moment: Difference between revisions

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Claimed by Summer Mia Bain (Spring 2017)
Created by Summer Mia Bain (Spring 2017)


An electric dipole is created by the combination of two equal and oppositely charged atoms of charge '''q''' that are separated by a a distance ""s"". An electric dipole is the simplest piece of neutral matter that can be analyzed in detail. The size of the dipole is measured by its dipole moment "p" which is a product of its charge "q" and distance "s".
An electric dipole is created by the combination of two equal and oppositely charged atoms of charge '''q''' that are separated by a a distance ""s"". An electric dipole is the simplest piece of neutral matter that can be analyzed in detail. The size of the dipole is measured by its dipole moment "p" which is a product of its charge "q" and distance "s". The electric dipole moment points from the negative to the positive charge


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


State, in your own words, the main idea for this topic
Electric Field of Capacitor


===A Mathematical Model===
===A Mathematical Model===
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<math> \boldsymbol{p} = \boldsymbol{s} \times\mathbf{q}</math>
<math> \boldsymbol{p} = \boldsymbol{s} \times\mathbf{q}</math>
Objects with electric dipole moments are also able to undergo a torque in the presence of electric fields, which will cause it to rotate
<math> \mathbf{τ} = \boldsymbol{p} \times\mathbf{E}</math>
''Note, this multiplication sign here signifies as "cross product" ''


===A Computational Model===
===A Computational Model===


How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]
[[File:electricdipolemoment.png]]
 
This image shows the electric dipole moment, a vector quantity thats expresses the strength of a dipole. Notice how the electric dipole moment goes from the negative charge to the positive charge.


==Examples==
==Examples==




===Simple===
 


[[File:Simple_DipoleMoment.png]]
[[File:Simple_DipoleMoment.png]]


'''Find the electric dipole moment of this system'''
1)'''Find the electric dipole moment of this system'''


'''Steps'''
'''Steps'''
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<math> \boldsymbol{|p|} =  \boldsymbol{qa} \displaystyle {\sqrt {2}} </math>
<math> \boldsymbol{|p|} =  \boldsymbol{qa} \displaystyle {\sqrt {2}} </math>


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




==History==


Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
2)'''An electric dipoles has a charge of 3.2 * 10^-19C and a separation distance of 0.25 nm. The electric field is 4* 10^6 N/C. It is oriented along the y axis'''
 
''(a) What is the magnitude and direction of the electric dipole moment?''
 
p = qd
    = (3.2*10^-19 C) (0.25 * 10^-9)
    = 8 * 10^- 29 Cm + j
 
''(b) What is the force on each charge and the net force of the entire dipole''
 
F = qE
    = 3.2 * 10^-19C  *  4* 10^6 N/C
    = 1.28 * 10 ^ -12 N
 
''(c) What is the magnitude of the net torque?''
T = PEsin theta
    =(8*10^-29)*(4*10^6) sin(90)
    = 3.2 * 10 ^-22 Nm


== See also ==
== See also ==
[http://www.physicsbook.gatech.edu/Electric_Dipole Electric Dipole]


Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?
[http://www.physicsbook.gatech.edu/Magnetic_Dipole_Moment Magnetic Dipole Moment]


===Further reading===
[http://www.kshitij-iitjee.com/Electric-dipole-in-an-electric-field Electric dipole in an electric field]


Books, Articles or other print media on this topic


===External links===
===External links===


Internet resources on this topic
[http://hyperphysics.phy-astr.gsu.edu/hbase/electric/dipole.html Hyper Physics - Electric Dipoles]


==References==
==References==


This section contains the the references you used while writing this page
[https://en.wikipedia.org/wiki/Electric_dipole_moment Wikipedia Page]
 
[[Category:Which Category did you place this in?]]

Latest revision as of 21:20, 2 December 2018


Created by Summer Mia Bain (Spring 2017)

An electric dipole is created by the combination of two equal and oppositely charged atoms of charge q that are separated by a a distance ""s"". An electric dipole is the simplest piece of neutral matter that can be analyzed in detail. The size of the dipole is measured by its dipole moment "p" which is a product of its charge "q" and distance "s". The electric dipole moment points from the negative to the positive charge

The Main Idea

A Mathematical Model

The electric dipole moment is represented by the letter "p". This set is equal to the charge of the atom in an electric dipole multiplied by the distance between the atoms.

[math]\displaystyle{ \boldsymbol{p} = \boldsymbol{s} \times\mathbf{q} }[/math]

Objects with electric dipole moments are also able to undergo a torque in the presence of electric fields, which will cause it to rotate

[math]\displaystyle{ \mathbf{τ} = \boldsymbol{p} \times\mathbf{E} }[/math]

Note, this multiplication sign here signifies as "cross product"

A Computational Model

This image shows the electric dipole moment, a vector quantity thats expresses the strength of a dipole. Notice how the electric dipole moment goes from the negative charge to the positive charge.

Examples

1)Find the electric dipole moment of this system

Steps

1) Spilt the 2q charge into 2 charges, a positive charge and a negative

2) Notice the geometry of the system, because it has 2 sides of equal length it is a 45-45-90 triangle

3) Solve using the following mathematical equations

[math]\displaystyle{ \boldsymbol{p}^2 = \boldsymbol{p1}^2 \times\boldsymbol{p2}^2 }[/math]

[math]\displaystyle{ \boldsymbol{|p|} = \displaystyle {\sqrt {{p1}^2 + {p2}^2 }} }[/math]

[math]\displaystyle{ \boldsymbol{|p|} = \boldsymbol{qa} \displaystyle {\sqrt {2}} }[/math]



2)An electric dipoles has a charge of 3.2 * 10^-19C and a separation distance of 0.25 nm. The electric field is 4* 10^6 N/C. It is oriented along the y axis

(a) What is the magnitude and direction of the electric dipole moment?

p = qd

   = (3.2*10^-19 C) (0.25 * 10^-9)
   = 8 * 10^- 29 Cm + j

(b) What is the force on each charge and the net force of the entire dipole

F = qE

   = 3.2 * 10^-19C  *  4* 10^6 N/C
   = 1.28 * 10 ^ -12 N

(c) What is the magnitude of the net torque?

T = PEsin theta
   =(8*10^-29)*(4*10^6) sin(90)
   = 3.2 * 10 ^-22 Nm

See also

Electric Dipole

Magnetic Dipole Moment

Electric dipole in an electric field


External links

Hyper Physics - Electric Dipoles

References

Wikipedia Page