Electric Dipole Moment

Claimed 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

The main idea for this topic is to define the electric dipole moment . The electric dipole moment is a vector quantity The magnetic moment is a vector quantity that is used to calculate the torque generated by a magnetic field while the magnetic dipole moment is a value used to define the current of a loop to find the magnetic field on axis.

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

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

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

A Computational Model

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Examples

Simple

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]

History

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See also

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Further reading

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External links

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References

Wikipedia Page