Electric dipoles

Storyboard

When you have two equal charges but opposite sign we speak of a dipole. The field that generates a dipole is characteristic because the lines emerge from one of the charges and end in the other generating a closed pattern.

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Mechanisms

Iframe

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Code
Concept

Mechanisms

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Dipole structure

Image

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The dipole is constituted by two (di) electric charges equal in charge but of opposite sign. Thus they form an electric field with two poles that is a dipole.

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Model

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Parameters

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$\epsilon$
epsilon
Dielectric constant
-
$\epsilon_0$
epsilon_0
Electric field constant
C^2/m^2N
$\pi$
pi
Pi
rad

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$\theta$
theta
Angle relative to the Dipole
rad
$Q$
Q
Charge
C
$P$
P
Dipole moment
$r$
r
Distance
m
$r$
r
Distance between charges
m
$V$
V
Electric potential
V

Calculations


First, select the equation: to , then, select the variable: to

Calculations

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

Variable Given Calculate Target : Equation To be used




Equations

#
Equation

$ P = r Q $

P = r * Q


$ \varphi = \displaystyle\frac{1}{4 \pi \epsilon_0 \epsilon }\displaystyle\frac{ P \cos \theta }{ r ^2}$

phi = P *cos( theta )/(4* pi * e_0 * e * r ^2)

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Dipole moment

Equation

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The di-polar moment depends on the Q charges and the distance d between them, being

$ P = r Q $

where P is the di-polar moment.

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Dipole potential energy

Equation

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A dipole generates a potential that at a distance r under the angle \theta has a value

$ \varphi = \displaystyle\frac{1}{4 \pi \epsilon_0 \epsilon }\displaystyle\frac{ P \cos \theta }{ r ^2}$

where P is the di-polar moment.

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