Understanding Dielectric Polarisation: Transformation of Dipoles and Charges

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Dielectric polarization involves the rearrangement of dipoles within a dielectric material when placed between charged plates, resulting in the creation of surface charges that oppose the electric field from the plates. This process increases the capacitance by allowing a greater charge difference for a given potential difference. The effectiveness of polarization is quantified by electric susceptibility, which indicates how easily a material polarizes in response to an electric field, with higher susceptibility leading to greater polarization and lower net electric fields. The relationship between susceptibility and permittivity shows that while susceptibility measures sensitivity to the electric field, permittivity relates to the charge required to achieve the same electric field in different materials. Understanding these concepts is crucial for applications involving capacitors and dielectrics in electrical engineering.
gracy
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A dielectric is placed between two capacitors ,How (a) gets transformed into (b)
m.png


Where did all the dipoles present in picture (a)go?And from where the negative and positive charges appeared inside the dielectric in picture (b)
 
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The + and - poles in the middle region will cancel each other. That will leave +ve polarity near -vely charged plate and -ve polarity near the +vely charged plate. Its a rearrangement of the charges inside the dielectric. I believe its called dipole polarization.
 
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cnh1995 said:
The + and - poles in the middle region will cancel each other.

Then these dipoles should remain which I have shown in blue box.
H.png
 
gracy said:
Then these dipoles should remain which I have shown in blue box.
View attachment 93002
Their poles near the walls cause the electric field inside the dielectric.
 
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I still don't understand.
 
gracy said:
I still don't understand.
h-png.93002.png

Consider left blue column. Its +ve poles will nullify the effect of the -ve poles of the next column. This will go on till the last column(rightmost blue). The +ve poles of the last column and -ve poles of the first (leftmost blue) column will create the electric field inside the dielectric which will be opposite to the one created by the plates.
 
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Got it!Thanks
 
gracy said:
Got it!Thanks
Well that's the overall picture of how it works. Its not in proper physics language so I guess gneill or some other expert will later come up with a way better explanation. Until then, hope this is fine.
 
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cnh1995 said:
h-png.93002.png

Consider left blue column. Its +ve poles will nullify the effect of the -ve poles of the next column. This will go on till the last column(rightmost blue). The +ve poles of the last column and -ve poles of the first (leftmost blue) column will create the electric field inside the dielectric which will be opposite to the one created by the plates.
I'm not sure if "nullify" is the proper word here. I believe it should be "attract".This structure forms a resultant single large dipole that opposes the field due to the plates. Think of the dipoles as batteries connected in series. Their voltages will add and across the two far ends, this total voltage will be available. Similarly, the fields of the dipoles will add and the resultant field will be available inside the dielectric ,opposite to that of the plates.
 
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  • #10
gracy said:
Where did all the dipoles present in picture (a)go?And from where the negative and positive charges appeared inside the dielectric in picture (b)
It is just showing that the dielectric material has no bulk volumetric charge density, but does have a surface charge density.
 
  • #11
I know The electric susceptibility of a dielectric material is a measure of how easily it polarizes in response to an electric field.I t is denoted by χe But I want to know what does this mean
The electric susceptibility of a dielectric material is a measure of how easily it polarizes in response to an electric field.

My question is what is ease / difficulty when it comes to polarization of dielectric?
 
  • #12
gracy said:
My question is what is ease / difficulty when it comes to polarization of dielectric?
The effect of introducing a dielectric - with its easily polarised molecules is to increase the Capacitance between two conductors (plates). That means the charge difference between the plates will be much greater for a given PD across them. The charges on the faces of the dielectric - and the charges on the plates - correspond to what you would get if the plates were much closer together in air. The practical advantage is that a thick layer of insulating dielectric will allow a much greater operating voltage (hence a greater stored charge for a given capacitance) and reduce the requirement for the plates to be accurately flat (i.e. the percentage accuracy of the spacing for the area). The 'ease' is proportional to εr (>1) because, of course, the hardest is a vacuum (εr = 1). The easiest is a metal conductor. Unfortunately, a conductor will polarise with no PD across it and allow the charge to pass through it so you would also need an air gap in series, to use it in a capacitor.
 
  • #13
gracy said:
My question is what is ease / difficulty when it comes to polarization of dielectric?
Suppose the field established by the charges on the plates is Eo and there is no dielectric, just air(or vacuum). Now if a dielectric slab is inserted, it will be polarized and create its own opposing field E1 which will reduce the net field strength in the dielectric.
So, net field inside the dielectric is now,
Enet=Eo-E1
and the ratio Eo/Enet is called as the relative permittivity εr or the dielectric constant.
From this you can see why εr=1 for vacuum and ∞ for conductors.
With increase in εr, degree of polarization increases and net field between the plates decreases. That's what the word "ease" describes here.
 
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  • #14
gracy said:
electric susceptibility of a dielectric material is a measure of how easily it polarizes in response to an electric field
εre+1.
So, as the susceptibility increases, relative permittivity increases, easing the polarization.
You can see, χe=0 for vacuum since it is the least(or not at all) susceptible dielectric.
 
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  • #15
gracy said:
I know The electric susceptibility of a dielectric material is a measure of how easily it polarizes in response to an electric field.I t is denoted by χe But I want to know what does this mean
The electric susceptibility of a dielectric material is a measure of how easily it polarizes in response to an electric field.

My question is what is ease / difficulty when it comes to polarization of dielectric?
Something is called easy when a result can be achieved with less effort. In this case the result is the polarization of the material which in turn determine total electric charge stored in a capacitor while the effort is the potensial required to polarize the material for required quantity of electric charge.
 
  • #16
It may help if you look at the actual formula defining the susceptibility.
## \vec{P} = \chi \vec{E} ##
A large susceptibility means that you can get the same polarization with a lower field. So it is "easier" to get it, isn't it?
There are many similar cases.
Mass measures "how easy" is to accelerate something (F=ma).

Note: In SI the formula above contains the permitivity ## \epsilon_o ## of free space too but this does not change the relationship.
 
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  • #17
nasu said:
A large susceptibility means that you can get the same polarization with a lower field. So it is "easier" to get it, isn't it?
And how it (susceptibility)does that?I know it is property of a material but how susceptibility contributes in polarization of a material?
 
  • #18
gracy said:
And how it (susceptibility)does that?I know it is property of a material but how susceptibility contributes in polarization of a material?
"How"? Do you mean the mechanics of the material?
 
  • #19
gracy said:
And how it (susceptibility)does that?I know it is property of a material but how susceptibility contributes in polarization of a material?
I believe that depends on the "chemistry" of the material. There are various types of polarization e.g. dipolar , electronic, ionic polarization etc.
In dipolar polarization(the one shown in #1) ,dipoles are created in the dielectric in response to the applied electric field ,resulting in an opposing field, thus reducing the original field.
P=χ*E gives the relationship between polarization, susceptibility and the net electric field(E) in the dielectric.
If no opposing field is generated (e.g.vacuum), P=0(no polarization), thus giving χ=0 ( i.e. vacuum is not susceptible to the applied field) and in case of conductors, E=0 (i.e. they are too much susceptible!), thus giving χ=∞. Other dielectrics show intermediate susceptibility.
gracy said:
And how it (susceptibility)does that?
I would say susceptibility doesn't do that but the materials do, by means of their chemistry and applied electric field. This behavior of the materials to respond to the applied electric field is quantified by "defining" what we call as their "susceptibility". It is a constant "determined" as the constant of proportionality in the experimentally obtained equation, P∝Enet.
 
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  • #20
gracy said:
And how it (susceptibility)does that?I know it is property of a material but how susceptibility contributes in polarization of a material?
I don't think that this question is what you want to ask. Susceptibility is simply defined this way, so the question is a little like asking how mass makes a particle more difficult to accelerate.

I think what you probably actually want to know is what are the microscopic properties in a material that make it have high susceptibility. This question is more like asking what about a material makes it have high mass.
 
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  • #21
What is difference between permittivity and susceptibility?I find them same.Because dipole creation, electric field reduction, and surface charge density are all ways to interpret the effects of permittivy. A permittivity value just tells us how strong the effects are.And that's what susceptibility indicates!
 
  • #22
vector ##E##=vector ##E_o##-vector ##E_p##
vector ##E##=##\frac{E_o}{K}##
Is the following relation correct
K(##E_o## -vector ##E_p##)=##E_o##
 
  • #23
gracy said:
A permittivity value just tells us how strong the effects are.And that's what susceptibility indicates!
Right. But permittivity gives the relation between net field and the original field while susceptibility gives the relation between polarization and the net field. So, according to my understanding, permittivity tells you how "strong"(may not be the correct word) a dielectric is w.r.t vacuum( free space) while susceptibility tells you how sensitive a material is to the applied electric field. Susceptibility is a general term and doesn't depend on vacuum. But permittivity is first defined for vacuum and then applied to all the other materials (using relative permittivity or the dielectric constant).
Susceptibility measures the sensitivity of the dielectric to the applied field through polarization while permittivity tells you how much charge is required(or permitted) to create the same electric field in different dielectrics.
 
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  • #24
gracy said:
vector ##E##=vector ##E_o##-vector ##E_p##
vector ##E##=##\frac{E_o}{K}##
Is the following relation correct
K(##E_o## -vector ##E_p##)=##E_o##
Yes.
 
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  • #25
If I will give charge density σ to a dielectric and then will give same charge density to different material,will vector ##E## be different in each of them?
 
  • #26
gracy said:
If I will give charge density σ to a dielectric and then will give same charge density to different material,will vector ##E## be different in each of them?
Yes. That is what happens in capacitors.
 
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  • #27
I know
##εo##=##\frac{σ}{E}##
Does the below formula exist
##ε##=##\frac{σ}{E}##
 
  • #28
Susceptibility ,polarization when external field is applied ,permittivity ,relative permittivity are all these only for dielectrics not for conductors ?
 
  • #29
gracy said:
I know
##εo##=##\frac{σ}{E}##
Does the below formula exist
##ε##=##\frac{σ}{E}##
Yes. ε=εoεr. In case of vacuum, εr=1, so there's only εo in the formula.
 
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  • #30
gracy said:
Susceptibility ,polarization when external field is applied ,permittivity ,relative permittivity are all these only for dielectrics not for conductors ?
Conductors are extreme cases of permittivity and susceptibility.
 
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  • #31
cnh1995 said:
Yes. ε=ε0εr. In case of vacuum, εr=1, so there's only εo in the formula.
##ε0##=##\frac{σ}{E}##
in case of vacuum
but in case of other materials we should apply the below formula
##ε##=##\frac{σ}{E}##
Right?
 
  • #32
gracy said:
##ε0##=##\frac{σ}{E}##
in case of vacuum
but in case of other materials we should apply the below formula
##ε##=##\frac{σ}{E}##
Right?
Right.
 
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  • #33


Here (in the video)permittivity of vacuum is taken into consideration not of the slab ,why?
 
  • #34
gracy said:


Here (in the video)permittivity of vacuum is taken into consideration not of the slab ,why?

Slab is metallic. E field inside it will be 0. The video is about how charge density on the metal plate will vary with the permittivity of the surroundings.
 
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  • #35
cnh1995 said:
permittivity tells you how much charge is required(or permitted) to create the same electric field in different dielectrics.

How can I apply the above mentioned function of permittivity to the surrounding?
 
  • #36
gracy said:
How can I apply the above mentioned function of permittivity to the surrounding?
There will be field lines from +ve charge density towards -ve charge density "through" the surrounding. It is similar to what happens inside a capacitor.
 
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  • #37
You mean some charges must be there to produce that "applied electric field".And then permittivity of surrounding will come into picture.The fields shown in the video have gone through all of these.
 
  • #38
gracy said:
You mean some charges must be there to produce that "applied electric field".And then permittivity of surrounding will come into picture.The fields shown in the video have gone through all of these.
Yes. The charge densities act as a dipole. So, there will be field lines in the surroundings, joining the two charge densities.
 
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  • #39
cnh1995 said:
permittivity tells you how "strong"(may not be the correct word) a dielectric is w.r.t vacuum( free space)
But it is permittivity of free space that tells us how "strong"(may not be the correct word) a dielectric is w.r.t vacuum( free space) if we look at permittivity of other materials how it differs from their susceptibility?
 
  • #40
Both of them tell something about how "strong" is the dielectric but this is just a "metaphoric" way to describe them. You spend way too much time with matter of little relevance and questions expressed in somehow confusing terms.
The equations tells it all without any room for misinterpretation: susceptibility is used to write the relationship between external field and polarization whereas relative permitivity (or dielectric strength or dielectric constant) for the relationship between the external field and the net field in the dielectric. They both depend on the same property of teh material: the ability to "produce" electric dipoles in the presence of a field. None of them has more (or less) meaning than the other. If you know one you can get the other.

The vacuum permitivity you can leave out of this. It is more like a matter of units and not really o property of a "material" in the same sense as the dielectric constant.
 
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  • #41
gracy said:
But it is permittivity of free space that tells us how
No. I said it is the permittivity of the material, not free space.
 
  • #42
cnh1995 said:
permittivity gives the relation between net field and the original field
You meant relative permittivity?
 
  • #43
gracy said:
You meant relative permittivity?
I meant actual permittivity(ε) of the material(εoεr).
 
  • #44
But it's relative permittivity which is also called dsielectric constant that's gives the relation between net field and the original field
##K##=##\frac{E_O}{E}##
 
  • #45
gracy said:
But it's relative permittivity which is also called dsielectric constant that's gives the relation between net field and the original field
##K##=##\frac{E_O}{E}##
Right.
 
  • #46
That's what I asked in post #42
 
  • #47
gracy said:
That's what I asked in post #42
Yeah right. I meant the concept of permittivity (relative permittivity is a part of that) compared to the concept of susceptibility.
 
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