What is Permittivity: Definition and 142 Discussions

In electromagnetism, the absolute permittivity, often simply called permittivity and denoted by the Greek letter ε (epsilon), is a measure of the electric polarizability of a dielectric. A material with high permittivity polarizes more in response to an applied electric field than a material with low permittivity, thereby storing more energy in the material. In electrostatics, the permittivity plays an important role in determining the capacitance of a capacitor.
In the simplest case, the electric displacement field D resulting from an applied electric field E is





D

=
ε

E

.


{\displaystyle \mathbf {D} =\varepsilon \mathbf {E} .}
More generally, the permittivity is a thermodynamic function of state. It can depend on the frequency, magnitude, and direction of the applied field. The SI unit for permittivity is farad per meter (F/m).
The permittivity is often represented by the relative permittivity εr which is the ratio of the absolute permittivity ε and the vacuum permittivity ε0




κ
=

ε


r



=


ε

ε

0






{\displaystyle \kappa =\varepsilon _{\mathrm {r} }={\frac {\varepsilon }{\varepsilon _{0}}}}
.This dimensionless quantity is also often and ambiguously referred to as the permittivity. Another common term encountered for both absolute and relative permittivity is the dielectric constant which has been deprecated in physics and engineering as well as in chemistry.By definition, a perfect vacuum has a relative permittivity of exactly 1 whereas at STP, air has a relative permittivity of κair ≈ 1.0006.
Relative permittivity is directly related to electric susceptibility (χ) by




χ
=
κ

1


{\displaystyle \chi =\kappa -1}
otherwise written as




ε
=

ε


r




ε

0


=
(
1
+
χ
)

ε

0




{\displaystyle \varepsilon =\varepsilon _{\mathrm {r} }\varepsilon _{0}=(1+\chi )\varepsilon _{0}}

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  1. Istiak

    Find electric field inside a material

    From the second equation I get that, ##\vec D =\frac{q}{4\pi \vec r^2}\hat r## From first equation I get that ##\vec E = \frac{q}{4\pi \vec r^2 \epsilon}=\frac{q}{4\pi \vec r^2 K \epsilon_0}## But I saw that the answer is ##\vec E=\frac{\vec E_0}{K}## While writing the comment my mind said...
  2. DuckAmuck

    I Are permittivity and permeability quantities that can be predicted?

    For example, can you predict the permittivity and permeability of a substance if you know what the atomic composition is? Is it a stat mech problem?
  3. L

    I How Does Each Element in the Permittivity Tensor Matrix Represent an Anisotropic Material?

    If I have an anisotropic material with permittivity: $$\epsilon= \begin{pmatrix} \epsilon_{ii} & \epsilon_{ij} & \epsilon_{ik} \\ \epsilon_{ji} & \epsilon_{jj} & \epsilon_{jk} \\ \epsilon_{ki} & \epsilon_{kj} & \epsilon_{kk} \\ \end{pmatrix} $$ What exactly does each element represent in this...
  4. LarryS

    Electrical Permittivity of Classical Vacuum - Physical?

    The Vacuum Permittivity of the classical vacuum seems to be for just conversion of units in Coulomb's Law, like Coulomb's Constant in disguise. Does the Electrical Permittivity of the Vacuum in classical electromagnetism have any real physical significance other than in the above context...
  5. Efeguleroglu

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  6. A

    Can you calculate optical density from permittivity and permeability?

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  7. Mircro

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  8. R

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  9. currently

    Schrodinger's Equation in terms of vacuum permittivity?

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  10. L

    Capacitance with dielectric permittivity that depends on r

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  11. uzi kiko

    A The relation between imaginary part of permittivity to conductivity

    Hi When I read the following article: http://nopr.niscair.res.in/bitstream/123456789/14183/1/IJPAP%2050%286%29%20405-410.pdf I tried to convert the value of the conductivity for saline in 500 MHz. At the article, they present the conductivity as ε'' = 70. Which ε'' is the imaginary part of...
  12. Sadek

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  13. N

    A Symmetry of the permittivity tensor of lossless media

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  14. tworitdash

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  15. Y

    I Resultant of Different Permittivity substances

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  16. qnach

    Connection between relative permittivity and bandwidth

    What is the connection of relative permittivity and bandwidth of an antenna? Higher relative permittivity resulted in high wider bandwidth?
  17. S

    I How was the value of the permittivity of free space determined?

    The permittivity of free space, ε0, is usually given without any derivation or historical context as to how it was experimentally determined. Could you explain to me how the value of ε0 was first determined experimentally or provide a resource that gives such a derivation? Thanks!
  18. I

    I Drude Model Permittivity Formula - e^iwt or e^(-iwt)?

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  19. T

    Refractive index of light from permittivity

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  20. A

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  21. A

    How charge density of plate is changed by permittivity

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  22. Conductivity

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  23. T

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  24. P

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  25. M

    A Can Relative Permittivity of Aluminum Be Calculated from Its Plasma Frequency?

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  26. M

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  27. M

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  28. Pushoam

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  29. mpolo

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  30. shishi

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  31. Radiosan

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  32. W

    I Data needed: Relative permittivity of air

    Where can I found values of the relative permittivity of air at different temperatures, frequencies, pressure, humidity, etc. or its dependence? I'm particularly interested in data around 1.4 GHz, 25ºC, 1 atm. 50% hum. Thanks in advance.
  33. C

    B Does gravity change the permittivity/ permeability of vacuum?

    For example if you send a light beam towards a massive object the propagation speed will reduce if μ and ε are increasing, but the spacetime curvature will compensate for that reduction.
  34. M

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    I just have a few conceptual questions: Is it as difficult to remove electrons from an insulator as it is to add to it? I understand insulators have a lower permittivity than conductors, and that they still allow charges to build upon the surface. However, I read that when you rub an insulator...
  35. P

    Permittivity of a Lossy Medium using Antennas

    First of all I will being with I'm not an electric engineer so I might be out of my wits, but I will give it a try. So I have an instrument which reads relative permittivity using a transmitter and two receiver placed at different distances. The instrument is calibrated to read either in a...
  36. D

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    Many textbooks and online sources give the relative permittivity of water as about 80 and the refractive index as 1.33. If you use the definition of refractive index to find the speed of light in water, you will find v = c/n ~ 2.56e8 m/s. However, if you use the equation to find the speed of...
  37. Twigg

    I Interpreting the Permittivity of Metals

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  38. TheSodesa

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  39. N

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  40. gracy

    B What is the Physical Meaning of Permittivity of Free Space?

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  41. Antonino Tobia

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  42. naiasetvolo

    Why do we multiply permittivity of vacuum with relative permittivity?

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  43. G

    Electrostatics: Find relative permitivitty

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  44. B

    Physical cause of a negative real part of the permittivity

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  45. LarryS

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  46. J

    How Should Relative Permittivity Be Applied in Electric Field Calculations?

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  47. W

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  48. K

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  49. T

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