Dielectric Definition and 732 Threads

  1. Q

    Spherical cavity in a dielectric with a point charge inside

    Homework Statement I am trying to find the force acting on a charge placed a distance r0 from the center of a spherical cavity of radius a. The entire cavity is immersed in a dielectric material, epsilon2. Homework Equations The Attempt at a Solution Here's my quandary: I can find the...
  2. S

    Deriving the dielectric constant of water

    We derived a formula to calculate the dielectric constant for some materials. It works well for gases and some liquids. But, water has a extraordinary dielectric constant of ~80. I tried googling it up but couldn't find any place which explains (mathematically) why it's so big. The professor...
  3. C

    Charge transfer within a dielectric

    Hi, this simple principle is proving difficult to resolve. We need a concise formula to describe the following: An air dielectric is formed between two fixed electrodes. When a charged polymer is passed between them the containment field is modulated. We require an elegant formula to...
  4. C

    Dielectric Modulation: Motion Sensor, 200V Containment Field, 100mV Modulation

    We have recently developed a motion sensor that introduces charge into an electric field. From the 200V (containment field) we derive a modulation of 100mV. Although the sensor has passed pre-production tests we are struggling to come up with a simple formula to describe the operation. Can...
  5. E

    Point dipole embedded in dielectric sphere

    Homework Statement A point dipole p is embedded at the center of a sphere of linear dielectric material (with radius R and dielectric constant \epsilon_{r} ). Find the electric potential inside and outside the sphere.Homework Equations Well I'm guessing that using the method of separation of...
  6. C

    High dielectric strength insulator

    Hi, Does anyone know which insulator will have very high dielectric strength at room temperature? The dielectric strength is the electric filed strength of a material can resist before it breakdown.
  7. X

    Electron in dielectric cube (Quantum Mechanics)

    Homework Statement [PLAIN]http://img408.imageshack.us/img408/1685/wergp.png Homework Equations H\psi = E\psi The Attempt at a Solution For part a) I used H\psi = E\psi to get: E = \frac{\widehat{p}}{2m} + \frac{Kx^2}{2} + \frac{e\Phi_o}{a}x and assuming E = Q? and rearranging for K...
  8. M

    Maximum Voltage without causing Dielectric Breakdown?

    1. What plate area is required if an air-filled, parallel-plate capacitor with a plate separation of 2.3 mm is to have a capacitance of 24 pF? Which I found correctly to be 6.2 x 10^-3 m^2 by using the formula C= k(8.85x10^-12)A/d What is the maximum voltage that can be applied to this...
  9. G

    Relative dielectric constant - More than one dielectric in a capacitor

    Homework Statement A parallel plane capacitor with conducting plates area \Sigma= 400cm2, distant d=5mm, is half filled of mica (k1=5) and half filled of paraffin (k2=2). Calculate: a) C (Capacitance of the capacitor) ...othersHomework Equations None The Attempt at a Solution I haven't...
  10. G

    Calculating Force on Dielectric in Parallel Plate Capacitor

    Homework Statement Hello there: In electrodynamics where there is a two parallel plane capacitor filled partially with air and partially with a dielectric \epsilon > 1 connected to a voltage V, The question is to calculate the force on the dielectric.. ¿¿Does anybody...
  11. P

    Parallel plate capacitor with dielectric. Find capacitance

    Homework Statement The plates of a parallel plate capacitor measure 15cm x 15cm, and they are separated by 6cm. The capacitor is charged with a potential difference of 18V, then removed from the voltage source and kept isolated. A 15cm x 15cm x 3cm slab of dielectric material (k = 2.5) is...
  12. S

    Dielectric Capacitor: Calculation and Force Exertion

    Homework Statement You have 2 square metal plates of side length L, separated by a very small distance d. The two plates are held at fixed potential difference ΔV by a battery. A thin slab with dielectric constant κ and thickness d is inserted a distance x into the gap between the plates...
  13. O

    Why would voltage stay the same when a dielectric is introduced?

    http://www.screencast.com/users/trinhn812/folders/Jing/media/9527c4fa-05b4-4baa-98ee-2a3ad47e7e5a I need an explanation for question 6. Why would voltage stay the same across capacitor 3? The dielectric increases capacitance which is inversely related to voltage correct? The equation...
  14. L

    D-field -> E-field when the dielectric constant is a function of space

    Hello everyone, I am a little reluctant to post this question because it is a common problem type assigned for introductory electrodynamics courses, so I understand any level of vagueness that should be practiced with regards to answering the question so as to not make it too obvious how to do...
  15. R

    Propagation in dielectric Waveguides

    Homework Statement A planar waveguide is formed from a 10mircometer thick film of material of refractive index 1.46 sandwiched in material of refractive index 1.45. Calculate the number of modes of propagation that guide support at the wavelength 1.3mircometer, and estimate the propagation...
  16. M

    Dielectric constants what is the limit

    Hi there, Do we know which material has the highest dielectric constant (exact figures would be nice),and what is the highest break down voltage achievable for that particular material.
  17. G

    Dielectric surface in the field of an oscillating dipole

    We have the equations available for computing the reflected and transmitted electric fields in the case when a plane wave is incident on a dielectric surface. Now what I wish to do is compute similar reflected and transmitted components of the electric field due to an oscillating electric...
  18. P

    Anyone know the dielectric constant of OTS?

    Anyone know the dielectric constant of OTS?
  19. S

    Does the Electric Field Change when a Dielectric is Inserted into a Capacitor?

    Homework Statement This is not a problem from any book or any kind of source. I was just thinking on this. Suppose u have a capacitor attached to a battery. And then u insert the dielectric slab. Then do the electric field between the plates changes? Homework Equations The Attempt...
  20. S

    Infinite dielectric permittivity

    I read that in some ferroelectrics,such as Barium Titanate, dielectric permittivity approaches infinity near Curie point. For example,for Barium Titanate it`s closer to 120 centigrads. Do those effect allow as (in theory) create capacitor with almost unlimited energy density?Or there are...
  21. T

    Calculating Dielectric Breakdown Voltage & Effects of Electrode Material

    I have another question. Let us assume we have some dielectric oil and two electrodes (submerged into dielectric oil) connected to positive and negative of a voltage source. The system shall have some breakdown voltage , how can I calculate that? Any link available to get the formula...
  22. B

    Calculate dielectric function from n and k

    Dear All, I am trying to calculate the dielectric function of a thin silicon film from the real and imaginary values of the refractive index, which I have for wavelengths between 300 and 900 nm. If I have the n and k values (real and imaginary components of the refractive index), could anyone...
  23. E

    Help with Dielectric Constants

    Hi Everyone, I am trying to find the real and imaginary dielectric constants for TiO2 (rutile) as a function of wavelength. Could anyone suggest a good place to find something like this? Palik has a nice book but it is incomplete, so I'm not sure if there is something newer. Also, could...
  24. R

    Imaginary part of dielectric constant.

    in ac fields permittivity becomes complex quantity and has real and imaginary parts. in metals (may be few exceptions but i don't know) imaginary part is always positive and represents loss factor or energy absorbed. why the plot of imaginary part of dielectric constant as function of energy is...
  25. S

    Dielectric in parallel plate capacitor

    Homework Statement Two capacitors, identical except for the dielectric material between their plates, are connected in parallel. One has a material with a material with a dielectric constant of 2, while the other has a material with a dielectric constant of 3. What is the dielectric constant...
  26. J

    Dielectric Constant: Solving Homework Problems

    Homework Statement A slab of dielectric is now inserted between the plates, the battery still being connected. 7.5μC of additional charge flows from one plate, through the battery and onto the other plate. What is the dielectric constant of the dielectric material?Homework Equations A 1.0μF...
  27. Z

    Dielectric Constant of Poly(allylamine hydrochloride)

    I am currently in a research lab working with various polymers. I have been searching for a while, with no luck, to locate the dielectric constant of PAH poly(allylamine hydrochloride). Can anyone provide me with this constant? Thanks.
  28. R

    Calculating Transmittance Across Two Boundaries Using Dielectric Function

    How do you work out the transmittance across two boundaries (i.e. a wall)? Do you multiply the transmittance for one boundary by the transmittance across the other boundary?
  29. P

    Dielectric sphere in point charge electric field

    I'm interested if it's possible to compute potential inside and outside dielectric sphere (with permittivity \varepsilon_1 ) which is placed in field of point charge q lying outside the sphere where permittivity is \varepsilon_2 . I've tried to solve it using Legendre polynomilas but I...
  30. D

    Capacitors with dielectric question

    [PLAIN]http://img340.imageshack.us/img340/4058/15244008.jpg so C = epysilon A / d C= (8.85x10^-12 x 5.0x10^-3)/0.002 = 2.2125x10^-11 so the capacitance of the capacitors is ^ then with a dielectric where k = 3 can i use this equation C = epysilon A k/ d, just putting the k next to...
  31. L

    What is the difference between linear and non-linear dielectrics?

    can someone please tell me what a linear dielectric is, in words? thanks
  32. I

    How Does Electronic Susceptibility Affect EM Signal Propagation in a Dielectric Medium?

    In general the electronic susceptibility, χ, is a function of frequency and is complex for a dielectric medium. So what are the implications of this for the propagation of EM signals in a dielectric medium? Since the electronic susceptibility varies with refractive index, and the refractive...
  33. J

    Electric field inside dielectric cylinder

    A dielectric cylinder of radius 'a' and permittivity 'e' is placed in a uniform field Eo with the direction of field perpendicular to the axis of the cylinder, find the E field (Ei) inside the cylinder. I CAN DO THIS PART OF THE QUESTION FINE. It turns out that: Ein=2Eo/(1+e) Next...
  34. F

    Frequency Dependence of Dielectric Strength

    Does anyone know what the relation between frequency and dielectric strength is? I'm mainly concerned with the dielectric strength of air in the High Frequency and Very High Frequency Ranges (3MHz - 300MHz). Thanks.
  35. M

    Paralle plate capacitor, LIH dielectric, fringing field

    Hey, all. If we partially introduce a linear, isotropic and homogeneous dielectric slab in a charged, isolated, parallel plate capacitor, we know that it experiences a forces pulling it into the dielectric, and we can obtain the expression of this force using energy considerations. However...
  36. R

    Is Free Charge Density Possible in a Dielectric with Zero Potential Conductors?

    Homework Statement If I have two co axial conductors at V = 0 and the dielectric has a free charge density. Is that physically possible? Homework Equations No relevant equations The Attempt at a Solution I am not sure if you can have free charge density in a dielelctric when both conductors...
  37. G

    Calculating Capacitance for Non-Uniform Dielectric: Finding the Right Formula

    This isn't a homework problem, just something to explore my understanding so correct me if any of my assumptions are wrong. I have given myself the situation where I have a capacitor of area "A" and separation "d" Between them is a non-uniform but continuous dielectric, so that the...
  38. A

    Understanding the Complex Dielectric Constants of Metals

    What are the dielectric constants of metals and i have heard that some materials have dielectric constants that are complex numbers. Please tell me which materials have complex Dielectric constants?
  39. D

    Lindhard RPA Dielectric Function Electron Gas

    The longitudinal dielectric function of a gas of free electrons (+ homogeneous positive background) is often described in the Lindhard- or Random Phase Approximation (RPA). The dielectric function depends on both frequency omega and wavevector k. However, it is non-analytic at the point...
  40. E

    How Do You Solve for the Potential Outside a Dielectric Half-Space?

    A point charge q is a distance d from a dielectric half-space (z < 0). We will solve for the potential outside of the dielectric, in the region z > 0. (a) Away from the point charge, what equation does V satisfy? Find the boundary conditions at the dielectric surface. (b) Find an image...
  41. L

    Spherical Capacitor half filled with dielectric.

    If anyone can help with this problem it would be greatly appreciated. I think I know what I'm doing, but am not sure of a couple things. An isolated spherical capacitor has charge +Q on its inner conductor of radius r1 and charge -Q on its outer conductor of radius r2. half of the volume...
  42. A

    How Does a Dielectric Half-Space Affect the Potential of a Nearby Point Charge?

    Homework Statement A point charge q is a distance d from a dielectric half-space (z < 0). We will solve for the potential outside of the dielectric, in the region z > 0. (a) Away from the point charge, what equation does V satisfy? Find the bound- ary conditions at the dielectric...
  43. T

    Effect of Dielectric on Charge and Potential in a Parallel Plate Capacitor

    When a dielectric is inserted between the plates of a parallel plate capacitor , what would happen to its charge , Q and electric potential , V as compared to when there is no dielectric ? My thoughts are the presence of dielectric cause the resultant electric field to decrease , and from...
  44. M

    Understanding the Impact of Dielectric Insertion on Capacitance

    A derivation of the capacitance for a parallel plate capacitor is as follows: [ assume uniform field, plate area is infinite in relation to the separation, the conductors are perfect conductors ] So, V=Ed where V=voltage difference between plates E= electric field (uniform)...
  45. S

    Polarization of Coaxial Cable with Compound Dielectric

    Homework Statement A coaxial cable of circular cross section has a compound dielectric. The inner conductor has an outside radius a , which is surrounded by a dielectric sheath of dielectric constant K_1 and of outer radius b . Next comes another dielectric sheath of dielectric constant...
  46. R

    Dielectric Material in a Capacitor

    Can anyone explain the concepts behind dielectric material inside a capacitor. Why is the capacitor able to store more charge exactly? Thanks!
  47. P

    Adding a dielectric to capacitors

    Homework Statement Fig. 1 and 2 show a dielectric slab being inserted between the plates of one of two identical capacitors, capacitor 2. Select the correct answer to each of the statements below (enter I for `increases', D for `decreases', or S for `stays the same'). 1. In Fig. 2...
  48. B

    Solving Diagonal Dielectric Potential Difference

    Hi guys, If you have a parallel plate capacitor and then u insert two insulaters in such a way that it is diagonal( as shown in the attachment) how would we find the potential difference and field inside the capacitor? Attempt: I was thinking that the area would be the area of two...
  49. C

    Dielectric Constant Computation

    Homework Statement Say, i have a setup as shown on the photo below http://www.flickr.com/photos/47719498@N07/4375079183/ * setup also seen as attachment how can i be able to compute for the dielectric constant provided it is not parallel plate and considering two different area is...
  50. W

    Calculating the Effects of Removing Dielectric from Parallel Plate Capacitor

    A parallel plate capacitor of capacitance 10microfarads has the space between filled with material with (dielectric constant k)= 4.0. The capacitor is charged to a potential difference of 2.0V . With the capacitor connected to the battery the dielectric is removed. 1. The capacitance is F...
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