What is Parallel plate capacitor: Definition and 190 Discussions

A capacitor is a device that stores electrical energy in an electric field. It is a passive electronic component with two terminals.
The effect of a capacitor is known as capacitance. While some capacitance exists between any two electrical conductors in proximity in a circuit, a capacitor is a component designed to add capacitance to a circuit. The capacitor was originally known as a condenser or condensator. This name and its cognates are still widely used in many languages, but rarely in English, one notable exception being condenser microphones, also called capacitor microphones.
The physical form and construction of practical capacitors vary widely and many types of capacitor are in common use. Most capacitors contain at least two electrical conductors often in the form of metallic plates or surfaces separated by a dielectric medium. A conductor may be a foil, thin film, sintered bead of metal, or an electrolyte. The nonconducting dielectric acts to increase the capacitor's charge capacity. Materials commonly used as dielectrics include glass, ceramic, plastic film, paper, mica, air, and oxide layers. Capacitors are widely used as parts of electrical circuits in many common electrical devices. Unlike a resistor, an ideal capacitor does not dissipate energy, although real-life capacitors do dissipate a small amount (see Non-ideal behavior). When an electric potential (a voltage) is applied across the terminals of a capacitor, for example when a capacitor is connected across a battery, an electric field develops across the dielectric, causing a net positive charge to collect on one plate and net negative charge to collect on the other plate. No current actually flows through the dielectric. However, there is a flow of charge through the source circuit. If the condition is maintained sufficiently long, the current through the source circuit ceases. If a time-varying voltage is applied across the leads of the capacitor, the source experiences an ongoing current due to the charging and discharging cycles of the capacitor.
The earliest forms of capacitors were created in the 1740s, when European experimenters discovered that electric charge could be stored in water-filled glass jars that came to be known as Leyden jars. Today, capacitors are widely used in electronic circuits for blocking direct current while allowing alternating current to pass. In analog filter networks, they smooth the output of power supplies. In resonant circuits they tune radios to particular frequencies. In electric power transmission systems, they stabilize voltage and power flow. The property of energy storage in capacitors was exploited as dynamic memory in early digital computers, and still is in modern DRAM.

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  1. jegues

    Dieletric Boundary Conditions (Parallel Plate Capacitor)

    Homework Statement See figure attached for problem statement, as well the solution. Homework Equations The Attempt at a Solution I'm confused as to how he is writing these equations from the boundary conditions. What I understand as the boundary condition for D is, \hat{n}...
  2. J

    Integral form of Gauss' Law, Parallel Plate Capacitor

    Homework Statement If one were to consider a parallel plate capacitor with a distance d between them connected to a battery and a vacuum space between the plates. Will the integral form of Gauss' Law to any closed surface between the plates that does not cross either plate hold? If not, what...
  3. O

    Parallel plate capacitor question

    Homework Statement The negative plate of a charged, isolated parallel plate capacitor with a vacuum gap of width d and carrying a surface charge density s is uniformly irradiated with a short pulse of ultraviolet light whose photon energy is just enough to release a photoelectron at the...
  4. A

    Question regarding parallel plate capacitor

    Lets assume that there is a parallel plate capacitor connected across a supply of V volts. Then, there is charge redistribution between the plates such that finally the potential of positive plate wrt the negative plate is V volts. Let us assume air is the dielectric between the two plates. Now...
  5. B

    Solving Parallel Plate Capacitor Pendulum Oscillations

    1. Homework Statement PLEASE DO NOT DELETE THIS POST, MODS, IT MAY LOOK LIKE THE SAME QUESTION AS BEFORE, BUT IT IS NOT, IT IS A TOTALLY DIFFERENT PART TO THE QUESTION. consider a parallel=plate capacitor with square plates of side L and distance d (<<L) between them, charged with charges...
  6. C

    Find the E field of a parallel plate capacitor tilted at 45 degrees

    Homework Statement Find the E field of a parallel plate capacitor tilted at 45 degrees from vertical and moving at a speed v. each plate has plus or minus \sigma_0 for charge density. The Attempt at a Solution Well the E field in rest frame would be E= \frac{\sigma_0}{\epsilon_0}...
  7. hanley93

    About Electrostatic Forces on Parallel Plate Capacitor

    I've been thinking about this for a while, and I think people of PF will be able to answer it haha In parallel plate capacitor, we charge the capacitor by connecting a power supply/battery. Then, after few minutes, the capacitor is fully charged with different signs, + and -. With that...
  8. A

    Calculating Energe stored in a Parallel Plate Capacitor

    The left plate of a parallel plate capacitor carries a positive charge Q, and the right plate carries a negative charge -Q. The magnitude of the electric field between the plates is 100 kV/m. The plates each have an area of 2 × 10-3 m2, and the spacing between the plates is 6 × 10-3 m. There is...
  9. N

    Two circular discs spaced apart from a parallel plate capacitor ?

    Homework Statement Two circular disks spaced 0.50 mm apart from a parallel-plate capacitor. Transferring 1.90 x 10^9 electrons from one disk to the other causes the electric field strength to be 1.90 x 10^5 N/C. What are the diameters of the disks (in cm)? Homework Equations E = Q /...
  10. L

    How Does a Dielectric Constant Affect Capacitor Charge?

    Homework Statement A Parallel Plate Capacitor connected to a 12 V source is charged to 21 micro coulomb. If the capacitor is filled with an oil of dielectric constant 3, then the charge stored is --- Homework Equations The Attempt at a Solution C = q / V, substituting the values i...
  11. B

    What is the effect of unequal charges on a parallel plate capacitor?

    Homework Statement Ok so when you have a parallel place capacitor with a charge +Q on one plate and -Q on the other, you can use Q = CV etc., My question is: what happens when the two charges differ - i.e. one plate is Q1, the other is Q2. What is the capacitance, potential difference etc...
  12. L

    How Do You Calculate Electric Field and Potential in a Parallel Plate Capacitor?

    Homework Statement A parallel plate capacitor has a charge of 50pC area = 10mm^2 dielectric material permittivity = 2.5 distance between plates = 0.5 mm find the electric field the potential difference between the 2 plates the energy stored in the capacitor Homework Equations...
  13. P

    Ohm's Law - current within parallel plate capacitor imbedded in a large volume

    Homework Statement A parallel plate capacitor with plates of area A and separation d is imbedded in a large volume filled with a material with electric conductivity σ. Determine the total current I if the two capacitor plates are maintained at a potential difference Vo. Explain how such a...
  14. S

    Dielectric Filled Parallel Plate Capacitor Question

    Homework Statement A parallel plate capacitor has rectangular plates measuring 44.0 cm by 30.0 cm, and can be charged to 1600 V maximum ΔV without electrical breakdown. The gap between the plates is fulled with mylar dielectric (κ=3.2). Find the thickness of the dielectric.Homework Equations...
  15. O

    Dielectric and Parallel Plate Capacitor

    Homework Statement A 4.0-nF parallel plate capacitor with a sheet of Mylar (κ = 3.1) filling the space between the plates is charged to a potential difference of 120 V and is then disconnected. (The initial capacitance including the dielectric is 4.0 nF.) (i) How much work is required to...
  16. T

    Charging a parallel plate capacitor.

    I'm building a parallel-plate capacitor for a capacitance sensing circuit. If I let the capacitor fully charge, and then pulled the plates apart by 5 cm, how would that change the capacitance? Is there a formula to figure that out?
  17. M

    Parallel Plate Capacitor Question (Many Attempts)

    I have tried this set of questions which is from i-vii, I believe I am going wrong at a certain stage, as at question vi, the voltage is clearly wrong, below is the questions and my attempt. Sorry for the long post, any help on pointing out where I have gone wrong would be much appreciated...
  18. M

    Parallel Plate Capacitor

    A parallel plate capacitor is defined of two circular plates with a radius of 12cm, it is separated by a dielectric sheet with a thickness of 2 microns (um) and relative permittivity of 6. It is charged with a potential difference of 110V. The area of one plate I found is A=pie*R^2 =...
  19. K

    Calculating Potential Difference in a Suspended Parallel Plate Capacitor

    Homework Statement A small object with a mass of 420 mg carries a charge of 30.0 nC and is suspended by a thread between the vertical plates of a parallel-plate capacitor. The plates are separated by 2.00 cm. If the thread makes an angle of 18.0° with the vertical, what is the potential...
  20. C

    Parallel Plate Capacitor - Dielectric Oscillator

    In my high school calculus-based electricity class two students and I are trying to create a demo where we set up a parallel plate capacitor and have some dielectric material inside it that we can pull out slightly, and have it oscillate into and out of the capacitor. Some ideas we have...
  21. K

    Double Layer Parallel Plate Capacitor

    Homework Statement d=10cm; U=180kV; er1=5; Ep1=50 kV/cm; Ep2=30 kV/cm; Ep=breakdown strength. So you have a Parallel Plate Capacitor with two layers between the plates. One is air and it has the Ep2=30kV/cm, the other one has a Ep1=50 kV/cm and a relative permittivity of 5. The capacitor is...
  22. K

    Application of Gauss' Laws: Large area parallel plate capacitor

    Homework Statement The plates of a large area parallel plate capacitor of area A are separated by a short distance. The plates carry an equal but opposite charge \pm q. (a) What is the electric field strength E(q,A) inside the capacitor? (b) By how many percent does the electric field...
  23. 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...
  24. A

    What is the Energy Stored in a Parallel Plate Capacitor?

    Given: There are two parallel plates. The left plate of a parallel plate capacitor carries a positive charge Q, and the right plate carries a negative charge -Q. The magnitude of the electric field between the plates is 100 kV/m. The plates each have an area of 2 × 10-3 m2, and the spacing...
  25. D

    Parallel plate capacitor book problem

    Homework Statement Two parallel plates 0.700 cm apart are equally and oppositely charged. An electron is released from rest at the surface of the negative plate and simultaneously a proton is released from rest at the surface of the positive plate. How far from the negative plate is the...
  26. B

    2 Dielectrics in a Parallel Plate Capacitor

    So, I know what happens with the first two cases, but what if the dielectrics are on a diagonal?
  27. 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...
  28. M

    How Does a Multi-Dielectric Parallel Plate Capacitor Calculate Its Capacitance?

    We have got a parallel plate capacitor . The distance between the plates is 2*h and each plate's dimensions are a,b . Between the plates there exists dielectric e1 in the volume 0<z<h and e2 in the volume h<z<2*h (out of the plates e0 ) , with e1,e2>>e0 . At z=h we place another plate with...
  29. T

    How Do You Calculate the Diameter of Plates in a Parallel Plate Capacitor?

    Homework Statement A parallel plate capacitor is made of two circular disks. The distance between the disks is very small compared to their diameter. Initially, the disks are electrically neutral. After transferring 3.9x10^9 electrons from one disk to the other, the electric field...
  30. 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...
  31. jacksonpeeble

    Parallel Plate Capacitor Spacing Question

    If the length and width of each plate of a parallel plate capacitor were doubled, and the spacing between the plates was also doubled, by what factor does the capacitance change? I know that increasing the length and width of a plate increases its capacitance, and I thought that it was...
  32. B

    Capacitance of a parallel plate capacitor with 2 dielectrics

    Homework Statement Find the capacitance of the parallel plate capacitor with 2 dielectrics below. Given that the parallel plate capacitor has area A = WL and the separation between plates is d. The Attempt at a Solution My method is to use integration. First solve for two small...
  33. G

    Parallel Plate Capacitor: Electric field strength, flux & magnetic field

    Homework Statement This is a question on a past paper of a second-year undergraduate physics paper. A parallel plate capacitor is charged and the voltage increases at a rate of dV/dt. The plate radius is R and the distance between the plates is d. (a) What is the electric field...
  34. M

    Simple Parallel Plate Capacitor Question

    Assuming a Parallel Plate Capacitor of area A, separation distance d, plate charges \pm Q: and plate charge densities \pm\sigma: In my textbook and in Wikipedia, Electric Field of a charged plane with large or infinite area: \frac{\sigma}{\epsilon} Electric Field between plates of...
  35. A

    Parallel plate capacitor with dielectric in a gravitational field.

    Homework Statement A square parallel plate capacitor with vertical plates of area A and distance d, charged with a constant charge Q and is completely filled with a dielectric material the same dimension as the gap between the plates, with dielectric constant k and mass m. Assuming the...
  36. M

    Trying to make a parallel plate capacitor

    Hi evry1 I am trying to make a parallel plate capacitor , which am using to make a capacitive proximity sensor. Question 1 I thought of making 2 plexiglass plates of dimension ( 90 X 50 X2.5 mm). An aluminium mesh is sandwiched between them. Now a positive voltage is supplied to...
  37. M

    Parallel plate capacitor electric field problem

    Homework Statement Two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. Transferring 1.8*10^9 electrons from one disk to the other causes the electric field strength to be 1.3* 10^5 N/C. What are the diameters of the disks? Homework Equations F=k(q1)(q2)/r^2...
  38. L

    Circular Parallel Plate Capacitor

    I haven't figured it out yet, I find it way above my understanding of phyiscs Suppose we have two circular parallel plates or radii r, both the same radius. They have a Voltage difference of V and they are separated a distance d. What would be the Electric Field in the whole space? Actually...
  39. S

    What is the Work Required to Increase Separation of a Parallel Plate Capacitor?

    Homework Statement An isolated parallel-plate capacitor (not connected to a battery) has a charge of Q=1.4x10^-5 C. The separation between the plates initially is d=1.2 mm, and for this separation the capacitance is 3.1x10^-11 F. Calculate the work that must be don to pull the plates apart...
  40. A

    Electrostatics - parallel plate capacitor

    Two parallel uniform charged circular conducting metal disks contains a charge of +Q and -Q on the inner surfaces, and little amounts of charge +q and -q on the outer surfaces. The detail is shown in the diagram. Each plate has a radius R and thickness t. The separation of the plates is d...
  41. A

    Parallel plate capacitor problem

    A parallel plate capacitor is formed using a material whose dielectric constant is 3,00 and whose dielectric strength is 2x10^{8} V/m. The capacitance is 0,25x10^{-6}F and the capacitor must withstand a potential difference maximum of 4000V. Find the minimum area of the plates of the capacitor...
  42. M

    What is the dielectric constant of the slab on a parallel plate capacitor ?

    Homework Statement When a certain air-filled parallel-plate ca- pacitor is connected across a battery, it ac- quires a charge (on each plate) of magnitude 214 μC. While the battery connection is maintained, a dielectric slab is inserted into the space between the capacitor plates and...
  43. T

    Parallel plate capacitor and insulating material

    Homework Statement A parallel-plate capacitor has plates of 10 cm^2 area separated by a 0.10mm layer of glass insulation with resistivity rho = 1.2x10^13 omega*m and dielectric constant k= 5.6. Because of the finite resistivity, current can leak through the insulation. How do I Show...
  44. J

    Electric field across a parallel plate capacitor

    Hello, If I had a potential source (V) , a resistor R, and a parallel plate capacitor, would the Electric field across the capacitor become E = (V - IR)/L L = distance between capacitor or would the electric field simply become E = V/L ?? thank you!
  45. T

    Electron Deflection in Parallel Plate Capacitor

    Homework Statement A Problem of Practical interest is to make a beam of electrons turn a 90 degree corner. This can be done wit ha parallel plate capacitor shown. An electric with kinetic energy of 3.0x10^-17J moves up through a small holes in the bottom plate of capacitor. What is field...
  46. P

    How Does Changing Plate Radius Affect Capacitance in a Parallel Plate Capacitor?

    Consider a parallel plate capacitor constructed from two circular metal plates of radius R. The plates are separated by a distance of 1.6mm a. What radius must the plates have if the capacitence is 2.8 micro F? b. if the separation between the plates is decreased, should the radius of the...
  47. S

    Parallel Plate Capacitor Connected to Battery: Answers

    Homework Statement A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V Volts. (C is the capacitance and U is the stored energy.) Give all correct answers concerning a parallel-plate capacitor charged by a...
  48. X

    J"Calculating Work for Charging a Parallel Plate Capacitor

    Homework Statement A parallel plate capacitor is changed to an electric potential of 334V by moving 3.78e16 electrons from one plate to the other. How much work is charging the capacitor? Homework Equations Delta V= Delta PE/ q c=q/v The Attempt at a Solution Delta V= Delta PE/ q...
  49. N

    How to Calculate Electric Energy in a Spherical Capacitor with Dielectric?

    Homework Statement I am doing a problem in my physics textbook where there is two concentric hollow spheres and the space between them is filled with a dielectric substance. The question asks for the electric energy in this space. Homework Equations The only given equation for the C of...
  50. L

    How Does Membrane Thickness Affect the Electric Field in a Nerve Cell?

    The cell membrane in a nerve cell has a thickness of 0.12 micrometers. (a) Approximating the cell membrane as a parallel plate capacitor with a surface charge density of 5.9 x 10^(-6) C/m2, find the electric field within the membrane. (b) If the thickness of the membrane were doubled, would...
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