Parallel plate Definition and 275 Threads

A parallel-plate fluid flow chamber is a benchtop (in vitro) model that simulates fluid shear stresses on various cell types exposed to dynamic fluid flow in their natural, physiological environment. The metabolic response of cells in vitro is associated with the wall shear stress.
A typical parallel-plate flow chamber consists of a polycarbonate distributor, a silicon gasket, and a glass coverslip. The distributor, forming one side of the parallel-plate flow chamber, includes inlet port, outlet port, and a vacuum slot. The thickness of the gasket determines the height of the flow path. The glass coverslip forms another side of the parallel-plate flow chamber and can be coated with extracellular matrix (ECM) proteins, vascular cells, or biomaterials of interest. A vacuum forms a seal to hold these three parts and ensures a uniform channel height.Typically, the fluid enters one side of the chamber and leaves from an opposite side. The upper plate is usually transparent while the bottom is a prepared surface on which the cells have been cultured for a predetermined period. Cell behavior is viewed with either transmitted or reflective light microscope.

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  1. Pushoam

    Charge upon a parallel plate capacitor

    a) if I take a Gaussian cylindrical surface whose circular area are present in the meat of the two plates of the capacitor, then the electric flux through this Gaussian surface is zero ( as the electric field inside the meatof the capacitor is zero and between the capacitors, electric field is...
  2. Pushoam

    Capacitance of a parallel plate capacitor with a metal plate kept inside

    Because of the plate P, the capacitor becomes a piece of conductor. It contains zero net charge and has 0 potential difference. Hence, the capacitance is ## \frac 0 0 # # that is undefined. The capacitance of a capacitor is defined as its capacity to store charge when a potential difference is...
  3. warhammer

    Problem on Parallel Plate Waveguide

    The Imgur Link of the Problem with the figure - Problem Link. I did not paste it here as the post upload quality seemed heavily pixelated for some reason. For this problem, what I did was to divide the waveguide into 2 sections of distinct permabilities to calculate the cutoff frequency. Since...
  4. guyvsdcsniper

    Method of images between parallel plate capacitor

    Before I can find the force on q I must balance the charges. This problem starts of with -q and q inside the capacitor. I have added image charges on the opposite side of each plate. Would this work?
  5. H

    A slab of glass dielectric is inserted into a parallel plate capacitor

    I use the following equations to understand this question/answer. First, C = k(ε*Area)/distance = Q/V = Q/ (E*distance) As a slab of glass is added, k increases and thus E decreases. F=QE, as E decreases, force decreases as well. How does this relate to the 'force attracts the glass into the...
  6. PhysicsTest

    Problem related to a parallel plate capacitor

    The diagram would look like this. a. The total energy is conserved, ##KE_A + PE_A = KE_B + PE_B ## ##KE_A=0; PE_A =1000## ## 1000 = \frac{m v^2} {2} ## ##2000 = {9.1}*10^{-31}*v^2## ##v^2 = \frac{2000 * 10^{31}} {9.1}; v = 46.8 * 10^{15} ## ##v = at; = \frac {qVt} {md} ; t = \frac{vmd} {qV}...
  7. P

    Dielectrics inside a parallel plate capacitor

    Could somebody check my solution?
  8. P

    Parallel Plate Capacitor with Dielectric Connected to a Battery

    Not sure how to set this question up or how to get to the second half
  9. P

    A Parallel plate capacitor in the Rindler metric

    Does anyone have a reference or solution for a parallel plate capacitor in the Rindler metric? I'm particularly interested in the case where the capacitor plates are in the xz or yz planes, z being the direction of the acceleration. The motivation is to get an idea how a transmission line...
  10. archaic

    Inserting a dielectric between the plates of a parallel plate capacitor

    a)$$C=\frac{\kappa\epsilon_0\ell x}{d}+\frac{\epsilon_0\ell(\ell-x)}{d}=\frac{\epsilon _0ℓ\left(\kappa x+ℓ-x\right)}{d}$$ b)$$U=\frac{1}{2C}Q^2=\frac{dQ^2}{2\epsilon _0ℓ\left(\kappa x+l-x\right)}$$ c)$$F=-\frac{dU}{dx}=\frac{dQ^2\left(\kappa -1\right)}{2\epsilon _0ℓ\left(\kappa...
  11. aspodkfpo

    I Parallel Plate Fields: Questions & Answers

    Homework Statement:: n/a Relevant Equations:: n/a Sorry for the wonky mouse sketching. Teacher said that arrows must touch the plate at the other end. Is there actually such a thing or is this just preference? I thought convention was for arrow to be in the middle of the line.
  12. G

    Tilting the plates of a parallel plate capacitor (and other changes)

    (a) (b) have intuitive solution but the asymmetry in (c) is confusing.
  13. K

    Griffiths 8.5: Impulse and Momentum parallel plate capacitor

    Summary:: Griffiths problem 8.5 Problem 8.5 of Griffiths (in attachment) I already solved part (a), and found the momentum in the fields to be $$\textbf{p}=Ad\mu_0 \sigma^2 v \hat{\textbf{y}}$$ In part (b), I am asked to find the total impulse imparted on the plates if the top plate starts...
  14. A

    Parallel Plate Capacitor Filled with Many dielectrics

    This is the problem I'm working on. So far I know: 1. I am assuming the free charge density is +sigma for the top plate and -sigma for the bottom plate. 2. The electric field from the plates goes from top to bottom plate, in the negative z direction. 3. The electric field of the capacitors...
  15. patrykh18

    Stress tensor for a parallel plate capacitor

    The question is partially taken from Griffith's book. I am confused about the physical meaning of momentum in fields. I have determined the solution and found that in part d the momentum crossing the x-y plane is some value in the positive z direction. I don't however understand the physical...
  16. HelloCthulhu

    Parallel Plate Capacitance and Charge Time

    $$C=K\varepsilon_0\frac{A}{d}=C=\frac{(8.85\times10^{-12})\times1\times 0.0254469}{0.01}=0.000022531F=22.531μF$$ 6V*(1-2.71828-t/0.019Ω*0.0000225307uF) time constants 6*(1-2.71828-1) = 6*(0.632) = 3.79 sec 6*(1-2.71828-2) = 6*(0.865) = 5.18 sec 6*(1-2.71828-3) = 6*(0.950) = 5.70 sec 6*(0.982)...
  17. D

    Parallel Plate Capacitor Design

    Hello, A question came up in my head that I couldn't think of a way to math out. Say I want to design a parallel plate capacitor. The equation for capacitance is quite simple: Everything in this equation makes sense, besides for the distance. This is saying that an infinitely small length...
  18. J

    Engineering Calculating the gap of a parallel plate capacitor

    I've been given this question for my TMA2, I've tried looking at the learning material but it gives no information on how to calculate the gap? Does anyone have a formula for this? Or can someone point me in the right direction? Thanks
  19. J

    Question Regarding Parallel Plate Capacitor Network

    Hello, I have a question regarding the capacitor/resistor network as shown. My question is simple. I realize that the instant the switch is closed, then the top plate of the capacitor must be at a potential (VA) of 5v. However, I also realize that the instant the switch is closed, literally...
  20. B

    Parallel Plate Pulsed Proton Beam Generator (Thought Experiment)

    I am trying to come up with a design for a device with which to generate a rapidly pulsed proton beam (on the order of 1 pulse per ms). My thought was to apply a 10 kV potential between two parallel plates (each with a hole in their center) and inject a steady stream of hydrogen gas through the...
  21. B

    I Parallel plate particle acceleraton questions

    Suppose there exists a pair of parallel plates with a voltage between them. These plates have a certain amount of energy stored in the electric field between them (E=1/2*C*V^2). Now we fire a fast (~5,000,000 m/s) beam of protons through the plates (parallel to the electric field) such that the...
  22. PainterGuy

    Electric field outside a parallel plate capacitor

    Hi! Could you please help me with the queries below? Thanks a lot. Question 1: My question is about the field outside the plates of parallel plate capacitor. It is said that the field(s) between positively and negatively charged plates gets added up but the field(s) outside the plates gets...
  23. cookiemnstr510510

    Potential of parallel plate capacitor

    Homework Statement I have attached a problem from within the chapter of my book. I have a question regarding my highlighted part. My question: Is the reason they are saying E= -Q/(ε0A) because they defined the positive "s" axis to the right? and since E is pointing from right to left we say...
  24. radiant_june

    Parallel plate electric fields -- # of electrons transferred

    Homework Statement An oil droplet is suspended between two horizontal parallel plates with a separation of 0.4 cm. If the potential difference of 320V is applied to the plates, determine the number of electrons transferred to/from the droplet. Given/Known Values mdroplet = 5.2×10-6 kg d = 0.4...
  25. L

    Ions passing through a parallel plate capacitor with a varying voltage

    Consider the scenario Two parallel plates One ion particle (mass 1, charge +1) traveling parallel to the plates through the middle. Voltage of the plates is the same. As the ion travels between the plates the voltage on the plates ramps up, and the electric field between the plates remains...
  26. P

    Disconnected vs Connected parallel plate capacitor

    I am having a hard time understanding the whole idea behind and the difference between disconnected vs connected parallel plate capacitor in terms of voltage and charge. How does this relate to the formula C(Q/V)=ke0A/d?
  27. L

    Three parallel plates -- find the electric field

    Homework Statement Find the field at A. Homework Equations ##\oint E\cdot dA = Q_{enclosed}/\epsilon_0## The Attempt at a Solution My first intuition was to do a Gaussian cylinder from A to the middle of the bottom plate. My logic is that the field inside the bottom plate is 0, so I'd have...
  28. V

    Dielectric inserted into a parallel plate capacitor

    Homework Statement The capacitor (of thickness d) is disconnected from a potential source of V and a dielectric of thickness t is inserted and it has relative permitivity Er. Find the new potential between the plates Homework Equations [/B] This is the answer : Vf = V/d(d - t + t/Er) The...
  29. M

    Determining speed of electron in a parallel plate capacitor

    Homework Statement A proton is released from rest at the positive plate of a parallel plate capacitor. It crosses the capacitor and reaches the negative plate with a speed of 50,000 m/s. What will be the final speed of an electron released from rest at the negative plate? Homework Equations...
  30. I

    Total energy of charge in parallel plate capacitor

    Homework Statement Find the total amount of energy of a charge (q) initially at rest placed at the left plate of a parallel plate capacitor. The left plate is at V = 0, the right plate at V = V0 and the plates are a distance L apart. Homework Equations Etot = 1/2 mv2 + qφ(x). φ(x) = Vx/L The...
  31. C

    Charge Distribution in a Parallel Plate Capacitor with Connected Plates

    Homework Statement Each plate in the figure has area a and separation d , end of battery is e find charge supplied by battery Homework EquationsThe Attempt at a Solution . each facing plate will have half the charge supplied by battery, but I am...
  32. lonelypancreas

    Are ALL parallel plate capacitors linear?

    Homework Statement Are ALL parallel plate capacitors linear? Homework Equations D = permittivity * E The Attempt at a Solution Capacitance is linear if permittivity is constant. Is there a case where a parallel plate capacitor is not linear?
  33. mertcan

    Inclined parallel plate capacitor

    hi, I wonder that inclined plate capacitor formula is the formula in last picture I shared? I am not sure because there are not enough examples about that ?
  34. J

    Dielectric inserted in parallel plate capacitor

    Homework Statement Homework EquationsThe Attempt at a Solution The force between the plates is given by (1/2)QE ,where Q is the charge on the plates and E is the electric field between the plates . Now Q = CV and E = V/d , where C is the capacitance , V is the potential difference and d is...
  35. Pushoam

    EMF across a loop with one end in a parallel plate capacitor

    Homework Statement Homework EquationsThe Attempt at a Solution Assuming the current is steady, I = JA, where J is the current density and A is the cross- sectional area ##E = J/\sigma## Can I take ##\sigma ## uniform here ?
  36. Pushoam

    Energy of parallel plate capacitor

    Energy of a parallel plate capacitor with charge Q and potential difference V can be calculated in two ways: 1)Work done in bringing charge dq from infinty to the capacitor when there is potential V= q/C on the positive plate and V= 0 on the negative plate is dW = (q/C)dq integrrating from 0 to...
  37. A

    Capacitance capacitor parallel plate with dielectric (Gauss)

    Homework Statement I have an elementary doubt with the calculation of the capacitance of a capacitor of parallel plates that has a dielectric in the middle. https://ibb.co/b0W4BQ Homework Equations ∫D⋅ds=Q D=E+γP C=Q/V The Attempt at a Solution Suppose the top plate has a positive charge...
  38. Devarsh Patel

    Capacitance of parallel plate capacitor separated by

    How to find capacitance of parallel plate capacitor separated by conducting material with two different dielectric between Two parallel plate of Cu(5*6*0.1)mm and distance between them is (d=2mm) a thin Cu-plate of thickness 0.1 mm separates Mica layer & Quartz layer. how to find capacitance?
  39. Kmol6

    Parallel plate capacitor: Proton vs Electron

    Homework Statement A proton is released from rest at the positive plate of a parallel-plate capacitor. It crosses the capacitor and reaches the negative plate with a speed of 51000 m/s . What will be the final speed of an electron released from rest at the negative plate? Homework Equations...
  40. T

    Electric field due to charged plates moving through a plasma

    Hi folks, this is not an actual HW question, but rather one of personal interest. I'm basically trying to understand your classic idealized parallel plate capacitor, but moving face-on through a plasma. 1. Homework Statement We have a diffuse neutral plasma made of free protons and electrons...
  41. N

    Parallel plate capacitor voltage question

    Homework Statement A parallel-plate capacitor is connected to a 100 V battery until it is fully charged. The distance between the plates is d and the space between the plates is filled with air (k=1.0). Then, the battery is disconnected. If the distance between the plates is increased to 3d...
  42. Robertphysics

    Parallel plate capacitor question

    HiI’ve been reading for a while and decided to ask , suppose we have a parallel plate capacitor with a distance x between the plates , in between the plates are another two plates with a dielectric so in total 4 plates. The outer two are attached to a dc supply of 12volts for example. Now I...
  43. S

    Time-Varying Electric Field in Parallel Plate Capacitor

    Hi, A time-varying (sinusoidal) voltage source is applied to a parallel plate capacitor of length d. Then the E field will vary according to E(t) = V(t)/d. However, this suggests that, for any given time, the E field is constant with respect to spatial coordinates. Therefore, the curl of E is...
  44. Molar

    Charge of isolated parallel plate capacitors

    The other day we were working on a problem which stated : Q charge is given to the positive plate of an isolated parallel plate capacitor of 10 μF. Calculate the potential difference betweeen the plates. Our teacher said that as the plate is isolated, Q charge will be divided between the two...
  45. J

    How to calculate the Electric Field due to Capacitors?

    I have a problem that I have encountered during research. The setup for this scenario is that I am placing two contacts on top of a piece of diamond. What I need to be able to do is calculate the Electric Field at a point within the diamond when I apply a voltage to the contact. The point of...
  46. A

    Finding the Electric Field of a Parallel Plate Capacitor

    Homework Statement An electron is launched at a 45∘ angle and a speed of Vo = 5.0×10^6 m/s from the positive plate of the parallel-plate capacitor towards the negative plate. The electron lands 4.0 cm away. Homework Equations F = ma = qE v = d/t s = vt -(1/2)at^2 x = 0.04 m The Attempt...
  47. EmilyBergendahl

    Electric Potential Difference during thunder storm

    Homework Statement During a thunder storm, movement of water molecules within clouds creates friction which causes the bottom of the clouds to become negatively charged. This means that the bottom of the cloud and the ground begin to act like parallel plates. Once the electric field between the...
  48. J

    Question about parallel plate stuff

    Homework Statement A cell membrane consists of an inner and outer wall separated by a distance of approximately 10 nm. Assume that the walls act like a parallel plate capacitor, each with a charge density of 10^−5C/m^2, and the outer wall is positively charged. Although unrealistic, assume that...
  49. L

    Magnetic Field in parallel plate capacitor

    Homework Statement A parallel plate capacitor of area 60cm^2 and separation 3mm is charged initially at 90 micro coulomb. If the medium between the plates get slightly conducting and the plate loses charge initially at the rate of 2.5 *10^-8 C per sec then what is the magnetic field between the...
  50. R

    Force of parallel plate capacitor

    Homework Statement A parallel-plate capacitor has a plate area of .3m^2 and a plate separation of .1mm. If the charge on ech plate has a magnitude of 5*10^-6C then the force exerted by one plate on the other has what magnitude Homework Equations Q=E Ԑ A F=qE The Attempt at a Solution so to...
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