What is Parallel plates: Definition and 157 Discussions
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.
Electric field between the plates
V=4x10^3
d=0.02
E=4x10^3/0.02
E=2x10^5 V/m
Calculate the force on charge -e
-e = -1.602x10^-6
Me = 9.11x10^-31
F=qE
F=(1.602x10^-6)(2x10^5)
F=0.3204 N
Using F=ma
a=F/Me
a=0.3204/9.11x10^-31
a=3.517x10^29 m/s
Time = distance / speed
T=.01 (half distance of...
[New poster has been reminded to show their best efforts to work the schoolwork problem when starting a homework thread]
My question is : An electron beam with velocity vector v = (0; 0.6x10^8 ;0) m.s enters between two oppositely charged plates parallel to the xz plane.
- How large is the...
In my book, the potential gradient for a charge placed anywhere in space is defined as: E = -V/r
HOWEVER, for parallel plate (capacitors) the potential gradient is defined as E = V/d (V being the potential difference). How come there's no negative sign for the potential gradient of the parallel...
The problem states:
Two parallel plates separated by distance h, the plate at the top moves with velocity V, while the one at the bottom remains stationary.
My initial approach was:
I considered, ##du/dy = V/h## and for the shear stress ##\tau = \mu \frac{\partial u}{\partial y}##
For...
a) E = s / E0 so s is 4.87E-9
b) The electron will be projected at up angle since its charge is negative ( not sure if there's another reason behind it)
c)
Initial speed:
V0 = 5 * 10^6 * cos(theta) + 5 * 10^6 * sin(theta)The force suffered by the electron is:
Fy = q*Ey
Fy = -1.602*10^19 *...
Hi,
the approximate (not accounting for plate size and separation distance) formula for heat flux exchanged via radiation between two parallel plates is:
$$q=\frac{\sigma (T_{1}^{4}-T_{2}^{4})}{\frac{1}{\varepsilon_{1}}+\frac{1}{\varepsilon_{2}}-1}$$ where: ##\sigma## - Stefan-Boltzmann...
Consider two rigid and infinitely long parallel plates (say they are of infinite length in X direction, so running from -inf to +inf in X axis) separated by a distance d (say measured in Y-direction). Let the space between the plates be filled up with a fluid that supports acoustic waves. If we...
Summary:: if Plate A had a potential of 9V, This means as We approach a unit charge from +Infinity to A we have to do this precise amount of work
Now we remove plate A, And replace it with plate B that has a potential of -9V Again that means to go from +Infinity To B we actually gain energy, or...
Homework Statement
Imagine two parallel plates at distance ##L##. One of them at constant temperature ##T_H## and the other one at ##T_C##. Media between the plates is air.
Find ##T## as function of distance from the plate with ##T_H## in steady state.
Homework Equations
Navier - Stokes
Heat...
Two infinite conducting plates 1 and 2 are separated by a distance l. A point charge q is located between the plates at a distance x from plate 1. Find the charges induced on each plate.
Many of the places this problem has been solved by considering an infinitely large plate in place of the...
So we know that the E-field between two parallel plates is constant and that the potential difference between the plates is just the E-field times the distance between the plates. Let's say we're moving a positive charge from a negatively charged plate to a positively charge plate ( or near)...
Homework Statement
Two infinitely large conducting plates with excess charge 2Q and 3Q are placed parallel to one another, and at a small distance from one another. How are the charges 2Q and 3Q distributed? You may assume that infinitely large sheets of charge produce electric fields that are...
Homework Statement
Distance between plates of a parallel-plate vacuum capacitor is d. The capacitor is attached to a battery that keeps it at a voltage V. The space between plates is now filled dielectric relative permittivity epsilon. How will charge density of the plates change?
Homework...
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...
Hi PF,
I have a setup with two plates that are connected to two different voltages and separated by vacuum. In my case, one plate is set at -10kV, and the other plate is set at -7.5kV. I know the area of these plates, the separation of the plates (which is much smaller than the plate area), and...
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...
Homework Statement
Hi everyone! This is the homework problem I'm struggling with!
Initial velocity = 107 meters per second
The particle is an electron, so:
Charge = -1.6 x 10-19 coulombs
Mass = 9.11 x 10-31 kilograms
Homework Equations
Kinematic formula x = vot + 1/2 at2
Newton's law...
Homework Statement
A parallel plate capacitor of length l and width w and separation d, has a dielectric of dielectric constant k inserted to a distance x, if the capacitor has a charge q, find force acting on the dielectric when its near the edge
Homework EquationsThe Attempt at a Solution ...
Homework Statement
Given 2 positively charged parallel plates with equal surface charge densities, calculate the electric field at a point outside the the parallel plates.
Homework Equations
E= (surface charge density) / 2(relative permittivity) for a single sheet.
The Attempt at a Solution...
I have learned that the electric field between parallel plates are independent of distance
since E=V/d
so if I increase the distance between parallel plates, the E will decrease, right?
if I am right on the previous statement, then why does the electric field are independent of distance?
Homework Statement
Can't really find out b, probably due to a mistake in a. Was wondering what I did wrong.
Homework Equations
Kinematic equations of motion, w/ constant a
##F=qE##
The Attempt at a Solution
[/B]
(a)
##E=\frac {\Delta V} {\Delta d}= \frac {V_R-V_L} {L} = \frac {V_0}{L} ##...
Homework Statement
Two parallel plates 1.40 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 point at...
1. Homework Statement
A fixed parallel plate capacitor is charged. A point charge is starting to move with an initial speed 1.0 m/s at shown initial position. The capacitance is 5.0 F. The mass of the point charge is 0.80 kg. Assume that the plate length is infinite. No gravity. The initial...
Homework Statement
Four uncharged metal plates of the same area are placed in vacuum and separated by equal distances. They are connected by conducting wires to two resistors, two open switches and a battery. The thickness of the plates is negligible, and their area is sufficiently large. S1 is...
Hi,
My setup for measuring parallel plate capacitance consists of an LCR meter and a parallel plate test fixture. The area of the parallel plates is much larger than the area of the samples I am measuring. From what I've seen in literature, and my physics classes, the sample area should be...
For a system of 'n' parallel plates(metal plates) bearing charges q1, q2,... qn ; why it is so that the facing surfaces of the plates bear equal and opposite charges ?
How do we prove that ?
Homework Statement
A charged particle (either an electron or a proton) is moving rightward between two parallel charged plates separated by distance d=2.87mm. The plate potentials are V1=-75.8V and V2=-49V. The particle is slowing from an initial speed of 90.0 km/s at the left plate. What is...
Homework Statement
A small plastic ball of mass 7.51 × 10-3 kg and charge +0.123http://edugen.wileyplus.com/edugen/courses/crs6407/art/qb/qu/c18/lower_mu.gifC is suspended from an insulating thread and hangs between the plates of a capacitor (see the drawing). The ball is in equilibrium, with...
Homework Statement
Two large parallel plates are 0.8 m apart and generate an electric field of 12 N/C between them.
At 0, 1/4, 1/2, 3/4, and full distance (0.8m), how much kinetic energy does a +0.25 C charge gain as it passes through each location?
Homework Equations
V = PE/q
The Attempt...
Homework Statement
Capacitor parallel plates separation $$d$$, potencial diference $$V_0$$, at the center there is a semi sphere of radius $r_0$.
Find the potencial as function of position if $$d>>r_0$$
Homework Equations
I think that relevant equation are Gauss Law
The Attempt at a...
Homework Statement
The parallel Plates of a capacitor have an area of 2.00 x 10-1m2 a separation distance of 1.00 X 10-2 m and are connected to a 3000 V power supply.
The capacitor is then connected from the supply, and a dielectric is inserted between the plates. We find that the potential...
Homework Statement
The space between 2 perfect conductor plates parallel to the x-z plane separated by a distance 2a are filled with 2 dielectric materials whose surface also lies in the x-z plane, at a distance equal to a from the plates. We're looking for TM modes propagating along the z...
If you place an electron between oppositely charged parallel plates, is it true the the force on it is the same regardless of how far it is from each plate? If so how?
Quick question about electromagnetic waves traveling through what's basically a capacitor. In the picture I have labelled areas that I'm curious about.
1. Is there a potential induced at A?
2. If yes, is it localized? I suspect the potential would be different at A and B.
3. Is it correct to...
Homework Statement
Two large, flat metal plates are separated by a distance that is very small compared to their height and width. The conductors are given equal but opposite uniform surface charge densities +- \sigma. Ignore edge effects and use Gauss's law to show
a) that for points far...
Homework Statement
A droplet of oil, carrying an extra charge of one electron, is held motionless between parallel plates separated by 1.89 cm, with a potential difference of 39.8 kV. What is the mass of the droplet?
2. Homework Equations
E=0.5QV
C=Q/V
The Attempt at a Solution
Really...
Homework Statement
At what angle will the electrons in the image leave the uniform electric field at the end of the parallel plates (point P) ? Assume the plates are .049 m long, E = 5x10^3 N/C and v0 = 1x10^7 m/s. Ignore fringing of the field.
Homework Equations
E = kQ/r^2
F=ma
F= kQ1Q2/r^2...
Hi
I was thinking about two parallel plates with same charges (there's no electrical field between them). How can we calculate the repulsive force? Does anyone have any ideas besides numerical integration?
Thanks
Homework Statement
An electron with a speed of 5.0x10^6 m/s is injected into a parallel plate apparatus, in a vacuum, through a hole in the positive plate. The electron collides with the negative plate at 1.0x10^6 m/s. What is the potential difference between the plates?
Vi= 5.0x10^6...
If i have a parallel plates capacitor , where the plates have different charges , eg, one plate has 1 C of charge and the other is neutral , what's the potential difference? what if i grounded the neutral plate , will it gain 1 C of charge?
Hello
With regards to a common example in most fluid mechanics books where there exists fluid between two stationary parallel plates and the top plate is pulled until it has a constant velocity U with force F, the result is \tau=F/A = μU/L. Although this is probably obvious to most, I am...
Homework Statement
Compare the COMSOL results to the analytical solution for laminar flow between flat plates. Assume no effect of gravity on the flow (g = 0). The comparison will involve obtaining the velocity at a point in the flow field and the ΔP/L term. For example, you can compare the...
I'm a little confused between two approaches to this problem:
First approach (the one that makes sense to me):
Choose a Gaussian surface over each plate. We have 2EA=σA/Eo so E=σ/2Eo for the positively charged plate and likewise for the negative plate. Within the capacitor, the fields...
Homework Statement
If the electric field strength between two parallel plates 1cm apart is 3.1kN/C, how much energy will be used by the electric field to move an electron (placed half way between the plates) 3mm nearer to the positively charged plate?
Homework Equations
Work Done =...
There are two expressions of electric field between two parallel plates,say one carries Q and another carries -Q
Then the electric field between them=σ/ε0
But there is another expression that E=V/d where d is their distance of separation
What are the differences between them?And what are the...
Homework Statement
The figure below shows two parallel plates. Assume they are infinite in area (this way we can neglect edge effects). The plate on the left is at a potential of +60V and the plate on the right is at a potential of 0V. The plates are a distance 20cm apart and the dashed lines...
Hi,
I'm rather confused as to how this diagram in my book. I know that in order for a mode to propagate, a standing wave must be formed in the waveguide, and this happens above some cutoff frequency that one designs for. What I don't understand is, below cutoff, what happens? I don't...