A book listed the problem infinite circular cavity under internal pressure and said there is a analytical solution for stress and displacements but it didn't give any reference.
I have searched many papers and online materials but still couldn't find anything.
The closest thing I found...
Hi,
I'm here for help and hope somebody could give a hand on this because I'm noob in this.
I'm now constructing a MATLAB program to find Electrical field and potential within a square grid mesh with square cavity inside.
like the picture above.
I only manage up to this...
How do I calculate sound pressure inside a channel. I have a channel of 40 mmx 40 mm cross sectional area. I have placed a sound source on one of the side wall that resonates at 50 Khz.
I know the voltage required to drive the transducer. The transmit voltage response of the transducer is 110...
So I'm about to construct a TE102 microwave resonator from folded copper sheeting. I'm planning to fold a U shape and join it to the last side with silver solder. Is this going to work well?
I'm planning on making good physical contact through accurate folding, and then securing the pieces...
Hi,
I'm having trouble understanding where the formula (appearing in my notes or Wikipedia) comes from.
One can read on Wikipedia: The phase difference between each succeeding reflection is given by
\delta = \frac{2 \pi}{\lambda}2nlcos\theta
Where n is refractive index inside cavity, l...
this is a short abstract of problm i m working upon..so please help ..suggestions are kindheartedly welcome...
a spherical cavity of radius R in a Mohr-Coulomb incompressible material. properties are defined by Young's modulus E, Poisson's ratio v, internal angle of friction (shi)
i...
Homework Statement
I got this problem (Sectional image of a cylinder):
http://img715.imageshack.us/img715/3448/cylinder.jpg
Besides that I know that the cylindrical conductor is infinite long, and the same is the cavity.
And through the conducting material there is a current density that is...
Homework Statement
A charge q is uniformly distributed over the volume of a solid sphere of radius R. A spherical cavity is cut out of this solid sphere, and the material and its charges are discarded. Show that the electric field in the cavity will then be uniform, of magnitude...
we know that vector potential in a resonator satisfies the equation \intA(\lambda)A^{*}(\lambda^{'})dV=4\pic^{2}\delta_{\lambda\lambda^{'}
So how about in cavity of arbitrary shape? Does this equation still valid?
Thanks!
Homework Statement
Use the divergence theorem to find the outward flux of a vector field
F=\sqrt{x^2+y^2+z^2}(x\hat{i}+y\hat{j}+z\hat{k}) across the boundary of the region 1\leq x^2+y^2+z^2 \leq4
Homework Equations
The Gauss Divergence Theorem states \int_D dV \nabla \bullet...
A uniformly charged sphere (center 0,0) with radius 2a and volume charge density \sigma has a cavity within it (center 0,a) with radius a. Show that the electric field within the cavity is uniform and Ex=0 Ey=\frac{a\sigma}{3\epsilon} where \epsilon is the permittivity of free space.
Hi, I...
One of my professors made an X-band cavity resonator by putting together, end to end, two X281A coaxial waveguide adapters (n-type) with cut center pins. It works pretty well - but I need some more information. Does anyone know where can I find some more information on this setup...
Homework Statement
I have :
Spherical conductor of radius=x;
Spherical conductor has a inner cubic cavity of side = b;
inside the cubic cavity we have a charge = y;
the surface of the sphere has a charge density = z;
I need to calculate the electric field at some point g, where g>r...
Hey there, I recently solved for the resonant modes in a 3d metal box.
Thats nice, but I was wondering about how to actually excite the modes (its a sealed metal box)
Supposing I actually excited these modes by shining incident em radiation such that a portion [of the incident wave]...
Homework Statement
A charge distribution has the shape of a very large disk of thickness 3d. This disk has three layers of uniform densities \rho_{1},\rho_{2},\rho_{3} and thickness d each one. Within the layer with density \rho_{2} exists a tiny cubical cavity in such a manner that two of...
Homework Statement
Well, there are two problems, both of which would allow me to receive extra credit in my college physics class! Both are rather descriptive, so I have linked an image to it.
http://img87.imageshack.us/img87/9570/1000497y.jpg"
Homework Equations
For the first, I was...
Here's an interesting article about a new breakthrough in the manufacture of a superconducting radio-frequency cavity:
http://nextbigfuture.com/2009/09/superconducting-radiofrequency-cavity.html
If this new cavity were tested for EMdrive purposes, could it reveal a new mechanism for...
Homework Statement
A cylindrical cavity oriented along z axis with length of 2 m has a filament in it upon which a current of 10 A is impressed. Cavity is perfectly conducting whereas it is filled with lossy dielectric. Electric field on the cavity is given as: E=-z(i+j). One has to...
The diagram accompanying this post shows a cylindrical column bored at right angles to a flat surface. Let’s say the material is a block of brass with a hole drilled in it. The arrow represents a fast moving stream of compressed air. As the air passes over the top of the column a high pitched...
Q6. Inside a fixed sphere of radius R and uniform density d ,there is a spherical cavity of radius R/2 such that the surface of the cavity passes through the centre of the sphere . A particle of mass m is released from rest at centre B of the spherical cavity. Calculate the vel. withwhich the...
1. The Question
An isolated conductor of arbitrary shape has a net charge of +10\times10^{-6}C. Inside the conductor is a cavity within which is a point charge q = +3\times10^{-6}C. What is the charge on the outer surface of the conductor?
2. The attempt at a solution
On cavity wall...
Why is it that an antenna/waveguide is only connected to one cavity in the magnetron, such as in a microwave? Are the resonating RF waves in the other cavities wasted then?
Thanks!
Edit: Also, are magnetrons always thermionic diodes?
Homework Statement
Prove that the quality factor of a rectangular cavity resonator which is filled with a lossy dielectric but has perfectly conducting walls, is given by
Q = \frac{1}{\tan\delta}
where \tan\delta is the loss tangent, i.e. the ratio of the imaginary part of the dielectric...
Question: An infinite cylindrical wire with radius 2R caries a uniform current density J=Jz, except in an infinite cylindrical hole parallel to the wires axis. The hole has a radius of R and is tangent to the exterior of the wire. Calculate the magnetic induction B everywhere inside the hole...
Homework Statement
A charge q is uniformly distributed over the volume of a solid sphere of radius R. A spherical cavity is cut out of this solid sphere and the material and its charge are discarded. Show that the electric field in the cavity will then be uniform, of magnitude kqd/r^3, where...
Hi,
I am trying to work out the resistances for the following cavity wall. I am having to work backwards. I have the U value, which is 0.48. The brickwork is 103mm, the insulation in cavity is 50mm, lightweight concrete block is 100mm and plaster board is 13mm.
I know
total thickness...
Homework Statement
Show the electric field inside an empty cavity in a conductor is zero, even if there is a charge outside the conductor. If a charge is placed inside the cavity, will there be an electric field outside the conductor. Explain Clearly. Assume that both the conductor and cavity...
Hello,
I'm learning EM from Bleaney & Bleaney and got stuck on Ex2.1 (can do Ex2.2-2.7, though...) - If the polarization charge on the surface of a spherical cavity is -s.cos(theta), prove that the field strength at the centre is s/3e0. If I expand V(r) within the cavity as A.r.cos(theta) +...
Homework Statement
The hydrophobic effect is important in stabilizing the folding of globular proteins. This is because of the drive to reduce interfaces between hydrophobic side chains and the solvent, usually polar water. One can estimate the contributions from hydrophobic forces to protein...
Homework Statement
A long straight wire of radius R carrying a current I has a circular portion of radius a cut out at a distance d from the center, as shown in the picture. Find the magnetic field inside the cut-out portion.
Homework Equations
magnetic field equation (I can't write it...
A laser cavity consists of a couple mirrors, a bunch of metastable molecules and some radiation. What's the partition of energy between molecules and radiation at equilibrium?
cavity on a water surface
A vertical air jet from a straw produces a cavity on a water surface. What parameters determine the volume and depth of the cavity?
Homework Statement
Basically, the problem states that a cavity at temperature T is emitting EM waves isotropically in all directions (with frequency distribution of Planck's Law). If the time averaged density is <e>, find the value of d<S>/dw where w is the solid angle and the quantity is the...
Homework Statement
A uniformly charged sphere (center O1) with radius a and charge +Q has an off-center cavity within it (center O2) with radius b. Show that the electric field within the cavity is uniform and is directed along the line of centers, according to the equation:
\vec{E} =...
Gauss' Law - Sphere with spherical cavity - Please help
Homework Statement
A sphere of radius 2a is made of nonconducting material that has a uniform volume charge density . (Assume that the material does not affect the electric field.) A spherical cavity of radius a is now removed from the...
Homework Statement
The polarization charge on the surface of a spherical cavity is - \sigma_e cos(\theta) at a point whose radius vector from the centre makes an angle \theta with a given axis Oz. Prove that the field strength at the centre is \frac {\sigma_e}{3 \epsilon_o} parallel to...
In a cavity 12.5 cm by 3.9 cm, with Y being 12.5 cm and X/Z being 3.9, how would you calculate the resonance for that internal volume. The volume is filled with air and the sidewalls are not rigid. This is also assuming that one end is open.
I can, of course, give more information if it's...
Homework Statement
Considering a cylinder of radius, R, and length D with uniform charge density p containing a spherical cavity of radius R/2. Find the field in the cavity.
The cavity sits on one side of the cylinder so that it's diameter spans from the concave face of the cylinder to the...
The figure shows a cuboidal shaped conductor inside which there is an ellipsoidal cavity. The center of the cavity is at the center of the cuboid.
Link to figure: http://www.picscrazy.com/view/1qtB9
A charge qo is kept at the center of the cavity. I am showing two positions 'A' and 'B'. MY...
http://optics.ph.unimelb.edu.au/atomopt/publications/littrow_rsi_vol72_p4477_2001.pdf
The picture of the ECDL I explain can be found from the above web site.
The purpose of piezo is to change the cavity length of the diode laser, so that the wavelength can be varied.
From the picture...
hi ,
I am confused with these two terms microwave cavity and
microwave chamber . Some say that the microwave chamber
inside which food gets cooked acts like a resonant cavity
( which I believe is not true ) because resonance must best be
avoided inside the chamber .Resonance I think...
An irregularly shaped chunk of concrete has a hollow spherical cavity inside. The mass of the chunk is 38 kg, and the volume enclosed by the outside surface of the chunk is 0.025 m3. What is the radius of the spherical cavity?
I think you have to find the surface area to solve for the radius...
An insulating sphere of radius 5.00 cm , centered at the origin, has a uniform volume charge density 3.05 uC/m^3 . There is a spherical cavity cut out of its center of radius 2.00 cm.
Well i know to use Gauss' Law:
Φ = ∫E∙dA = Q/ε
where Φ is the electric flux, E is the electric field, dA...
Hi,
I know this is dumb question, and I should be able to figure it out and move past it, but I can't. The optics book I have begins its treatment of Fabry-Perot cavities by considering the case of an undamped optical resonater (perfectly reflecting mirrors). Here's a quote from it:
If that...
Hi,
So I have a lab question for which I have to drive a formula to find the optical cavity length of a laser, L . I have results from testing the fringe patterns when I move one of the mirrors in a Michelson interferometer. It shows the typical \frac{\sin x}{x} pattern. To find the cavity...
In order to produce coherent laser light is it necessary that the length of optical cavity between the mirrors is a multiple of the wavelength of laser light? I cannot see how otherwise the laser been could bee coherent. On the other hand I don't see how it is possible to place the mirrors with...