Cavity Definition and 260 Threads

Hi, this is my modified post since I've been told that I have to use certain format. I hope this is good now. Homework Statement Copper (conductor) sphere of radious R with an spheric bubble inside placed at distance c from the center, with radius b. The metalic sphere has charge Q.Homework...

Homework Statement Hi everyone. I m just studying capacitors but I have problems with gauss law. In one exercise it says that we have a sphere(cavity) of radius r, with a charge q placed inside the sphere of it. Wie have to find the electric field inside and outside sphere. The solution says...

of microwaves?

Hey there, I have a quick question, and it can be answered with a reference to a book chapter of article. If I'm given the z component of the electric field inside a resonant cavity, and furthermore, if it's set that Bz = 0, how do I determine the other components for both E and B?

Original Problem: "A sphere of radius a is made of a nonconducting material that has a uniform volume charge density [PLAIN]http://jkwiens.com/2007/10/24/answer-electric-field-of-a-nonconducting-sphere-with-a-spherical-cavity/d2606be4e0cd2c9a6179c8f2e3547a85_2.gif. A spherical cavity of...

Homework Statement An iron casting weighs 300 N in air and 200 N in water. What is the volume of cavities in the casting, if the density of iron is 7800 kg/m3 ? Homework Equations d = m/V Fg = mg The Attempt at a Solution I was not sure in the slightest of how to solve this problem. So I...

Homework Statement I'm having trouble understanding my book's explanation of the electric field within a conductor with a cavity. http://imgur.com/mjHRQoq Homework Equations EA = qenc/ε The Attempt at a Solution So I understand the first two pictures, the electric field is 0 because the...

Homework Statement This is not a homework question and I am asking this question out of curiosity. We have been taught rectangular wave guides and cavity resonator recently and I don't want to gulp the wave equations as it is, so the problem that I am facing ( I have written it on paper and...

Homework Statement I am putting the picture of the equation given to me in book , I feel it to be wrong please tell me that is the equation written in book correct or not ! Homework EquationsThe Attempt at a Solution

I'm not sure if I should be asking this in the EE section, but here goes. I'm trying to understand more about resonant cavities and how they act to filter out frequencies other than the resonant frequency. In the case where a cavity resonator is coupled between two transmission lines, how...

Homework Statement A nonconducting sphere of radius r_2 contains a concentric spherical cavity of radius r_1. The material between r_1 and r_2 carries a uniform charge density rho_E(C/m^3). Determine the electric potential V, relative to V=0 at r= infinity, as a function of the distance r from...

Homework Statement Show that the number of photons in equlibrium at tempertaure t in a cavity of volume V is, N=[2.404 V (t/ħc^3]/Pi^2 The total number of photons is the sum of the average number of photons over all modes n->∑<s> Homework Equations n=Sqrt[nx^2+ny^2+nz^2] ωn=(n Pi c)/L...

hi, i am studing cavity QED - but needs some comprehensive book on that - i will be very grateful if someone guide me in this regard.thanks

Suppose a constant electric field exists in space as shown in the file and a open lid cube type conductor is brought inside the field. What would be the electric field in the question marked area. Would it be zero or equal to original electric field.

Homework Statement The fact that a laser's resonant cavity so effectively sharpens the wavelength can lead to the output of several closely spaced laser wavelengths, called longitudinal modes. Here we see how. Suppose the spontaneous emission serving as the seed for stimulated emission is of...

I've been reading lately in particle accelerators and electrons and it got me wondering. How do electrons induce resonance in a cavity resonator? Do they have to first be accelerated to one of the walls of the cavity where they then bounce off toward the other wall?

Homework Statement A long conductive cylinder contains two cylindrical cavities, as shown in the diagram. Find the magnetic field produced at point P just above the surface of the cylinder, the total current in the I and uniform current density over its section. Homework Equations...

When Planck's law is derive a cubical cavity is often used (for example in: http://disciplinas.stoa.usp.br/pluginfile.php/48089/course/section/16461/qsp_chapter10-plank.pdf) However, the result is applied generally. But in general, it seems like the wave lengths of the standing waves will...

I have read that electric field inside a cavity of irregular conducting surface having any charge is zero.how is this possible?

Homework Statement Hi guys, I have read this question over and over and have no idea where to start, would anyone be able to help. The Question Up to 20% of all heat lost in domestic dwellings occurs through walls. Many modern Australian homes are built by constructing walls...

Hello,I have a question about 2 (or more) atoms coupled to an optical cavity. The equations of motion in the interaction picture for 2 atoms in resonnance with an optical cavity starting from 1 excited atom (C_{eg,0}(t_0) = 1 ) (g is the coupling constant) \begin{cases} \dot{C}_{eg,0} &= -...

I am reading Two cavity Klystrons but not able to understand at all. I have a lot of questions about its working. Q1. Firstly, as we know that Klystrons are used as amplifiers for microwave frequency and conventional vacuum tubes can't be used due to interelectrode capacitance and lead...

Homework Statement Infinite straight conductor, parallel with z axis, of radius R1 with a cylindrical cavity of radius R2. The axis of the cavity passes through the point <0,b,0>. A current I flows through the conductor. The current density is homogenous inside the cundoctor. Find the...

Hello all! Homework Statement Consider a cylindrical cavity with length "d" and radius "a". Find the corresponding electric field, and the dispersion relation therein. Homework Equations Maxwell's equations. The Attempt at a Solution I tried to solve the appropriate vector Helmholtz...

Homework Statement A cavity of radius r is present inside a solid dielectric sphere of radius R, having a volume charge density of ρ. The distance between the centers of the sphere and the cavity is a. An electron e is kept inside the cavity at an angle θ = 45° as shown. How long will it...

Homework Statement a neutral conductor has a hollow cavity within it. When a point charge q = +6.3 nC is placed into this cavity How much charge will be found on each surface of the conductor? inner: -6.3 nC (negative charge being attracted by the positive charge that being put in the...

Hi all, I need a proper software for designing microwave cavities. I intend to use simple base geometries (e.g. closed box) with some modifications, like holes for optical access or for feeding the MW. These modifications however may seriously affect the Q factor, the frequency or might...

Hey, in my notes I have calculated the Eigenenergie of the Hamiltonian: H= \hbar \omega (n+\frac{1}{2}) \cdot \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} +\hbar \begin{pmatrix} \frac{\Omega_0 -\omega_0}{2} & g \sqrt{n+1} \\ g \sqrt{n+1}& -\frac{\Omega_0...

Suppose I have a charge inside a conductor as shown in the image I've attached. For any charge distribution: \oint \mathbf{E} \cdot d \mathbf{a} = 0 I can see that if I took some path from the charge, through the conductor, and back to the charge, the integral would be zero still. Now, that...

Hello i have to derive the quality factor Q i must start with Q=2\pi\frac{internal-stored-energy}{energy-loss-per-cycle} the quality factor should be in terms of λ so the last equation shall be Q=\frac{4\pi L}{\lambda (1-R)} i searched in google but i always get the Q-factor in...

I have to measure the size of a cavity of a animal body(s). What is more important I need to measure it on several bodies and compare the results. The cavity is small and contains liquid. That liquid can be extracted and that sets the volume of cavity to 0. It's important to note that the...

Consider a perfectly spherical dust shell with a large internal cavity. Imagine there is a moment when the dust is momentarily stationary and there is a string of clocks strung out along a radial axis. At this instant, I will assume that the spacetime inside the cavity is flat and all the clocks...

Hello, I have written 3D FDTD code with Mur ABC which gives correct results for time domain data. Now I want to compute the resonance frequency of a rectangular cavity using this 3D FDTD code. I don't know how I will do that. Would someone please advise me the steps I need to follow now to...

say you have spherical metal conductor with a cavity with a positive charge inside, the field inside the cavity isn't zero and will induce an opposite charge/field on the surface of the cavity which will cancel the charge inside and lead to a zero Electric field inside the conductor. the...

Homework Statement An insulating sphere of radius R , centered at point A, has uniform chagre density ρ. A spherical cavity of radius R / 2 , centered at point C, is then cut out and left empty, see Fig. (a) Find magnitude and direction of the electric field at points A and B. (b) Find...

Hi, I am dealing with a problem in Electrostatics. Homework Statement There is a sphere with a spherical cavity in it. The sphere itself does not have net charge, but inside the cavity, there is a point charge at the center of the cavity. What's the electric field inside the cavity? Homework...

Hi folks, I am having trouble generalizing a well-known problem. Let's say we have a cylindrical cavity inside a conductor, and in this cavity runs a line charge λ. I would now like to know the surface charge density on the inside wall of the cavity, but with the line charge not in the center of...

"][/URL]Hi to all, i have a SISO system with microwaves devices. The 16-QAM information is about 20KHz , upconverted at 30 MHz and then at 2462MHz.At the receiver the same procedure, downconverting. After the first LNA i have a BPF fc=2430MHz which has large Bandwidth so it does not protect...

Homework Statement An insulating sphere of radius a, centered at the origin, has a uniform volume charge density ρ. A spherical cavity is excised from the inside of the sphere. The cavity has radius a/4 and is centered at position h(vector) , where |h(vector) |<(3/4)a, so that the entire...

Homework Statement Here is a photo of a page in Laser Physics by Hooker: https://www.evernote.com/shard/s245/sh/2172a4e7-63c7-41a0-a0e7-b1d68ac739fc/7ba12c241f76a317a6dc3f2d6220027a/res/642710b5-9610-4b5b-aef4-c7958297e34d/Snapshot_1.jpg?resizeSmall&width=832 I have 3 questions (I'm a bit...

Hello there, I have been searching for MATLAB simulations that analyze optical cavities and there are some useful codes. Yet, I haven't found codes that analyze what happens to cavit transverse modes if spatially dependent phase is introduced between mirrors Does anybody know if there...

I'm not exactly sure what I'm trying to ask, and I'm not very keen on laser physics, so bear with me. If I have a system in an excited state that can decay by spontaneous emission with a certain lifetime, what is the effect of placing it in a cavity with a mode resonant with this transition...

I am trying to understand the implications of the Birkhoff theorem as it applies to a cavity within a spherically symmetric, stationary thin shell. Is the region of space-time within the cavity described by the actual Minkowski metric diag{1,-1,-1,-1}, or is it some other metric with constant...

Homework Statement A constant direct current of uniform density ##\vec{j}## is flowing in an infinitely long cylindrical conductor. The conductor contains an infinitely long cylindrical cavity whose axis is parallel to that of the conductor and is at a distance ##\vec{\ell}## from it. What will...

Homework Statement A point charge q is at the center of an uncharged spherical conducting shell, of inner radius a and outer radius b. How much work would it take to move the charge out to innity? (find the minimum work needed. Assume charge can take out through a tiny hole drilled in...

I've been self studying microwave engineering for a little while, and also I work in the radio telecommunications field. I try to relate what I've learned in the book to what I encounter in out in the field. Recently I was studying resonant cavities. From what I thought I understood about...

Homework Statement A cavity block wall of area 10m2 constructed of 100 mm concrete, 50 mm air gap, 50 mm of polystyrene and a second 100 mm wall of concrete. The wall contains three windows with dimensions of 0.5 m x 0.7 m with glass 4 mm thick. The outside temperature is 5 °c and the inside...

1. LiNbO3 is a negative uniaxial crystal. Consider a LiNbO3 crystal used for frequency doubling a laser operating at 1064 nm. The non-linear coefficient is d=3.4x10-23. For the setup considered it is desirable to have a non-linear conversion efficiency of 0.04 %/W, Assume constant fundamental...

I am going to build a drum out of a propane tank. I think it will be handy to find the resonant frequency of the tank and choose the tuning accordingly so not to pick frequencies that are extremely damped. I have a cavity resonance formula found on hyper physics I am not going to build a...

Homework Statement Consider a sphere conductor with a inner concentric sphere cavity. The radius of the inside and outside of sphere are 10 cm and 20 cm. The electric field in a point P, along the outer surface has a intensity of 450 N/C and it is directed out of the surface. When a particle...