Shell Definition and 750 Threads

Homework Statement An insulated spherical conductor of radius R1 carries a charge Q. A second conducting sphere of radius R2 and initially uncharged is then connected to the first by a long conducting wire. (a) After the connection, what can you say about the electric potential of each...

Homework Statement In photoelectric effect, why does photon prefer K shell electron? Asked differently: In photoelectric effect, why does photon prefer electron of closest binding energy, rather than going for another electron of much lower binding energy? Homework Equations...

Does this decay leave the He3 atom with only one electron? The only decay productsas far as I can tell are the electron and antineutrino, so it seems like the atom would only retain the original H3 electron. Now if that's the case, why is the beta decay electron emitted rather than fitting...

Hi. I have read some QM and am trying to use it to understand why the noble gas configuration is the most desirable for an atom. It is my understanding that an anti-symmetric spatial wavefunction has a lower energy, since the electrons tend to be further apart. This means that the atom will...

Homework Statement Use the shell method to find the volume of the solid obtained by rotating the region bounded by y=x2, y=0 and x=1 about the x-axis. Homework Equations lim Ʃ2∏RhΔw Δw->0 The Attempt at a Solution I realize this is hard to visualize without a graph. I...

Homework Statement A long cylindrical insulating shell has an inner radius of a = 1.37 m and an outer radius of b = 1.60 m. The shell has a constant charge density of 2.70 10−9 C/m3. The picture shows an end-on cross-section of the cylindrical shell. What is the magnitude of the electric...

Homework Statement The inner radius of a spherical insulating shell is c=14.6 cm, and the outer radius is d=15.7 cm. The shell carries a charge of q=1451 E−8 C, distributed uniformly through its volume. The goal of this problem is to determine the potential at the center of the shell (r=0)...

how to proof that the electric fielf inside a conducting shell is zero ? i don't want to solve it using gauss law and not through practically taking example but i wanted to solve it through vector by finding the resultant zero at any point? please explain?

What is means that unintegrated parton distributions and matrix elements are supposed to be gauge invariant??

Homework Statement A non-conducting spherical shell is uniformly charged. The electrostatic potential \phi at the centre of the sphere is \phi1 = 200V The potential at distance r = 50cm from the centre is \phi2 = 40V Find the radius of sphere: a Homework Equations I seem to have...

Hi. I'm currently working through Griffith's Introduction to QM, and have gotten to the section on the periodic table. I'll explain my understanding a little bit... Before this he's been looking at the Hamiltonian for helium: H = \left[ \frac{- \hbar ^2}{2m}\nabla _1 ^2 - \frac{1}{4 \pi...

Just wondering if we have a non-conducting spherical shell which is uniformly charged and we know the potential at the centre and the potential at some radius how can we find the radius of the shell?

Homework Statement Find the pressure on a uniformly charged spherical conducting shell of Radius R and total charge Q. The answer is (Q^2) / (32*π*ε*R^4) I´m fine doing this using the derivative of the energy as the sphere grows to get the force. My question is: Why do I get twice the answer...

This problem is driving me mad suppose that we have a positive charge inside a non conducting spherical shell uniformly charged the charge is at a random place inside the shell but not in the center the textbook says the charge will feel no force from the charges of the shell and the...

Homework Statement A particle of mass 1 kg and charge 1/3 μC is projected towards a non conducting fixed spherical shell having the same charge uniformly distributed on its surface. Find the minimum initial velocity of projection required if the particle just grazes the shell...

The volume charge density of spherical shell varies as ρ=-kr.If we have to calculate electric filed using gauss's law, can we treat as E. dA as E(dA) as there is azimuthal symmitry Homework Equations The Attempt at a Solution

Homework Statement Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axes. Now, I don't know how to put the graph on here, but the equations are below. The shape revolves around the line y = 2 to produce the solid.Homework...

Homework Statement Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the given axis: y = x2, y = 0, x = 1, x = 2, about x = 1 Homework Equations V = 2\pi\intxf(x) The Attempt at a Solution I am assuming based off the...

Homework Statement A metal sphere of radius a is surrounded by a thick concentric metal shell (inner radius b, outer radius c). Neither the shell nor the sphere carries any charge, but there is a point charge +Q located inside an irregularly shaped cavity in the otherwise solid sphere as...

Homework Statement x=y^(2), x=4, about the x axis.Homework Equations 2pi* integral from a to b of radius*height of function*thickness The Attempt at a Solution I have 2pi* integral from -2 to 2 of y*(4-y^(2)) dy but that does not make any sense. Answer comes out to be 0. The real answer is...

Homework Statement Write a bash shell script to do the following: # This shell script renames all files in the current # directory, removing all vowels in the names. # if the resultant name would lack any characters (excluding the extension) # The file is not renamed. Also does not attempt to...

Homework Statement Find the volume of the solid created when the area between the function y=xe0.5x and the x-axis (for 0≤x≤2) is rotated about the line x=-2 Homework Equations Shell Method: Vs = ∫ 2∏r * f(x) The Attempt at a Solution r = x + 2 r * f(x) = x2e0.5x + 2xe0.5x Thus, 2∏∫...

Homework Statement The electric potential at the center of a (5.00cm radius) metallic sphere is zero Volts. The sphere is surrounded by a concentric conducting shell of 10.0cm outer radius and a thickness of 2.0cm. The shell has a net charge of +20mC. a.)Find the charge on the sphere. b.)Give...

Why isn't ΔQ/Δt just P? Thank you!

Hey, I just wanted to double check if what I am thinking is correct. Say you have a spherical shell of inner radius R1, and outer radius R2, which is made of a perfect conductor carrying a charge q1. E=0 inside (r<R1) (and also between R1<r<R2 but not worried about that) So the...

Hello, I'm looking for some feedback on and an analysis of a spreadsheet calculator I've made. It looks at temperature changes over time, given starting volumes of a building shell and thermal mass. The calc takes into account building fabric and ventilation heat losses. First I've...

A very long insulating cylindrical shell of radius 6.40 cm carries charge of linear density 8.90μC/m spread uniformly over its outer surface. What would a voltmeter read if it were connected between the surface of the cylinder and a point 4.00 cmabove the surface? λ=dq/dr V=k∫dq/r...

Homework Statement So I'm completely confused on how to solve shell method problems. I think understand it, and then there's a problem that shows that I do not understand it at all. So I want to start basic When you're the following : rotated about the x-axis #1) y=x^3 x=0 y=8...

Homework Statement Prove that an object within a spherically symmetric shell with uniform density will feel no gravitational force due to the mass of the shell. Let the density of the shell be ρ, the mass of the object be m, the radii to the inner and outer surfaces be r1 and r2 respectively...

Im new to these forums. Hope i posted this in the right section. I watched the movie "The a-team". There is a scene where there is tank under free fall, and they fire the canon sideways to move the tank whilst free fall. I wish to calculate if this is possible or if possible, how much exact...

INSIDE SHELL Not sure if it is done erroneously or blatantly but there is a mammoth difference between “Force ON the particle” and “Force BETWEEN the particles” Therefore just suffice it to say that the net force ON the point mass at exact center of the spherical shell is zero but the...

Homework Statement y=x^(1/2) x=4 find volume of revolution about the line x=4 this was a test problem and i chose x as p(x) [radius] but now i think that it should've been (x+4). :confused:

I am having some difficulties understanding something here, it seems to me that the book at some point deny itself or I clearly do not get it. So it firstly states that: Inside the spherical shell the potential energy does not depend on radius from the center of the shell to the point of...

Use the shell method to find the volume of a solid generated by revolving the region bounded by the given curves and lines about the x-axis. x=2√y x=-2y y=1 So I drew a graph and then using the equation v=∫2πrh and I got the following v=∫(from 0 to 2) 2π(y-1)((2√y)-(-2y)) but...

My teacher explained a problem of a hemispherical shell in class but i don't understand what he is doing. http://img116.imageshack.us/img116/7656/naamloos27mf.gif

Calculationg the electric field of an insulating sperical shell using integration? Homework Statement We are asked to calculate the electric field at the center of an insulating hemispherical shell with radius R and a uniform surface charge density using integration. Homework...

Homework Statement A metallic spherical shell of radius a is cut in half at its equator. The two halves are separated very slightly and are maintained at potentials +V_{0} and -V_{0}. I am trying to find the electric field at the center of the sphere. Homework Equations The equation for...

Homework Statement What is the shell model spin and parity of _{38}^{89}Sr? 2. The attempt at a solution If i fill the levels as we usually do, Protons will end up in the level 1f_{5/2} with 6protons,ie the level is completely filled If the neutron number is considered,1g_{7/2}...

Homework Statement I have a really basic task in which I have to make a shell script, pipe ls to grep and only output files that has capitals in it, meaning no lower case, no symbols, no numbers, etc. I've been searching all over google and my notes but I've been doing this over an hour...

Homework Statement A long cylindrical shell of radius R = 12.3 cm carries a uniform surface charge 4.60E-6 C/m2. Using Gauss's law find the electrical field at a point p2 = 16.5 from the center of the cylinder. Homework Equations EA=q/epsilon0 The Attempt at a Solution This is what...

Is there a general rule when to use the shell or washer method when working with calculating volumes of functions rotating about an axis? For instance should I use the shell method when rotating about the y-axis and use the washer method when rotating about the x?

Homework Statement Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = √x Homework Equations V=2∏∫p(x)h(x) dx a=0 b=8 The Attempt at a Solution V=2∏∫(x)(√x)dx a=0 b=8...

I am concerned regarding a lemma of the shell theorem. Specifically, I am concerned with the idea that due to the vector nature of the forces, that one can simplify this: into this: Could somebody precisely explain why we're allowed to multiply in the \cos \varphi in the second equation?

While I do see how this makes sense using Newton’s Shell method, I don’t see how Gauss’ Law of Flux for a closed surface proves the same thing. Both Gauss’ Law of Flux and Newton’s Shell method make perfect sense to me in showing that when dealing with a point outside the hollow conducting...

hi all, Actually I'm looking for little help and kinda confirmation, in order to verify that I understood the logic of construing the stiffness matrix. I got the logic of how to construct the stiff matrix for bending and membranes to some level, although FEM books suggests to simply combine...

Homework Statement consider a long cylindrical dielectric shell of inner cross-sectional radius a , outer radius b, and constant volume charge density raw zero . THe potenials of the ineer and outer surfaces of the cylindrical shell are held at potentials 0 and V respectively as shown in the...

Prompt: Find the moment of inertia about the z-axis of the hemispherical shell of problem II-6. Additional Info.: -Problem II-6 states: the distribution of mass on the hemispherical shell z=(R^2-x^2-y^2)^1/2 is given by o(x,y,z) = (o/R^2)(x^2+y^2) where σ0 is a constant. Find an expression in...

Homework Statement I'm trying to do problem 3.28 in griffith's electrodynamics. The problem statement is, to find the dipole moment of a spherical shell with charge distribution σ = kcosθ The way I tried to do it was to use the definition of dipole moment, which griffith defines as P=...

Is there one out there? Do we have any reason to believe we can treat other objects like point masses as well? I ask because if you consider line-world, and there was a 4m segment with uniform density 3kg/m located with it's left end at (3), the center of mass would be at (5), and I am...

Homework Statement A thin spherical shell lying on a rough horizontal floor is hit by a cue in such a way that the line of action of force passes through the centre of the shell.as a result the shell starts moving with a linear speed v without any initial angular velocity.find the linear speed...