Shell Definition and 784 Threads

If I have a +5 nC charge on the inside of the shell, the inside surface would be -5nC, the outside would be +5 nC and between those surfaces there would a 0 charge, right? So just to make sure I have it all straight, the INSIDE of the shell would actually be 0 because the INNER SURFACE is -5...

1. Homework Statement A nonconducting spherical shell of inner radius R1 and outer radius R2 contains a uniform volume charge density ρ throughout the shell. Use Gauss's law to derive an equation for the magnitude of the electric field at the following radial distances r from the center of...

Homework Statement A nonconducting spherical shell of inner radius R1 and outer radius R2 contains a uniform volume charge density ρ throughout the shell. Use Gauss's law to derive an equation for the magnitude of the electric field at the following radial distances r from the center of the...

Homework Statement Consider a spherical shell with radius R and surface charge density σ = σ0 cosθ (a) What is the total charge carried by the shell? (b) Please evaluate the charge carried by the upper hemisphere, in terms of σ0. Homework Equations Q=∫σ0 cosθ da The...

Homework Statement (1)A conducting sphere w/ charge +Q is surrounded by a spherical conducting shell. What is net charge on inner surface of the shell? (2) A charge is placed outside the shell. What is the net charge on the inner surface now? (3) What if the shell and sphere are not...

Homework Statement A small charged ball lies within the hollow of a metallic spherical shell of radius R. Here, for three situations, are the net charges on the ball and shell, respectively: 1 +4q, 0 2 -6q, +10q 3 +16q, -12q (a) Rank the situations according to the charge on the...

Homework Statement Compute, in the following two ways, the electrostatic energy W of the uniformly charged solid sphere of radius a (charge density \rho) that is surrounded concentrically by a uniformly charged thin spherical shell of radius b (surface charge density \sigma), where the...

[b]1. A solid sphere of radius a = 12.8 cm is concentric with a spherical conducting shell of inner radius b = 37.1 cm and outer radius c = 39.1 cm. The sphere has a net uniform charge q1 = 9.00×10-6 C. The shell has a net charge q2 = -q1. Find expressions for the electric field, as a function...

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...

I need to build a pressure accumulator which will be then used as a spring actually (upper side of the accumulator will be filled with nitrogen, and the lower won't be filled with oil, but will have a rod which will be holding movement of a machine part (rod) at a high frequency.) I'm having...

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 I have an element: {}^{207}Pb, with Z=82, and A=125, and I need to find spin and parity of it.Homework Equations The angular momentum is determined by the angular momentum of the last nucleon that is odd, in this case it will be one unpaired neutron. Now what confuses me is...

Homework Statement Calculate the allowed total angular momentum quantum numbers J for 2 protons in a nuclear shell model state j = 3/2. Homework Equations J = j1 + j2 where j are the total angular momenta of each proton. Protons are spin 1/2, orbital angular momentum L is not given...

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...

The figure below shows a closed Gaussian surface in the shape of a cube of edge length 2.20 m. It lies in a region where the electric field is given by = [ (3.00x + 4.00) + 6.00 + 7.00 ] N/C, where x is in meters. What is the net charge contained by the cube? So i used the x value of 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...

Picture: http://img263.imageshack.us/img263/7361/ongelma.jpg Homework Statement Solve the potential energy of a charged sphere-shaped metal shell. What happens when you place a smaller, grounded sphere-shaped metal shell inside of that shell? What is the potential energy then? How about the...

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...