Shell Definition and 750 Threads

(EDITED) 1. Use the shell method to find the volume of the solid generated by revolving about the y-axis. x=y^2, x=y+2 2. same as #1, except change y and x for the two equations and revolve about x-axis. I tried doing 2pi\int_{x=0}^4(x)(\sqrt{x}-x+2)dx but the answer is off for #1. I...

(EDITED) 1. Use the shell method to find the volume of the solid generated by revolving about the y-axis. x=y^2, x=y+2 2. same as #1, except change y and x for the two equations and revolve about x-axis. I tried doing 2pi\int_{x=0}^4(x)(\sqrt{x}-x+2dx but the answer is off for #1. I tried...

If a spherical shell has a net charge of say +4.0micro coulombs do I assume that this charge is equally distributed between the inner and outer surfaces of the shell (ie +2.0 micro coulombs on the inner surface and +2.0 micro coulombs on the outer surface)? Thanks *This is not homework...

Homework Statement Consider a uniformly charged thin-walled right circular cylindrical shell having total charge Q, radius R, and height h. Determine the electric field at a point a distance d from the right side of the cylinder as shown in the figure below. Homework Equations E =...

Hello there, i wanted to know what is the difference between a surface in R^2 and a surface in R^3 in an xyz cordiante system. More specifically how do they look like? an example please. Is this different from a 2 dimensional surface and a 3 dimensional surface respectively. Also what...

Homework Statement Consider a thin spherical shell of radius 14.0 cm with a total charge of 32.0 %C distributed uniformly on its surface. Find the electric field (a) 10.0 cm and (b) 20.0 cm from the center of the charge distribution. Homework Equations The Attempt at a Solution...

Homework Statement I'm trying to find the dipole moment of The surface charge distribution is: \sigma = \sigma_{0} sin 2 \theta Homework Equations The Attempt at a Solution p_z=\int_{0}^{\pi}{\sigma* z* dA } = \int_{0}^{\pi}{(\sigma_0 \sin{2...

What is the capacitance C of a capacitor that consists of two concentric spherical shells, the inner of radius r_{1} and the outer of radius r_{2}? What would the limit be if r_{2}-r_{1}<<r_{1}. What would happen if r_{2} goes to infinity (assume the potential there is zero)? Some equations...

Calculate the dipole moment of a spherical shell of radius 'a' whose surface charge density is σ=σ0(1+cos(θ)). The origin is at the center of the sphere. What I know: 1) p=∫r'*ρ*dV' I'm having trouble understanding how to transform this equation so that I can calculate the dipole moment...

1. A spherical shell of radius R has a constant surface charge density, sigma. It rotates about its diameter with angular speed, w. Find the magnitude of the magnetic moment of the rotating spherical shell. 2. Magnetic dipole moment u = NIA(normal vector) ; Torque = u X B; Spherical Volume...

Electrostatics: spherical shell [SOLVED] Homework Statement A point charge Q_1 is located in the centre of a spherical conducting shell with inner radius a and outer radius b. The shell has total charge Q_2. Determine the electrostatic field \vec{E} and the potential \phi everywhere in...

When working on homework problems having to do with voltage, there is often the stipulation that V=0 at infinite. If you are dealing with a spherical conductive shell with charge Q, the Electric Field E is equal to K*Q/R^2, where K is the vacuum permittivity constant and R is the radius of the...

Now, i am trying to prove that electric field inside spherical shell whose constant surface charge density \rho is zero. Usually, it is proved by using Gauss law (there is no charge enclosed inside gaussian surface so there is no electric field inside the sphere). But, whe i am trying to solve...

1. A thin spherical shell of radius 6.8 m has a total charge of 7.77 C distributed uniformly over its surface. Find the electric field E 10.4 m from the center of the shell. Answer in units of N/C. ke = 8.988 * 10^9 Nm^2/C^2 2. E = ke * (Q/r^2) 3. I did (8.988 * 10^9...

Hey Guys, I wanted to clarify something I'm not too sure about. The charge inside (in the center not actually in the shell) of a charged non-conductive spherical or cylindrical shell is zero, am I wrong? The reason being the geometry within the shell cancels all the charges within. Any...

Homework Statement Evaluate using the cylindrical shell method, the volume of the solid of revolution obtained by rotating the region enclosed by the curves y=x^3, y=-x and y=1 around the line y=-1. The attempt at a solution The answer is suppose to be 127(pi)/42 but I keep getting...

Homework Statement We learned in E&M about the Dirac Delta function and its applications to representing the densities of point charges in space. For example, the charge density of space with a point charge q at the origin is given by q*delta(r). How does this density representation work with...

Homework Statement A nonconduction spherical shell, with an inner radius of 4.0 cm and an outer radius of 6.0 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The volume charge density p is the charge per unit volume, with the unit coulumb per cubic...

Homework Statement 1. 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 x-axis. y= \frac{1}{x}, x = 1, x = 2, y = 0 2. A solid is generated by revolving the region bounded by y =...

Dear all, i met a problem that i couldn't get the on axis field of a finite solenoid that integrating from a thin shell solenoid equation. The thin shell equation link: http://www.netdenizen.com/emagnet/solenoids/thinsolenoid.htm And the on axis finite solenoid equation link...

Hello I have a conceptual question about the following. Suppose I have a spherical shell with charge density \sigma that is uniformly distributed throughout its surface. My shell has radius a. Then I cut a little circular piece of radius b with b << a. Then I know that my electric field at...

Homework Statement Use the shell method to find the volumes of the solid generated by revolving the regions bounded by the curves and lines. x=2y-y2, x=0 Homework Equations The shell method is of the format: V = 2 \pi\int x * height dx The Attempt at a Solution I cannot...

Hello! I'm new here and I was wondering if anyone could help me. I've a program in fortran which I want to combine with Matlab, both working in Ubunt 7.10 but I don't want to use mex-functions or MATLAB engine functions because it could cause damage to the fortran program I'm using. I was...

A glaucous-winged gull, ascending straight upward at 5.40 m/s , drops a shell when it is 13.5m above the ground. What is the magnitude of the shell's acceleration just after it is released?

Hey all, just a simple question that's confusing me about amplitudes for feynman diagrams. How do i know whether a system needs to be considered as being on shell, and hence has an imaginary component included in the denominator of the propagator? If i have one propagator which is required...

To my understanding this is an electron in the K-Shell being absorbed by the the nucleus and along with a proton converted into a neutron with the emission of a neutrino. My question is what force is acting here? Nuclear? If so, how can nuclear forces act on an electron, when the range of...

What do we mean when we say "on shell" particles? Hello! What do we mean when we say a particle in on shell? What is off shell? I gather it is related to energy and momentum conservation to say if a process is possible, but I've no idea what it actually is. Is it something to do with...

The nuclear shell model is based on the shell model for electrons, and in the electron shell model, lasing is possible under the right conditions. Does this mean that if the nuclear shell model is correct, a nucleus will be able to undergo lasing. And does anyone know if this has ever been...

Homework Statement The inner radius of a spherical shell is 14.6 cm, and the outer radius is 15.2 cm. The shell carries a charge of 5.35 × 10-8 C, distributed uniformly though its volume. Sketch, for your own benefit, the graph of the potential for all values of r (the radial distance from the...

y=x^4, y=sin(pix/2); about x=-1 the solution is attached . how he determinate it to be from 0 to 1 ...? as I know , we usually put for example the expression of y1 = y2 and solve it for zero but in this case is not easy to do it,so how did he do it...?? note: my english is...

Homework Statement Find the electric field and potential inside and outside a hollow spherical shell (a \leq r \leq b) which carries a charge density proportional to the distance from the origin in the region, \rho=kr, for some constant k. Homework Equations The Attempt at a Solution I think...

what the energy spectrum to second order in the field strength for a spherical shell?

I'm trying to write what is basically a search and replace script. Full disclosure: This IS a homework assignment, and my attempt is below. It is supposed to have a usage statement, which I think is pretty solid so far. The problem is at the end where I do that actual searching and replacing...

Hi all, Homework Statement In this question consider the nucleus 15N (The 15 is the atomic mass, so superscript top left of N), and refer to the shell model diagram. (a) Predict the ground state spin and parity, Jpi. (b) Write out the relevant odd particle configuration in the form: p (or n)...

Homework Statement The function is y = 2 - x. The region is bounded by x = 2 and x = 4. Calculate its volume by the shell method by rotating it by the x axis. The Attempt at a Solution This problem has been consuming my mind. I calculated it by the disc method and shell method but I...

Homework Statement 10C of charge are placed on a spherical conducting shell. A -3C point charge is placed at the center of the cavity. The net charge in coulombs on the inner surface of the shell is... A. -7 B. -3 C. 0 D. +3 E. +7 Homework Equations \oint \vec{E}\cdot d\vec{a}...

Homework Statement A cylindrical shell of radius 7.00 cm and length 24.0 cm has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0cm radially outward from its axis (measured from the midpoint of the shell) is 36.0 kN/C. Find (a) the...

Homework Statement Consider a solid conducting sphere with a radius 0.7 cm and charge −7.3 pC on it. There is a conducting spherical shell concentric to the sphere. The shell has an inner radius 2.8 cm(with 2.8 cm > 0.7 cm) and outer radius 5 cm and a net charge 27.9 pC on the shell. Denote...

How is it one can hear the sound of the ocean in some sea shells?

Homework Statement A very long insulating cylindrical shell of radius 6.90 cm carries charge of linear density 8.40 microC/m spread uniformly over its outer surface. Find the potential of a point located 4.4cm above the surface of the shellHomework Equations The Attempt at a Solution I used...

Homework Statement Suppose a point dipole is located at the centre of a grounded spherical conducting shell. Find the potential and electric field at points inside the shell. (Hint: Use zonal harmonics that are regular at the origin to satisfy the boundary conditions on the shell.)Homework...

Homework Statement Consider a conducting spherical shell with inner radius 0.8 m and outer radius 1.3 m. There is a net charge 3 μC on the shell. At its center, within the hollow cavity, there is a point charge 3 μC. Determine the flux through the spherical Gaussian surface S, which has a...

This is just a quick conceptual question. If you have a charge on the surface of a conductor, and the gaussian surface within that has a cavity containing a positive charge... and you move that charge off-center, does that affect the charge distribution on the surface of the conductor?

Homework Statement http://img244.imageshack.us/my.php?image=a1physicsmt8.png Homework Equations Gauss' Law The Attempt at a Solution It may be that I'm sick with a cold and can't think straight, but I"m not seeing any way to approach this problem using Gauss' law. I tried using a...

Homework Statement Hey guys. I've been trying to solve this question using Gauss law but I can't think of a surface that can contain this thing. Is there another way to solve this? Thanks a lot. Homework Equations The Attempt at a Solution

Homework Statement Hey guys. I got this question: "Calculate the electric field of half a spherical shell with radius R and uniform surface charge density \sigma along its axis of symmetry above the shell." I guess I shell use Gauss law, the thing is that the Gauss surface will not be...

Homework Statement Three thin (but finite thickness) concentric conducting shells have radii R1 < R2 < R3 and charges -2Q, +Q, and +3Q respectively, where Q is some positive number. What is the charge on the inner surface of the outmost shell? Homework Equations Charge on a conductor...

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Assume that there is a spherical dielectric inside spherical shell. There is a vacuum between the dielectric and the shell. I found this configuration rather tricky. Any idea ? http://img117.imageshack.us/img117/5901/conductorly3.th.jpg...

A nonconducting spherical shell of inner radius a=2.00 cm and outer radius b = 2.40 cm has (withing its thickness) a positive charge density p = A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q=45.0 fC is located at that...