Shell Definition and 750 Threads

Homework Statement A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a...

I don't need the answers or the problems worked out I'm asking something more basic. This is just an example problem. y=\sqrt(x),y=0, x=3 a) Around the x-axis R(x)=\sqrt{x}, r(x)=0 I understand the R to be the value fathers from the x-axis, and the r value to be the closer one to the...

Y=x^(2/3) and y=x^2 rotated about the x=4. First I equate the equations giving me x=0,-1,1. The problem is I have exactly 2 graphs that are symmetric in respect to the y axis. N I have not encountered a problem in stewart dealing with this. I know that the volume on the right side of the...

Homework Statement There is a Uniformly charged Non conducting Spherical shell along with a point charge external to the shell . they make up an isolated system . Find the electric field inside the shell . Homework Equations The Attempt at a Solution Actually using superposition...

As we know there are charge on spherical shell then electrical field inside the shell will be zero. 1) If there is no charge on the spherical shell, but has charge inside the shell then what is the electric field inside and outside the shell? 2) If there is charge on the spherical shell...

Homework Statement A conducting sphere of radius R has a charge Q. A particle carrying a charge q is placed a distance 2R from the sphere. Find the potential at point A located a distance R/2 from the center of the sphere on the line connecting the center of the sphere and particle q. Note...

If a spherical conducting shell is kept in an electric field (say, from a point charge kept at some distance outside the shell), will any charge be induced in the internal surface of the shell? Also what will the field be like inside the shell? Thanks.

Homework Statement A conducting spherical shell has inner radius a, outer radius b, and has a +Q point charge at the center. A charge of -Q is put on the conductor. a) What is the charge on the inner and outer surface of the shell? b) What is the electric field everywhere? c) What...

Wrote my question up in Latex Update: I have corrected the mistake when I stated the "textbook" version of the equation that the problem requires to be used. I have reposted the pdf with the same name.

Homework Statement Predict the ground state spin and parity for ^{7}_{3}Li, ^{15}_{7}N. ^{31}_{15}P. Homework Equations Fill up shells for neutrons and protons separately. Shells in increasing energy are: 1S_{1/2}, 1P_{3/2}, 1P_{1/2}, 1S_{1/2}, 1D_{5/2}, 1D_{3/2} and have...

The question is: a conducting spherical shell of radius a rotates about the z axis with angular velocity ω, in a uniform magnetic field B= B_{0}\hat{z} . Find an expression for the EMF developed between: i) the north pole and the equator (2 marks); ii) the north pole and the south pole (1...

I have a problem reconciling something. According to Newton's shell theorem, at any point within a solid sphere, for the purposes of calculating the gravitational force exerted on you, the mass that is outside your own radius to the center can be ignored since it cancels out, and the net force...

Hello, I have an issue regarding the analysis of multilayer shell with same material. The multilayer structure to be analyzed consists of a hollow cylinder with some thickness and sheet metal is to be rolled around it. A simple cross-section demonstration: _______________________...

Homework Statement Q . Is the electric field zero inside a uniformly charged non conducting shell in the presence of an external charge ? Homework Equations The Attempt at a Solution If the external charge had not been there ,then I am sure that the electric field inside at any point within...

Why isn't the Orbital angular momentum quantum number in the nuclear shell model restricted by the principal quantum number like it is in the atomic shell model? Also, does the principal quantum number even correspond to energy in the shell model?

Homework Statement A metal sphere with radius a is supported on an insulating stand at the center of a hollow, metal spherical shell with radius b. There is charge +Q on the inner sphere and charge -Q on the outer shell. Take the potential V to be zero at infinite separation. Calculate...

Homework Statement A conducting metal ball of radius 2m with a charge of 3μC is surrounded by a concentric spherical shell of inner radius 4m and outer radius of 5m with a total charge of 4μC. Determine the electric potential in volts between the ball and shell at a radius of 3m...

Here is the question: I have posted a link there to this thread so the OP can view my work.

Homework Statement A conducting spherical shell is divided into upper and lower halves with a narrow insulating ring between them. The top half is at 10V and the bottom half is at -10V. Write down the appropriate expansion for Φ and use symmetry and the expected behavior at the origin to...

Homework Statement An infinite line of charge with linear density λ1 = 6.2 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.7 cm and outer radius b = 4.4 cm. The insulating shell is uniformly charged with a volume density of ρ = -552 μC/m3.1) What is λ2, the...

Homework Statement A spherical metal shell has charge per unit area sigma and radius R. What is the magnitude of the electric field at a distance x from the surface of the sphere? You may include only these variables in your formula: sigma, R, epsilon_0, x Homework Equations...

My class hasn't delved into Gauss's Law much besides describing conductors at electrostatic equilibrium to have no net electric field or force within itself. For the picture, the question is: What are the magnitudes of the electric fields at: 1) r = a 2) r = 3/2 a 3) r = b...

Homework Statement Consider a spherical shell with inner radius r1=0.30 m and outer radius r2=1.00 m. The hollow inside the shell contains no charge; and charge is distributed on the inside surface of the shell and within the shell itself, such that the electrical field inside the shell itself...

Homework Statement An insulating hollow spherical shell of radius R has a small hole on it .The shell has a charge Q uniformly distributed over it. What is the electric field strength at the center of this hole? Homework Equations The Attempt at a Solution If the hole weren't...

Just a quick general question in applying Gauss's law. Not exactly homework, more a general question so I can understand my other homeworks better. I have a spherical shell with inner radius R_1 and outer radius R_2 and a point charge Q in its center. It is NOT a conducting sphere. In the...

I am currently performing an acceptance test for a newly installed gas fired shell boiler. I am following the British Standard "BS EN 12953-11:2003". I have encountered a problem with equation (8.5-2) found on page 16 of the document described above. This problem being that a value of...

This might be more of a notational issue, I am working on this problem and just trying to figure out what my prof/ TA did in the solution sheet -- but also to make sure I understand what I am doing. Homework Statement Given a spherical shell of radius R and surface density σ, and a...

In my book it is written that Newton's shell theorem can be used to show that a uniform shell of matter exerts no net gravitational force on a particle located inside it. How?

I have a tortoise shell sitting in two parts on my desk (the top and the bottom). I somehow got it in my head that it would be fun to use it as an enclosure for a robot, and I need to know its mass when I choose motors for it. Now, I don't have any precise mass-measurement tools - all I have is...

In various other threads we have been kicking around various equations for a spherical shell and discussing the implications. In this thread I would like to present what (I think) I have worked out about how the shell metric relates to the vacuum metric inside and outside the shell. I hope to...

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...

Hey. There's one thing I've always been wondering about when it comes to deriving the expression for the moment of inertia of a spherical shell. Namely, why is the length of the infinitesimal cylinder used in the derivations (like here ) equal to ##R d \theta##, instead of ##R d \theta...

In chapter 5, magnetostatics, of Griffiths' Introduction to Electrodynamics (third edition), there's a problem in the back of the chapter that asks you to calculate the force of attraction between the northern and southern hemispheres of a spinning charged spherical shell. The problem in its...

Hi Just a quick question that I have been wondering about ... how do nucleons fill energy levels, and what is the maximum number of nucleons that can occupy each level? The given pattern is: 1s, 1p, 1d, 2s, 1f, 2p, 1g, etc I can see no obvious pattern here. Can anyone explain? I...

Greetings, If we have a function y=f(x), we can calculate the surface area traced by that function when rotating about the x-axis as 1: S=∫dx\,2πf(x), which makes perfect sense to me. I am told that, if we have x=x(t) and y=y(t), the equivalent expression is 2...

Homework Statement A hollow conducting spherical shell has radii of .80m and 1.20m. The sphere carries a net charge of -500 nC. A stationary point charge of +300 nC is present at the center origin. Calculate the electric field at points: a) 0.30m b) 1.00m c) 1.50m I have attached the image...

Homework Statement A point charge q is at the center of a spherical conducting shell of inner radius a and outer radius b. How much work would it take to remove the charge out to infinity? Homework Equations Potential, W = 1/2qV The Attempt at a Solution I am going at this in...

Homework Statement http://imageshack.us/photo/my-images/543/15jd.jpg/ [IMG=[PLAIN]http://img543.imageshack.us/img543/8674/15jd.jpg][/PLAIN] Homework Equations Qnet outside sphere = Q1+Q2 KEi + PEi = KEf + PEf q = 1.6E-19 mass of q = 1.672E-27 The Attempt at a Solution +(q ∫ KQ1 / R^2 ]...

Homework Statement (From Physics for Scientists and Engineers, 7E, Serway-Jewett Chapter 25 Q11) (i) A metallic sphere A of radius 1 cm is several centimeters away from a metallic spherical shell B of radius 2 cm. Charge 450 nC is placed on A, with no charge on B or anywhere nearby. Next...

Imagine all the mass of the Earth is in a shell of a thickness of R(earth)/2. So if the object is inside the shell or outside the shell, I know I can apply the shell theorem to solve the gravitational force acting on it. But, what if the object is IN the shell, in another words...

I've been looking into this relatively simple problem out of curiosity and I have to say I've thoroughly confused myself, hopefully someone can provide some insight: Imagine you have a massless (for simplicity) spherical shell with some overall charge on it that starts at a radius of...

So i can see by symmetry arguments why The electric field inside a uniformly charged spherical shell would be zero inside. But what about a non uniformly charged spherical shell. Say most of the charge is located on one side, why is the electric field still zero? I can see that the flux...

A spherical shell and a conducting sphere each of radius R are charged to maximum potential. Which of the two has more charge? My attempt: Since in a conductor, no charge can reside inside the conductor so all charge is on the surface of the conductor just like the spherical shell. Now ...

Homework Statement Metal sphere of radius R1 is surrounded by a concentric metal shell of inner radius R2 and outer radius R3. The dielectric is air. Calculate coefficients of capacitance for the given setup. Homework Equations Picture of the problem: The Attempt at a Solution...

Are electrons in the, say lowest energy level, shell, of an atom, always entangled? i.e. Do electrons (in a shell) have to be necessarily entangled? Is there any maths (law of conservation of spin/momentum etc) that says so? Any relation with Pauli's exclusion principle?

I have been going over previous tests in an attempt to better prepare myself for the final that is coming tomorrow. I was posed a question. Use the shell method to find the volume of the solid generated by revolving the plane region about the given line. $$y = 4x - x^2$$ , y = 0, about the...

Homework Statement Consider two concentric spherical metal shells of radii 2m and 4m, situated in free space and carrying uniform surface charge densities of 20nC/m2 and 5nC/m2 respectively. Find the capacitance C=Q/ΔV of the spherical capacitor formed by the shells. Here Q is the total...

can someone please provide me with a proof or even just an intuitive explanation

Homework Statement Consider a thick metal shell with inner radius a = 2cm and b = 4cm. The shell carries no net charge. A point charge of q = 3nC is placed at the centre of the shell. Find the total charged induced on the inner boundary of the shell. Find the total charge induced on the outer...

ITS NOT A HOMEWORK PROBLEM PROBLEM::- THINK OF A CYLINDRICAL SHELL WITH NUMEROUS SPHERICAL HOLES ALL AROUND IT. (FOR EG. http://sell.lulusoso.com/upload/20120317/Underground_Water_Pipe.jpg) HOW TO FIND VOLUME & SURFACE AREA OF SUCH A CYLINDRICAL SHELL. (A GENERALIZED CASE FOR N HOLES AROUND...