Spherical shell Definition and 203 Threads

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...

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?

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...

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...

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...

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...

Express the current density of a spherical shell of radius a, rotating with angular velocity omega, with surface charge density sigma Delta function will be denoted d(x). Spherical coordinates will be used I have concluded that for a given chunk (if we restrict to the 0<theta<pi/2...

1. A thin spherical shell of radius a has a total charge Q distributed uniformly over its surface. Find the electric field at points outside the shell and inside the shell 2. \intE dA = Q/\epsilon 3. THis is an example in my textbook, and it claims that: The calculation for...

Homework Statement Electric Charge is distributed over a thin spherical shell with a density which varies in proportion to the value of a single function P_l(cos \theta) at any point on the shell. Show, by using the expansions (2.26) and (2.27) and the orthongonality relations for the...

A grounded & conducting spherical shell of outer radius M and inner radius N has a point charge Q inside the shell at a distance r<M from center. Using method of images, find the potential inside the sphere. Could I just use the superposition of charge and point charge? \phi(r) =...

[solved] Potential inside (and outside) a charged spherical shell Homework Statement Use the integral (i) to determine the potential V(x) both inside and outside a uniformly charge spherical surface, with total charge Q and radius R. Homework Equations (i) V(\vec{x}) =...

hey, i have a question from an exam paper which isn't worded too nicely (most of the questions on the exam are worded in similar ways ) The way I've done it is to first put in my first shell of infintesimal charge and then treat it as a point charge. Then i treat the next shell as just a point...

How do I solve for the temperature at a certain time for conduction through a spherical shell? I have a shell 5 cm thick with a radius of 0.5m. I am starting with Q=KA(T2-T1)/L and I am completely lost as to where to go with it. Thanks!

Homework Statement An insulated spherical shell with its center in the origin and radius R has a surface charge density of \sigma(\theta)=\sigma_0\sin(\theta) when \theta is the angle from the z axis. Calculate the electrical field outside the shell at point z=R. Homework Equations...

Question: I have a thick spherical shell (inner radius a and outer b) with charge density = kr^2. I need to find the field and potential at all points in space and calculate the energy. Is it possible to take the equation for the electric field of a solid sphere, and integrate from a to b? Or...

Hello everybody, this is my first post here. I need help with a task in General Relativity. ------- Given we have a spherical shell in 2-space of radius \rho. With the line element: ds^{2} = g_{ab} dx^{a}dx^{b} = \rho d \theta^{2} + \rho^2 sin^2(\theta) d \phi^2 (a,b \in 1,2) Then...

Homework Statement Figure 16.69 A thin spherical shell made of plastic carries a uniformly distributed negative charge -7e-10 coulombs (indicated as -Q1 in the diagram). Two large thin disks made of glass carry uniformly distributed positive and negative charges 1.7e-05 coulombs and...

Can anyone help me how to calculate the moment of inertia of a thin spherical shell? Thank you

Homework Statement An insulator in the shape of a spherical shell is shown. The insulator is defined by an inner radius a = 4 cm and an outer radius b = 6 cm and carries a total charge of Q = +9 microC. You may assume that the charge is distributed uniformly throughout the volume of the...

What is the potential energy of a uniformly charged spherical shell; i think it is called the self energy of shell.

A hollow spherical shell with mass 2.10 rolls without slipping down a slope that makes an angle of 34.0 with the horizontal. Find the magnitude of the acceleration of the center of mass of the spherical shell. I understood that the friction force is normal to the slope and there is a...

Homework Statement Show that the moment of inertia of a uniform thin spherical shell of mass m and radius a about a diameter is 2/3 ma^2 Homework Equations Moment of inertia = Sum m x R^2 volume of sphere = 4/3 pi r^3 The Attempt at a Solution I think i have to integrate the...

A half spherical shell as seen in the picture. http://img219.imageshack.us/img219/3424/picnw3.th.jpg charged with surface density \sigma(\theta)=\sigma_{0}cos\theta Need to find the Electric field in center of the axis. As I see the direction of the electric field is the Z axis...

An insulating spherical shell of the external radius b and the internal radius a is charged uniformly with volume charge density p. What force F does it produce on a uniformly charged thin rod, as shown in figure2? Rod's total charge is Q and length 2a. The rod is arranged radially from the...

For the configuration shown in the figure below, suppose that a = 5.60 cm, b = 19.8 cm, and c = 27.9 cm. Furthermore, suppose that the electric field at a point 13.7 cm from the center is 3.44 x 10^3 N/C radially inward, while the electric field at a point 47.0 cm from the center is...

Homework Statement I'm well aware of how to compute the gravitational [electric] potential \Phi due to a spherical mass [charge] distribution of radius R by using Newton's theorems for spherical shells. However, how does one find an analytic expression for \Phi without invoking these theorems...

1) A shperical sheel has inner radius R_in and outer radius R_out. The shell contains total charge Q, uniformly distributed. The interior of the shell is empty of matter and charge. Find the electric field for (a)r>R_out, (b)r<R_in, and (c)R_in<r<R_out respectively. Then sketch a graph of E...

Homework Statement A solid conducting sphere of radius 2.00 cm has a charge 6.70 µC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a charge -3.50 µC. Find the electric field at the folowing radii from the center of...

Homework Statement Consider a thin spherical shell having surface charge density σ, and radius a as shown in the diagram (see attachment). Find, by integration over the sphere, the potential at a point P, a distance r fromthe centre of the sphere, for r > a. Using this result also find...

Homework Statement spherical shell with inner and outer radii a and b, and with temperatures of the inner and outer surfaces T_2 and T_1, the thermal conductivity of the shell is k, derive an equation for the total heat current through the shell Homework Equations...

Griffith's EM problem 3.28 A spherical shell of radius R has a surface charge \sigma = k \cos \theta a) Calculate the dipole moment of this charge distribution. i know that p = r' \sigma(r') da' but here sigma depends on theta would the dipole moment p then turn into p = \theta'...

A hollow spherical shell carries a charge density \rho = \frac{k}{r^2} in the region a<= r <= b. As in the figure Find the elctric field in these three regions i) r <a ii) a<r<b iii) r>b SOlution: for r<a it simple.. no exclosed charge for any gaussian sphere within that region...

A charge punctiform of Q= 12*10\exp-6 C is in the center of a spherical shell conductor charged negatively Q1= 6*10\exp-6 C, and of internal radius = 22 cm ad external=26 cm. Calculate the electric field and potential.

Gauss' law---thin spherical shell INTRODUCTION- hello, actually i had been doing some problems on gauss' law from H.C.Verma "concepts of physics". I'm continuously having problem with "wht's the field on the surface of a thin spherical, conducting shell? THE EXACT PROBLEM IS- "Consider the...

In fact, This is a question I caucalated in HW. But I still dun understand the answer. Any have the idea about this question? The problem is in this link http://web.mit.edu/8.07/www/probsets/PS6s.pdf The problem No.2

The question is: A conducting spherical shell of inner radius b and outer radius c is concentric with a small metal sphere of radius a < b. The metal sphere has a positive charge Q. The total charge on the conducting spherical shell is –Q. What is the potential of the metal sphere? I...

1] A square loop of wire, with sides of length 'a' lies in the first quadrant of the xy-plane, with one corner at the origin. In this region there is a non-uniform time-dependent magnetic field \vec B (y,t) = ky^3t^2\hat z. Find the induced emf in the loop.I applied the flux rule here...

I need to know the area of the intersection between a sperical shell and a plane in spherical coordinates. By "shell" I mean a sphere with some differential thickness dR. Basically, I know that the intersection of a sphere and a plane is a circle. But I want to consider this sphere having...

the problem is: "Calculate the work that must be done to charge a spherical shell of radius R and total charge Q", and I have no idea where to start. You probably have to write some sort of an integral but I don't know how. Can anyone give me a hint?

Hi guys! I have been working on this question all day and am getting no where :cry: I really can't get to grips with Electromagnetism, arghh! The question is :http://www.zen96175.zen.co.uk/problem.GIF I would NOT like anyone to post a solution as its assessed work but I would IMMENSELY...

Hi i have to give a presentation on an example of the defining equation for the moment of inertia of a thin spherical shell. I have to follow the example in my book "elements of Newtonian mechanics". I get most of it but there are a couple steps that the book skips that i cannot. I was...

Ok if you have a spherical shell of radius R with an even distribution of charge then outside the shell at a distance r where r>R I get that the shell can be treated as a point charge and inside the sphere (r<R) the electric potential will be constant. All my notes cover when the shell has no...

A small, insulating, spherical shell with inner radius a and outer radius b is concentric with a larger insulating spherical shell with inner radius c and outer radius d. The inner shell has total charge +q distributed uniformly over its volume, and the outer shell has charge -q distributed...

A spherical shell has inner radii a and outer radii b. The temperatures at the inner and outer surfaces are T2 and T1. The thermal conductivity of the shell material is k. I have to derive an equation for the total heat current through the shell. The equation for heat current through a rod...

I am beyond lost with the question, so any help would be greatly appreciated. Consider a solid, rigid spherical shell with a thickness of 100 m and a density of 3900 kg/m^3. The sphere is centered around the sun so that its inner surface is at a distance of 1.5×1011 m from the center of the...

I am having a problem understanding this problem which references this exercise . I tried it a couple different ways. I used \begin{multline*} \Delta U(Potential Energy) = Uf - Ui = Uf - U(r = infinity) = Uf - 0 \\ dU = Uf = -W = \int F * ds = \int E * Q * ds \\ Uf = -\int E * Q * dr =...

I can frankly say I'm totally confused on how to solve this problem. Here it is: A think spherical shell of charge Q and uniform volume charge density p is bounded by radii r1 and r1 where r2>r1. WIth V=0 at infinity find the electric potential V as a function of the distance from the centre...