Spherical shell Definition and 213 Threads

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...

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

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...

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...

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...

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...

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=...

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...

Say we have a spherical shell of outer radius b and inner radius a. The shell has a total charge +3q and at it's center is a point charge of charge -q. I know that the E field for r>b would simply be: E = (3q-q)/(4πr^2ε0) and thus the electric potential inside the shell must be the same as the...

Homework Statement A top half of a spherical shell has radius R and uniform charge density sigma. Find the potential difference V(b)-V(a) between point b at the north pole, and point a at the center of the sphere. Homework Equations The Attempt at a Solution \oint E ds =...

Homework Statement The potential inside a spherical shell is given by: V_{-}(x,y,z)= \frac{V_0}{R^2}(6z^2-3x^2-3y^2) P_n(\cos(\theta )) where \theta is the polar angle. The potential on the surface carries a surface charge density \sigma. Besides this, ther's no other charges and no outher...

Hi Guys, Suppose we have a spherical shell with charge density on the surface \sigma and radius R. The potential inside the shell is given by: V_(x,y,z) = \frac{V0}{R^{2}}(6z^2+ax^2+by^2) It is assumed, that the potential is rotational symmetric around the z-axis inside and outside the...

Homework Statement A conducting spherical shell that has zero net charge has an inner radius R1 and an outer radius R2. A postive point charge q is placed at the center of the cell. The 1st part was to find the electric fields at the 3 diff places. The part I need help on is where we have to...

So there are two concentric conducting spherical shells one with radius R and another 2R with charge +Q and +2Q respectively... Now the two are connected by a conducting wire. Why does the entire charge flow to the outer shell? Please clarify my doubts. I will be grateful.

So I've been trying to derive the moment of inertia equation for a thin spherical shell and I've slammed into a dead end algebraically. I was able to derive an equation for a hollow sphere: I = (2/5) M (Ro^5 - Ri^5)/(Ro^3 - Ri^3) where Ro is the distance to the very outside of the sphere...

Homework Statement A -5-nC point charge is located at the center of a conducting spherical shell. The shell has an inner radius of 2 m, an outer radius of 4 m, and a charge of +7 nC. (Let the radially outward direction be positive.) (a) What is the electric field at r = 1 m? (Indicate the...

Hi I was trying to do one problem from Griffiths's EM book. The problem says to find the magnetic force of attraction between the northern and southern hemispheres of a spinning charged spherical shell. There was an earlier problem in the book to find the electric force of attraction...

I've read many times now that the electric field inside a spherical shell is zero and all explanations of that fact have been based on imo false interpretation of the gauss law. The law itself says no such thing, atleast not explicitly. It merely says that the flux is zero. The only thing i can...

Homework Statement A hollow spherical iron shell floats almost completely submerged in water. The outer diameter is 66.0 cm, and the density of iron is 7.87 g/cm3. Find the inner diameter. Homework Equations Fb=MG 4/3pir^3=Vsphere The Attempt at a Solution Not sure where to...

Homework Statement This is a two part problem: 3- A conducting spherical shell of radius 19 cm carries a net charge of −8.15 μC uniformly distributed on its surface. Find the electric field at points just outside the shell. (Take the radially outward direction to be positive.) Answer in...

Homework Statement What is the electric field if r=a and r=b? Reference:http://www.youtube.com/watch?v=BcuQ2c_WrMc" 2:11 And what if the net charge is just -Q on the conductor instead of -3Q? Will the electric field at r>b be 0? Reference: Same video, 3:00-3:10 Homework Equations...

Homework Statement The inner radius of a spherical shell is 13.6 cm, and the outer radius is 15.8 cm. The shell carries a charge of 1.65 × 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 A right solid conducting cylinder has a total charge of +5.10 mC. Inside the cylinder a charge q = -1.55 mC rests at the center of a hollow sphere as shown in the diagram below. What is the charge on the surface of the hollow sphere? Homework Equations The Attempt at a...

Homework Statement A point charge +Q is surrounded by a spherical shell of inner radius a and outer radius b. The spherical shell has charge density \alphar. a) What is the electric field for r < a? b) What is the electric field for a < r < b? c) What is the electric field for r > b? d)...

Homework Statement An isolated, thin, rigid, spherical shell has mass M and radius R. If the shell is set slowly spinning with angular momentum J, show that inertial frames within the shell rotate at angular velocity w with respect to an observer at rest at infinity, where: w=2GJ/(c^2*R^3)...

Homework Statement A spherical shell of inner radius a and outer radius b contains a uniform charge density ρ of total charge Q. (a) Find ρ (b) find the electric field for r< a, a< r< b, b< r sketch it Homework Equations E = kQ/r2 V=4πr3 The Attempt at a Solution ρ π...

Hi, I received this question on my exam today and it stumped me... Conducting spherical shell of inner radius 0.045m and outer radius 0.18m, which has a net charge of zero. A charge Q of 5.5x10-5 is placed at the center, find the electric fields at point A (0.03m), point B (0.06m), and...

1. Find the electric potential inside and outside a uniformly charged sphere of radius R, and whose total charge is q. Use infinity as your reference point. Compute the gradient of V in each region and check that it yields the correct field. Sketch V(r). 2. I used the theorem that electric...

Homework Statement Calculate the electric field, E, for general points inside a shell which has a radius R. It also has a uniform surface charge density, σ. First, do it with Gauss’s Law. Then find E more directly. Hint: Use Law of Cosines and a substitution. Homework Equations...

Homework Statement Moment of inertia of spherical shell of radius R, mass M along its rotation axis is given by \frac{2}{3}MR^{2} I am trying to calculate thisHomework Equations The Attempt at a Solution This is my attempt but is unsuccessful, since the spherical shell is an assembly of rings...

Let's suppose that we have two point particles with masses m1,m2 and the spherical shell with mass M, placed in a line, at distances h1,h2 and H from 0 in that line (0 is the center of some inertial frame of reference). The initial conditions and the equations of motion are the following...

Let's suppose that we have two point particles with masses m1,m2 and the spherical shell with mass M, placed in a line, at distances h1,h2 and H from 0 in that line (0 is the center of some inertial frame of reference). The initial conditions and the equations of motion are the following...

Homework Statement An uncharged hollow conducting spherical shell with inner and outer radii a,b respectively is placed into otherwise uniform electric field E. Calculate the induced charge density at a and b and electric field everywhere Solution for E ,r>b E = E_0...

Suppose a solid insulating sphere of radius a carries a net positive charge uniformly distributed throughout its volume. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere. Determine the induced charge per unit area on the outer surface of the...

Homework Statement I have a question about an upper-division E&M HW problem I'm stuck on. Any help would be GREATLY APPRECIATED! Problem Statement: An insulating spherical shell of radius R was set up to have a potential on its surface of V=A*cos^2(theta), where A is a constant...

spherical shell rolls down a ramp with friction--time? Homework Statement A 120 g basketball has a 25.7 cm diameter and may be approximated as a thin spherical shell. Starting from rest, how long will it take a basketball to roll without slipping 6.29 m down an incline that makes an angle of...

Homework Statement I have a simple question. There is positive point charge in the center of a sphere 2.5 micro c. The spherical shell has inner radius of 60 cm and outer radius of 90 cm. The net charge of the spherical shell is equal to zero. Homework Equations The...

A uniformly charged spherical shell with surface charge density \sigma contains a circular hole in its surface. the radius of the hole is small compared with the radius of the sphere. what is the electric field at the center of the hole? I only know this question requires superposition of the...

Homework Statement A spherical shell of radius 4 m is placed in a uniform electric field with magnitude 7020 N/C. Determine the total electric flux through the shell. Answer in units of N · m^2/C. Homework Equations Gauss's Law The Attempt at a Solution I thought this would be as simple as...

An insulating spherical shell with inner radius 25.0 \rm cm and outer radius 60.0 \rm cm carries a charge of + 150.0 \mu {\rm C} uniformly distributed over its outer surface. Point a is at the center of the shell, point b is on the inner surface and point c is on the outer surface. What will...

Homework Statement Basically just to find moment of inertia of a spherical shell Homework Equations Moment of Inertia = Int(r^2 dm) The Attempt at a Solution I am in 12th grade and don't know much about integrals? Did I get lucky or am I right? I = Int(r^2dM) dM= (phi)(dA)...

Homework Statement First part of the problem was to work out E-field of uniformly charged spherical shell with charge Q and Radius R. This was fine : E = 0 for r<R and E = Q/(4*Pi*eps*r2) for r>R QUESTION: Find the pressure exerted on the shell due to the charges on its...

Homework Statement I'm considering an expanding spherical shell of gas in the thin shell approximation, in which all of the mass can be considered to be at radius R. This shell encloses a bubble that has been blown out (by a supernova or something) and is expanding into the ambient...

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 f the Sun's atmosphere increased in temperature with radius at and above the photosphere, how would our observation of the solar spectrum be different? b) Consider a spherical hollow shell of gas around a star. If you observe this shell to produce a bright ring around the...

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...