Shell Definition and 784 Threads

I was wondering if anyone could help me with the following question, please: A thin walled pressure vessel is to be used as a pressure accumulator in a number of situations all involving a number of different operation conditions some of which create cyclic stresses. The dimentions of 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...

A particle of charge q is inside a nonconducting spherical shell of uniformly spread charge of Q. What is the flux through a spherical Gaussian surface concentric with the shell if the radius of this Gaussian surface is less than the shell's radius? I know we can use the formula for Gauss'...

Hello I have a local stress acting radial on a thin cylindrical plate (see illustration), how can I calculate if the plate will deform/bend? I can only find equations for uniform external pressure (Marcel Dekker), but will it be okay when the stress is only local?

Homework Statement A spherical shell with potential: V(r=R)=V_0cos\theta (a) Please solve the potential inside and outside the shell. (b) if there is a point charge at the center and the potential of the shell keeps the same, solve the potential inside and outside. Homework Equations...

A solid sphere of radius a = 3.00 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +4.33 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at a distance r = a/2...

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...

Homework Statement A cylindrical shell of radius 8.1 cm and length 247 cm has its charge density uniformly distributed on its surface. The electric field intensity at a point 20.3 cm radially outward from its axis (measured from the midpoint of the shell ) is 41800 N/C. Given: ke =8.99×10^9...

Homework Statement A very long insulating cylindrical shell of radius 6.00 cm carries charge of linear density 8.90*10^-6 C/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 4.70 above the surface...

.A very long insulating cylindrical shell of radius 6.00 cm carries charge of linear density 8.90*10^-6 C/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 4.70 above the surface. and What would a...

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 An infinitely long conducting cylindrical rod with a positive charge lambda per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of -2 \lambda and radius r_1, as shown in the figure. What is E(r)...

Homework Statement X=12(y^2-y^3) Rotation is around y=-2/5 Homework Equations V=2pi from the integral of a to b (shellradius)(shell height) dx The Attempt at a Solution 2pi (-2/5+y)(12)(y^2-Y^3)dy 24pi (-2/5+y)(y^2-y^3)dy 24pi (-2/5y^2+7/5y^3-y^4)dy 24pi...

A charge of uniform linear density 2.20 nano Coulombs per meter is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = .0600 m, outer radius = .104 m). The net charge on the shell is zero. a) What is the magnitude (in...

Hi, I have a couple of questions about the spin of an atomic nucleus. Say I had a carbon-12 nucleus, which is 6 protons and 6 neutrons. The Pauli exclusion principle tells us that these should be arranged in shells determined by their orbital angular momenta and spins. So, the shell...

Hi Everyone I am having a trouble setting up an equation: I am to find the volume by integrating the equation y = 4-e^x from 0 to 3 and rotate it about the axis of x = 10. Here is what I have: the equation y= 4-e^x in terms of x is x = ln(4-y) R(y) = 10 r(y) = ln(4-y) the...

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)...

Im new to finding volume using the cylindicral shell method so what should i do. I know I will eventually plug equations into the integral 2piX(f(x)-g(x))dx x=y x+2y=3 and y=0 revolve about the x axis

In a question there are two conducting shells of radii a and b (a<b),the outer shell is given a charge Q . And the inner shell is grounded then the potential of that shell was equated to zero and its charge was assumed q. And it resulted in an equation KQ/b + Kq/a = 0 this gave q = -(a/b)Q...

Hi, Anyone knows how to place the DERESONATING BAFFLES in a Shell and Tube heat Exchanger? How does it look likes?

Homework Statement The ground state of _{6}Cl^{13} has spin-parity 1/2- and the next three excited states have values of 1/2+, 3/2- and 5/2+. Explain these values in terms of the shell model.The Attempt at a Solution The problem is that i don't know what is being asked of me...i initially...

Not a homework question: A spherical conducting shell of inner radius a and outer radius b carries a total charge of +Q distributed on the surface of a conducting shell. http://ocw.mit.edu/OcwWeb/Physics/8-02Electricity-and-MagnetismSpring2002/VideoAndCaptions/detail/embed03.htm If...

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 Have to find the volume using the shell method using the given curves x=3y-y^2 and the y-axis about the x-axis Homework Equations I know to use the equation V=2pi Integral y f(y) dy but no idea where to get the high and low limits for the integral The Attempt...

Homework Statement http://img688.imageshack.us/img688/5277/loopb.jpg A cylindrical shell is released from rest and rolls down an incline without slipping. Find speed of shell at the top of the loop. h(incline) = 2.0m h(loop) = 1.3m The Attempt at a Solution vf = sqrt(g * yi)...

*SOLVED* Homework Statement A 75 kg shell is fired with an initial speed of at an angle 55 degrees above horizontal. Air resistance is negligible. At its highest point, the shell explodes into two fragments, one four times more massive than the other. The heavier fragment lands directly...

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...

Homework Statement A cylindrical shell of radius 7.00 cm and length 240 cm has it's charge uniformly distributed on it's 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 net...

(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 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...

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...

A non-conducting, spherical shell centered at the origin has radius r1 and total charge -Q, where Q is a positive value. (DO NOT ASSUME THE POTENTIAL AT INFINTIY IS ZERO!) http://i662.photobucket.com/albums/uu347/TwinGemini14/ELECpotential.gif 1) The electric potential just outside the...

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...