Shell Definition and 750 Threads

Spherically symmetric infinitesimally thin shells can be described via the well known junction formalism of Israel. Let us consider such shell in vacuum, this means that on both sides of the shell we have Schwarzschild spacetimes. One of the dynamical equations is the first component of the...

Hi everybody, The framework of infitesimally thin shells is the well known Israel junction formalism. Let us suppose motion of a thin in Schwarzschild spacetime. I mean both side of the shell is desribed by Schwarzschild metric. Let us suppose that the shell consists non-massless...

Spherically symmetric infinitesimally thin shells can be described via the well known junction formalism of Israel. The equation of motion of thin shells is (G=c=1): (dr/dtau)^2 = (mg/mr)^2 - 1 + (2mc+mg)/r + (mr/2r)^2 This is an energy balance equation, where r is the...

Shell Side Fluid Velocity of Baffled HX & Re -- Nobody knows last resort Problem: I need to know how to calculate the shell side fluid velocity for a Shell&Tube HX with *Baffles*. Also, the reynolds number for this flow Known: ms -Mass flow on shell side Nt -Number of tubes Lt -Length of...

hello guyz i have some questions about shell and tube exchangers 1- what's the difference between shell and tube exchanger over the plate exchanger ?? 2- what's the data required for selecting heat exchanger ?? 3- if i will replace the shell and tube with a plate exchanger what's the...

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...

I am trying to explain nuclear energy levels in terms of Shell model and I hope that you guys would assist me through this- 1. The potential which exists inside the nucleus is assumed to be harmonic oscillator potential and it's value is obviously given by V(r)=\frac{1}{2}m\omega ^2r^2 However...

I've been philosophing about Newtons shell theorem, which tell us that inside a symmetrical sphere, gravity is zero if the sphere is hollow, and linearly declining while moving closer to the center if the sphere is massive and of constant density. Now, if the sphere was hollow it would...

Homework Statement How do 5 protons fill a g9/2 shell in the shell model? There are 10 spots in the g9/2 shell. Homework Equations The Attempt at a Solution Pauli principle dictates the first four to be in anti-parallel pairs. But the last can be either up or down. Am I missing...

i am having trouble with finding inductance and capacitance of a cylindrical shell with gap. say inner radius is a, outer radius is b, and filling dielectric between a and b, and its not a exact circle which have a small gap say d. its like a split ring but only one shell. How can i...

Last week there was a documentary program on Nat Geo I believe having to do with the composition and origins of comets. The narrative seemed to imply that comets originate within & are rather randomly dislodged from a spherical shell around the Solar System called the Oort cloud. This...

Homework Statement http://img685.imageshack.us/img685/9501/10953060.png" Homework Equations The Attempt at a Solution I know you use Gauss' Law, but why wouldn't the charges outside of the shell induce a charge on the shell, which would then affect the field at P?

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...

Hello. I am preparing for the AP Physics C E&M exam, and I am trying to understand the solution to 2004-1 The problem provides an infinite line of uniform charge per unit length enclosed within an infinite hollow conducting cylinder with a fixed radius and no net charge. The line of charge...

I have seen the derivation for the formula: h2(pi)rdr used in math textbooks. However, earlier today I had a physics problem where I needed to use the volume of a cylindrical shell of inner radius r and outer radius dr+r and length h. without remembering the formula I tried to derive it...

Hello; I couldn't find the answer to this anywhere, so I thought that I might ask here instead. What are the electron shell capacities for any given element? I think that any elements that are arranged in GROUPS have electron capacities that follow the pattern; 2,8,8,18,18,32,32... is this...

How does this clean your engine's valves, like the commercials show? Wouldn't it just increase the cars NOx emissions? Thanks

Homework Statement Єr = 3.0, atomic density = 1028 atoms/m3. The mag. of the E-field is 10,000 [V/m]. Two electrons in outer orbital shell will distort with an applied E-field. If both both electrons follow some orbital path as a pair, find spacing between center of nucleus and average...

before i start i wanted to make it clear that this is NOT homework. its just a quick question which puzzled me and my friend In the shell model of the nucleus. i found a statement that said that since both neutrons and protons are fermions, there are restricted to 2 of each at each energy...

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...

Is the space between the electron shell and nucleus a perfect vacuum?

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...

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)...

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...