Shell Definition and 784 Threads

Homework Statement A square plate of edge length L = 1 m, thickness t = 5 cm, is fixed on two edges. The other two edges are free. A load of F = 10 kN is applied at the corner opposite that where the fixed edges intersect. Use shell elements to compute the deflection at the loaded corner...

Gauss' shell theorem states that if given a spherical shell of charge such that the charge is uniformly distributed on the surface, the net electric field anywhere inside the sphere is zero. But I'm wondering (and turns out this was on a past exam), what happens if the charge is not uniformly...

I have a question about https://www.amazon.com/dp/B002RS5IKA/?tag=pfamazon01-20 product. It is an autosampler shell vial with a polyethylene plug style needle closure. Does anyone know whether the plug on this vial will be resealable? In other words, will it be able to withstand multiple...

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...

Homework Statement A helium atom had two electrons in the first shell (1s). Explain, withour detailed derivation, what the value of the total spin quantum number is. Homework Equations ? The Attempt at a Solution Since the 2 electrons are in the first (1s) shell they must have...

One of my 'course aims' is to be able to classify the shell model energy levels in terms of quantum numbers l and n and explain how magic numbers arise. I'm using this to help to understand it as well as lecture notes. http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/shell.html I know...

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...

Question) A solid is formed by revolving the area inside x^(2/3)+y^(2/3)=a^(2/3), a>0; to the right of x=0 and above y=0 about the line x=a. Find the Volume of the solid using; A) The washer Method B) Cylindrical Shell Method I am at a loss at how to set up this problem...I understand how to do...

Homework Statement An artillery shell of mass 10 kg is launched due east at 3,000 ft/sec at an angle of 30 degrees above the horizontal. It explodes 5 seconds later, and splits into 2 pieces - one of mass m1 3 kg and the other m2 of mass 7 kg. Neglect air resistance. The 3 kg piece lands...

Homework Statement Okay I'm really scratching my brain out here, I've done this a thousand times but aparantly NOT the correct way, here's the problem A conducting spherical shell of radius R is charged uniformly with total charge Q. By DIRECT integration, find the potential at an...

okay this isn't really a homework problem, we just got done doing a uniformly charged sphere, but in a good conductor electrons are going to repel each other and move to the surface, and that got me thinking. How do you find the potential inside a uniformly charged SHELL. Someone said the...

The text says that the spin momenta of those electrons cancel each other so S=0. The text also says that the orbital momenta of those electrons cancel each other so L=0. But, if there are electrons with quantum numbers (l1,s1) and (l2,s2), using S-L coupling, the L=l1+l2,l1+l2-1,...\l1-l2\...

The text says that the spin momenta of those electrons cancel each other so S=0. The text also says that the orbital momenta of those electrons cancel each other so L=0. But, if there are electrons with quantum numbers (l1,s1) and (l2,s2), using S-L coupling, the L=l1+l2,l1+l2-1,...\l1-l2\...

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 A K shell electron is ejected from a tungsten atom. The result of this is the emission of a characteristic x-ray proton. (The binding energy of the K shell in tungsten is 69.5keV. The binding energy of the L shell in a tungsten atoms is 10.5 keV). a) If the vacancy in the K...

Homework Statement Heres the question. Use shell method to find volume: y=3+2x-x^2 with boundaries: y=0, x=0, intercept x=3 and rotate around x=4 Homework Equations I know that V=2pi (integral from 0 to 3) (radius)*(height) dx The Attempt at a Solution My radius was...

Homework Statement Use the shell method to find the area of the resulting shape when the region bounded by y=4x-x2 and y=0 is rotated about the line x=5. Homework Equations 2π ∫ (shell radius)(shell height) dx (from x=a to b) The Attempt at a Solution I know the region I am...

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 A cylindrical distribution of charge [tex]\rho=\frac{\alpha}{\sqrt{r}}[\tex] where [ tex ]\alpha = \frac{2\muC}{m^\frac{5}{2}} [ \tex ] extends from 0 cm to 8.2 cm. Concentric with this is a dielectric shell with 4.08 of inner radius 16 cm and other radius 26 cm. What is...

Hello, Homework Statement My problem regards the disk|washer, and cylindrical shell methods for finding volumes in single variable calc. My problem is basically am I understanding these two methods and their relationships properly. Fundamentally, these methods are indentical, as we can...

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...

Hi all I hav written a very small shell script in bin bash & its not working. The script is :: #!/bin/bash i=1.0 while [ $i -le 3.0 ] do i=`expr "$i + 0.5" | bc`; echo "i=$i" done The error is : line 6: [: 1.0: integer expression expected I think the use of decimals in 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 Find the volume generated by rotating the given region about the given line using the Shell method and the Washer method. x = 4y [y = x/4], y = 0, x = 0, x = 8 about x Homework Equations Washer method (about x): V = pi \int^b_a ((Rtop2(x) - rbottom2(x))dx...

Homework Statement A cylindrical shell of radius 9.9 cm and length 286 cm has its charge density uniformly distributed on its surface. The electric field intensity at a point 23 cm radially outward from its axis (measured from the midpoint of the shell ) is 44800 N/C. Given: ke = 8.99 × 10^9...

Homework Statement Find the work done to move a test charge with charge q from the origin to the edge of a spherical conducting shell which surrounds it, also of charge q. (Shell is of radius R). Homework Equations W = int(F.ds) where W = work done, F = force The Attempt at...

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 infinite line of charge with linear density λ = 8.8 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.9 cm and outer radius b = 4.1 cm. The insulating shell is uniformly charged with a volume density of ρ = -659 μC/m3. What is Ex(R), the...

Homework Statement Show that a conductive shell a<b has a resistance of R= (a-1-b-1)/(4πσ) Homework Equations J = σE I = JA = σEA R=(Va-Vb)/I The Attempt at a Solution My problem is my algebra i think. First i found the electric field Qenc= ρV =...

Homework Statement An infinite line of charge with linear density λ = 8.8 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.9 cm and outer radius b = 4.1 cm. The insulating shell is uniformly charged with a volume density of ρ = -659 μC/m3. What is λ2, the...

Homework Statement What is the parity and possible spins predicted by the single particle shell model for the ground state of the 19K40 nucleus (I'm most unsure about the spins) Homework Equations The Attempt at a Solution This has 19 protons and 21 neutrons. Odd-odd...

Homework Statement Is the probability that an electron transitions from the N to M (n = 4 to n = 3) shell different than the electron going from L to K (n = 2 to n = 1)? So basically, should I expect to see a lot more transitions from n = 2 to n = 1, than any other type of transition? If...

Homework Statement A thick-walled, conducting spherical shell has charge q = +10 mC, inner radius R1 = 10cm, and outer radius R2 = 50 cm. A point charge Q = -20 mC is located at the center of the shell. Describe the the charge distribution in the shell. 2. Given answer +20 mC on...

Consider a charged spherical conducting shell. I understand that Gauss's law implies that there is no charge on the inside surface of the conducting shell. Now consider a charged spherical conducting shell with lots of holes cut uniformly all over it. Would Gauss's law still imply that...

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)...

The question: Use the shell-model diagram provided to justify the spins and parities of the ground-state of 39Ca, 40Ca, 41Ca and 41Sc. Give the spins and parities of the first excited state of 39Ca,41Ca and 41Sc (Z=20 for CA and Z=21 for Sc) My problem: Although I'm fairly certain I've got the...

There's no electric field inside a conductor, a classic observation of electrostatics. Any field that "should" exist is compensated for by charge redistribution on the surface of the conductor. This produces classic results like shielding since in a hollow conductive shell, the field is still...

Homework Statement http://www.catholiccentral.net/Document.Doc?id=200 problem number 5 Homework Equations 2pi intergral x(9x^4/625) The Attempt at a Solution When I do the shell method it doesn't give me the same answer as if I use disk. I've also noticed that when I do the...

Homework Statement Hey everyone, I'm studying for my physics and came across a question for the COM of a hemisphere. However, I was wondering what methods there are to find the COM of a hemispherical shell instead. Any insight would be very much appreciated! =) After much of tearing Google...

Hi all Suppose we have a conducting shell (which is not necessarily a sphere) and no electric charge inside. Is the electrostatic field inside the conducting shell always zero? (even if there is some charges outside the shell) What if the shell is grounded? If the answer is yes, how it...

Does anyone know how to even start this problem.. :( I seriously have no idea...spent like few hours to find this out on the library and no luck... Please help a poor guy out...I aint smart enough for this...

Homework Statement There's a conducting spherical shell with Q = q2 and V =100v and outter radius R Homework Equations V=k*Q/R The Attempt at a Solution First I calculate the E field using Gauss law, and I get E=q2/4*Pi*E0*r Integrating the E field to get the potential V y...

http://www.guardian.co.uk/business/2010/dec/08/wikileaks-cables-shell-nigeria-spying 70% of Nigerians who live below the poverty line will be none too happy to read about this.

Homework Statement The shell of a shotgun, after being fired, with a velocity of v=1000 m/s gets split into two parts with equal masses. One of the two parts continues to move on the same direction as the whole (not separated) shell did, with a velocity of v=1500 m/s. a) Find the velocity...

Homework Statement Region bounded by y=x^2 and y=3x. Set up integrals to determine volume of solid obtained by rotating the region about: 1. the x axis show both disk/washer method and shell method 2. the line x=4 show both disk/washer method and shell methodThe Attempt at a Solution I...

Benzene forms the electron shell configuration of two rings of electrons, parallel to the molecule, shown here http://upload.wikimedia.org/wikipedia/commons/thumb/9/90/Benzene_Orbitals.svg/750px-Benzene_Orbitals.svg.png so my question is, if an electron beam is run through the center of the...

Homework Statement The volume of a solid of revolution using the shell method is \int_{a}^{b} 2\pi x f(x) dx. Prove that finding volumes by using triple integrals gives the same result. (Use cylindrical coordinates with the roles of y and z changed). Homework Equations dV = r dr d\theta...

Homework Statement A long, hollow conducting pipe of radius R and length L carries a uniform current I flowing around the pipe. Find expressions for the magnetic field (a) inside and (b) outside the pipe. Hint: What configuration does this pipe resemble? Homework Equations Ampere's Law...

Homework Statement A shell is shot with an initial velocity 0 of 23 m/s, at an angle of θ0 = 54° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (Fig. 9-42). One fragment, whose speed immediately after the explosion is zero, falls...