Shell Definition and 750 Threads

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 shell explodes into three fragments of equal masses. If two fragments travel at right angles to one another with equal speeds, 'v', what is the direction and speed of the third fragment? Homework Equations doing ratios? The Attempt at a Solution i don't know...

Homework Statement Given that the conical shell has uniform density and thickness is made of one sheet, has mass M, height h, and base radius R, derive the moment of inertia about its axis of symmetry. Homework Equations I = MR^2 for a ring about its central axis. I = ∫dI - my approach The...

In the following web page with imbedded video, play and stop the video at the 30 second mark (the video is about 1/3 of the way down the following link). http://blogs.scientificamerican.com/observations/2011/11/14/the-best-video-of-earth-from-space-ever-made/ Why does there appear to be a thin...

I was wondering, does the principal quantum number refer to the electron shell.

I'm sure this has a straightforward explanation and am hoping someone can answer it for me. Looking at this diagram of Bohr's quantified shell model of the atom: http://library.thinkquest.org/C005775/Theory/oldtheory_section3.html ...I don't understand what is preventing the electron...

hi please explain what is nucleus shell model?

Hi everyone For the past few months I have been learning about the nucleus and the nuclear shell model. The experimental evidence for a shell structure is overwhelming and easy to understand. It is also quite straight forward to obtain the correct shell closures (magic numbers) using a 3d...

Homework Statement The distribution of mass on the hemispherical shell: z=(R2-x2-y2)1/2 is given by σ(x,y,z)=(σ0/R2)(x2+y2) where σ0 is a constant. Find the moment of inertia about the z-axis of the hemispherical shell. Homework Equations I=∫r2dm The Attempt at a Solution...

This is really a continuation from another thread but will start here from scratch. Consider the case of a static thin spherical mass shell - outer radius rb, inner radius ra, and (rb-ra)/ra<< 1, and with gravitational radius rs<< r(shell). According to majority opinion at least, in GR the...

In another thread I posed basically the folowing problem: Take the case of a stationary, non-rotating thin spherical shell of uniform area mass density - outer radius rb, inner radius ra, with (rb-ra)/ra << 1. There is consensus opinion that everywhere exterior and down to rb, spacetime is that...

Homework Statement Given that the hemisphere has a charge +Q distributed through its surface with radius a. Find the electric potential on any point on z axis (the plane of the hemisphere is oriented in positive z direction).Homework Equations \phi = \int\frac{kQ}{|R-R'|}*ds (surface integral)...

Homework Statement Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. y= 4x2, y=-2x+6 Homework Equationsy= 4x2, y=-2x+6 These 2 equations meet at x= -3/2 and x=1 integral from a to b of...

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 =...

You are a hollow metallic sphere of inner radius r1, and outer radius r2. Inside is a charge of magnitude Q and a distance d<r1 from the centre. First I need to draw the electric field lines for regions r<r1, r1<r<r2, and r2<r Since the sphere is a conductor the only place where there is...

Hey guys, I am currently working on a project and need to model the tubing configuration as shown in the first attachment. Experimental testing has been completed and I have detailed data for the strain and vibration velocity as required. I need to model this in ANSYS to compare the...

Homework Statement Use the shell method to calculate the volume of rotation about the x-axis for the region underneath the graph. y=\sqrt[3]{x}-2, 8\leqx\leq27 Homework Equations I was taught that I would set up the integral by using the area which would look something like...

The nature of a black hole is that gravity attracts objects at a speed faster than light making it impossible for them to be able to escape but if the object is accelerating towards the black hole it would slow down and become more massive the close it got because it is approaching the speed of...

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...

An infinitely long solid insulating cylinder of radius a = 5.3 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 45 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.2 cm, and...

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...

Hello everyone! I'm a math major taking a university physics course, and I have a question about the proof that perfectly spherical objects have equivalent gravitational force as a point mass located in the center. The proof in question can be seen in one form at...

Hello I am currently studying for a BA iin mech eng. Now, i have been thinking recently, is it possible to produce a lightweight artillary shell, that can contain a solid state rocket fuel, and a compressed oxygen canister? If so, would it not be all that impossible to fire this 'shell'...

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.

Homework Statement The area under the graph of the function y = cos inverse x on the interval [0; 1] is rotated about the x-axis to form a solid of revolution. (a) Write down the volume V of the solid as a denite integral with respect to x according to the disc/slicing method. Do NOT...

Homework Statement Let's say I have the area bounded by y_1 = \sqrt{x} and y_2 = x^2 in (0,1). Rotate that about the x-axis, find that volume of solid. The Attempt at a Solution Which one is right? \int_{0}^{1} \pi (x^2 - \sqrt{x})^2 dx \pi \int_{0}^{1} x^4 - x dx I think...

This is a very naive question. But I think, it's an important point that has been unattempted in textbooks. The question is: How far should one trust the Bohr-Sommerfeld model or the atomic shell theory for all elements in the periodic table? This question generally comes in mind, since...

From Div,Grad, Rot and all that Disclaimer: Sorry, why do the Latex tags not work? Homework Statement "An electrostatic field is given by \vec{E} = \lambda (\hat{\vec{i}}yz + \hat{\vec{j}}xz + \hat{\vec{k}}xy), where \lambda is a constant. Use Gauss' law to find the total charge enclosed by a...

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...

See Title

Homework Statement Hello PF, first time poster here. I don't normally ask for help on the internet, especially for homework, but I've visited this website several times and I've seen nothing but good as I've looked at everyone else being helped, so I decided it'd be worth a try. :) So here's...

Homework Statement Homework Equations The Attempt at a Solution What is the relation between a shell and a solid sphere? Can you give me some hints?

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...

Homework Statement Inside a metal conducting shell of radius R there is a negative charge q at a distance a from the center M. The shell is brought up to a potential V. What is the surface charge on the inside and outside of the conductor? The Attempt at a Solution I'm not sure if this...

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...

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...