Conducting Definition and 562 Threads

Homework Statement A conducting sphere, radius R, charged with Q is inside a conducting shell (2R<r<3R) with charge 2Q. Find the electric potential and the energy. Homework Equations \Phi =-\int_{r_1}^{r_2} \vec{E}\cdot\vec{dl} U=\int_{V}E^2dV The Attempt at a Solution I think i got it...

I came upon this: http://physics.stackexchange.com/questions/174514/will-the-electrostatic-force-between-two-charges-change-if-we-place-a-metal-plat/323006#323006 question on Physics Stackexchange which I found very interesting. The configuration is basically two positive point charges q and...

Hello, As a heuristic tool for a complex problem, I'm trying to understand a series of nested conducting loops each with a initial identical current on it. These perfectly conducting loops are in the same plane each with that current in either direction. Each nested loop is perfectly...

Homework Statement Imagine that you are conducting an activity with laser to create an interference pattern. Use the appropriate equations to predict two ways to change the interference pattern in order to have closer fringes. Explain your predictions. Change in X = L(Lambda) / d Homework...

Homework Statement An infinitely long solid insulating cylinder of radius a = 4.3 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 28 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner...

1. Homework Statement Hi everyone. I am having trouble figuring out how to solve this problem. The right answer is E Homework Equations Well, we do have the law of conservation of charge. I also know that Work by a conservative force = - change in potential energy The Attempt at a Solution...

1. The problem stsatemesnt, all variables and given/known data A cylinder conductor of length ##l##, inner radius ##a## and outer radius ##b## is half-filled with a liquid dielectric as shown in the picture. The cylinder is attached to a battery of constant voltage ##U## and then separated from...

Homework Statement A very thin plane of length ##2a## is placed in the air at height ##a## above the conducting surface. The plane is charged on its surface and the expression for it's surface charge density (##ρ_s##) is given by ##ρ_s=ρ_{s0}*\frac{x}{a}## and ##ρ_{s0}## is some constant. a)...

Hi. I'd like to show that a conducting, charged spherical shell can shield the field of an inside opposite point charge even if this charge is not at the center. I was thinking about a Gaussian surface just outside the sphere, such that if there were electric field vectors they would be...

The electric field in a 2.5mm×2.5mm square aluminum wire is 2.1×10−2 V/m . What is the current in the wire? The answer is I=4.65A. But my question is according to Gauss law, the electric field inside the conductor is zero. then how come this question says "The electric field in a 2.5mm×2.5mm...

For a research project I'm looking for a material to use as a robust substrate onto which I will apply a polymer. The ideal material would be flexible (or at least not brittle), porous to water and dissolved ions, relatively smooth and uniform (so that an even film of polymer can be cast onto...

For a conducting sheet that is transverse to a constant uniform incident field, I believe the resulting total field would simply be the incident field doubled. I'm trying to figure out why this happens, preferably avoiding the method of images since I am using this to figure out how the method...

The common explanation is this: If the conductor has a net charge, then the charges repel each other until they arrange themselves symmetrically around the outside of the sphere, and if you do the math the electric field will cancel out everywhere inside the conducting sphere. Alright, but what...

Hey, I would like to showcase my experiment I'm doing. I'm 16, in high school, and the only science I know is chemistry. But that was a default class. I'm learning about Quantum Physics on my free time. and would very much like to become a scientist in that field. To start off this is kind of a...

Homework Statement Hi everybody! I would like to clear up some doubts I have about my electromagnetism homework: A positive point charge ##q## is placed in the center of an ideal conducting electrically neutral spherical shell, as shown in the attached picture. a) Calculate the electrical...

Homework Statement Two concentric cylindrical conducting shells of length L are separated by a vacuum. The inner shell has surface charge density +σ and radius ra. The outer shell has radius rb. Using Gauss’ Law, as a function of radius r find: The direction and magnitude of electric field...

Hello.. i just saw this amazing Forum and wanted to contribute, so here is my first question and i hope i get an answer x.d I was told that at electrostatic equilibrium, the electric field inside a conducting sphere will be ZERO, How can i charge thissphere from the inside, so the Electric...

Homework Statement Two charged metallic spheres of same size repel each other by a force F. They are now touched with each other and are then separated to same initial distance. Now the force of repulsion is F'.Homework Equations On touching the spheres will reduce their charges... So the new...

Homework Statement A positive point charge q is located off-center inside a conducting spherical shell.We know from Gauss’s law that the total charge on the inner surface of the shell is −q. Is the surface charge density negative over the entire inner surface? Or can it be positive on the far...

Homework Statement Find the force that tries to rip apart a conducting shell into two halves about its equator when kept in a uniform electric field of magnitude ##E##. Homework Equations Gauss Law: $$\nabla\cdot\vec{E}=\frac{\rho}{\epsilon_0}$$ I think Laplace equation might also be...

Homework Statement a) A charge q is released a distance d above a grounded infinite conducting plane. It's non relativistic velocity is v. Find the induced surface current density on the plane. b) Show that the above current density produces a vanishing magnetic force on the charge. Homework...

Homework Statement Lets say we have two horizontal rails connected by a resistor to the left, and we have a movable conducting rod that slides without friction on the rails.There is a uniform magnetic field going into the page. Homework Equations F = ILB[/B]The Attempt at a Solution Now, I...

Homework Statement We have contours C1 and C2 located in vacuum and there are constant currents in them, I1 and I2 respectively. Find the expression for magnetic force that acts on one very small element (dl) of the circle C2 and it's coming from one very small element of the contour C1...

Homework Statement This is problem 3.4 from Prucell and Morin if you have the book. Homework Equations None The Attempt at a Solution Electric field inside a conducting sphere is zero. Let P be a point on one of its equatorial plane. The field along the plane is zero. So I know the charge...

hi, i still don't understand why infinite thin-walled cylindrical shell or conducting rod use lambda rather than sigma ? lambda = C/m ,,, sigma = C/m^2 i mean when we look at conducting rod, the charges inside the conductor is zero, so the charges spread on the surface of conducting rod(have...

There's this question, A conducting sphere of radius R and charge Q is placed near a uniformly charged non conducting infinitely large thin plate having surface charge density σ. The potential at point A on sphere due to charge on sphere is? I have uploaded the picture. Now I know the net field...

I've been given a copy of my friend's midterm exam from this same class from last term, and decided to take a crack at it to help study. One question type in particular really messes me up and it looks like the following. How would I go about solving these in the future? A solid insulating...

"A metallic wall cannot, however, support an electric field parallel to the surface, since charges can always flow in such a way as to neutralize the electric field." This is from a textbook and I'm not quite sure what this means. The context is the process of calculating Rayleigh and Jeans...

Homework Statement There are three point charges inside a conducting spherical shell of radius R. One of them of charge -2q is in the origin and the other two with charge q are in z=d and z=-d. Find the potential inside the sphere! Homework Equations ##\nabla^2\phi=4\pi \rho## 3. The attempt...

Homework Statement The plane with surface charge sigma lies in x-z plane at y=0, parallel to it at y=a there is a grounded plane. What is the field just above the bottom plane, find the potential between the planes Homework Equations discontinuity E=sigma/epsilon, V=Qd/Aepsilon take the...

Homework Statement A conducting sphere of radius 100cm is charged to a potential of 30 volts. a) What is the charge on the sphere? b) What is the energy stored in the field? c) If the sphere is connected to a second identical uncharged sphere by a long wire, what is the final energy in the...

Homework Statement We have an infinite slab of conducting material, parallel to the xy plane, between z = −a and z = +a, with magnetic susceptibility χm. It carries a free current with volume current density J = J0z/a in the x direction (positive for z > 0, negative for z < 0). The integrated...

Homework Statement Find the potential at the centre and at P of a hollow uncharged conducting spherical shell if a charge q is placed at a distance of 2r from centre of shell. (r is the radius) Homework Equations All the charge induced on the sphere has to reside on the sphere's outer...

An uncharged metal sphere suspended by a silk thread is placed in a uniform external electric field E.(a)What is the magnitude of the electric field of points inside the sphere?(b)Is your answer changed if the sphere carries a charge? I would have asked this in homework forum but it does not...

Problem: Consider two parallel and large sheets with a surface area . One has a charge and the other is uncharged. q | | | | | | | | | | What would be the electric fields on the three regions as divided by the sheets ? General solution to problems like as told...

Homework Statement Hi, I'm currently answering a problem in Jackson's electrodynamics. The question is: Given a point charge q inside a hollow. grounded, conducting sphere of inner radius a. Find the potential inside. This can be solved by placing an image charge outside the sphere, and...

A uniformly charged disk has radius R. It was a charge density and is located above the conducting plane at a distance a. The disk is parallel to the conducting plane. Find the electrostatic potential at (0,0,z) in the region above the plane. The conducting plane is grounded

Homework Statement A rectangular conducting loop of wire is approximately half-way into a magnetic field B (out of the page) and is free to move. Suppose the magnetic field B begins to increase rapidly in strength. What happens to the loop? Homework Equations Not sure which ones are relevant...

I want to ask Is conducting shell same as uniformly charged thin spherical shell? Because while finding Electric field due to uniformly charged thin spherical shell surface charge density is taken the same happens in case of conducting/metallic shell all the charges reside on surface similarly...

Homework Statement A point charge q is at the center of an uncharged spherical conducting shell, of inner radius a and outer radius b. How much work would it take to move the point charge out to infinity (through a tiny hole drilled in the shell)? [answer: q2/8πε0)(1/a - 1/b) Homework...

Homework Statement 1. Two solid metal spheres are very far apart: sphere A (radius 44.1 cm) is charged to potential +2,346 Volts; sphere B (radius 63.6 cm) is charged to potential +8,848. Now, a long conducting wire connects the two spheres. When the charge has stopped moving, find the new...

Hi, I need some help with this homework from my Electromagnetism course. I hope this is the correct place to post this. (Please excuse any potential english mistake I made trying to translate this). Problem 1: Copper (conductor) sphere of radious R with an spheric bubble inside placed at...

Homework Statement A hollow spherical shell (B) with inner radius R2 and esternal radius R3 is negatively charged with Q. A spherical conducter (A) with radius R1 is placed within the the shell. A is charged with Q. The centers of both shells coincide. Then a negative point charge q is placed...

Homework Statement A conducting sphere of radius a is surrounded by a neutral conducting shell of radius b (b > a).Connections are provided as shown in diagram. Initially, the sphere has a charge Q. The switch S1 is opened and then closed. The switch S2 is then opened and closed. Finally, the...

Homework Statement A frame is made of two firm wires of length ##h## and a rod of length ##l## and mass ##m##. This frame can rotate around horizontal axis in uniform magnetic field ##B##. In a short amount of time ##τ## a current ##I## passes through the frame. What is the maximum angle that...

Homework Statement Two concentric conducting spherical shells produce a radially outward electric field of magnitude 49,000 N/C at a point 4.10 m from the center of the shells. The outer surface of the larger shell has a radius of 3.75 m. If the inner shell contains an excess charge of -5.30...

Homework Statement A thin metallic spherical shell contains a charge Q over it. point charge +q is placed in side the shell at point T separated from the centre by a distance a. Another point charge q1 is placed outside the shell at a distance b from the centre find the electric field at the...

I recently read that the charge density is less on surfaces with greater radius of curvature on the surface of a charged irregular conducting body . if anyone can provide a proof or explanation , please help!

Homework Statement If you have a conducting shell with charge Q surrounding a conducting sphere of charge negative - Q, what is the potential at the outside of the conducting shell? What about the inside? Homework Equations V=(kQenclosed)/r The Attempt at a Solution I don't know if the above...

Homework Statement A conducting slidewire system is set up as shown. The sliding wire has mass m and electrical resistance R and falls under gravity as shown. The fixed wire loop has zero resistance and lies perpendicular to a uniform magnetic field B shown pointing into the page. i) Use...