Conducting sphere Definition and 110 Threads

Homework Statement At a distance of 0.206cm from the center of a charged conducting sphere with radius 0.100cm, the electric field is 485N/C . What is the electric field 0.612cm from the center of the sphere? Homework Equations E(r)=1/4∏ε_0 * qr/R^3 where r is radius of the Gaussian...

Homework Statement Homework Equations The Attempt at a Solution The ground is at zero potential. Hence, the sphere should be also at zero potential. The net charge should be zero, so a charge of -Q should flow from the ground to sphere. But this is wrong. :confused:

A spherical conducting shell with charge total q surrounds a charge –2q at the center of the shell. The charges on the inner and outer surfaces of the shell are respectively I know that if the conducting sphere has no charge the inner and outer charges would be +2q, and -2q respectively but...

I am in general physics III (E&M) at Cal Poly and I have a midterm tomorrow... my professor didn't go over Gauss' Law too much, so I'm having issues with this problem that is on his review. I will write the question exactly as it appears on the sheet. Homework Statement "You have a hollow...

Homework Statement A solid conducting sphere with radius of R1 and charge of 3Q, is placed in the center of a thin conducting spherical shell with inner radius of R2 and outer radius of R3, charged with -Q what is the field for r<R1, R2>r>R1, R3>r>R2, r>R3 and what is the charge...

Homework Statement A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is -3Q, and it is insulated form it surroundings. What is the surface charge density on the inner surface of the...

My book tells me the answer to part b is 1.96*10^5, but I fail to see where I have gone wrong with this?

Homework Statement A point charge +q is situated a distance a from the center of a grounded conducting sphere of radius R. Find the induced surface charge on the sphere as a function of θ. Integrate this to get the total induced charge.Homework Equations σ=-εo*∂V/∂r Q=∫σ daThe Attempt at a...

The electric field strength inside a conducting charged sphere is zero, but why? In the book it says "that the field lines would link charges of opposite sign in the sphere and such a state of affairs is impossible under static conditions in a conductor." I don't really get this sentence. And...

I feel like I need to incorporate ##\mathbf{E} = E\hat{\mathbf{z}}## but I don't know what to do with it. A grounded conducting sphere of radius ##a## is placed in an (effectively) infinite uniform electric field ##\mathbf{E} = E\hat{\mathbf{z}}##. The potential for a uniform electric field in...

If a point charge is placed in a cavity of a conducting sphere, and the sphere itself is given a charge , would the point charge in the cavity experience a force?

Homework Statement The electric potential at the center of a (5.00cm radius) metallic sphere is zero Volts. The sphere is surrounded by a concentric conducting shell of 10.0cm outer radius and a thickness of 2.0cm. The shell has a net charge of +20mC. a.)Find the charge on the sphere. b.)Give...

A hollow, conducting sphere is initially uncharged. A positive charge, +q1, is placed inside the sphere (at the center). Then, a second positive charge, +q2, is placed near the sphere but outside it. Which of the following statements describes the net electric force on each charge? 1-There...

Homework Statement What is the difference between a uniform conducting sphere and a uniform non-conducting sphere? I'm studying the Gauss's Law right now.

Homework Statement A solid conducting sphere carrying charge q has radius a. What is the electric field when r<a. Homework Equations EA=Qenclosed/εo The Attempt at a Solution I found it using gauss law where Q=density*V. I ended up with qr/(4pi*a3*εo)HOWEVER, my friend told me it should be...

Homework Statement A conducting sphere of radius A has a charge +Q on it and is surrounded by an insulating material whose dielectric constant varies with radius according to εr = 2exp[-(r/a-1)]2. The dielectric has a spherical outer boundary B. Find the values of D, E, P, ρ as a function of...

Simple question,finding the charge on conducting sphere?? A conducting sphere of radius 1cm has a charge of 5microC is placed far away from another sphere with radius 2cm,,the two spheres are connected to each other by a thin wire ,the charge on the larger sphere is ? Answer : 3.33microC...

I think understand the concept of the "method of images" to describe a conductor. The conductor has to be an equipotential or else electrons would be moving around inside it. This equipotential can be described by replacing the conductor with an image charge. For example imagine the field...

Homework Statement At time t = 0 a charge distribution \rho(r) exists within an idealized homogeneous conductor whose permitivity \epsilon and conductivity \sigma are constant. Obtain \rho(r,t) for subsequent times. Homework Equations Maxwell's equations = Gauss' Equation + Ohm's...

Homework Statement A 5.5 cm radius conducting sphere is charged until the electric field just outside its surface is 1667 V/m. What is the electric potential of this sphere, relative to infinity? Homework Equations V = - integral ( E (dot) dl ) The Attempt at a Solution They only...

If you place a charge +q at the exact center of a conducting sphere, will it stay there or move to the surface?

Suppose I put an (uncharged) hollow conducting sphere with inner radius a and outer radius b in an external electric field in the positive z direction. Apparently, the potential INSIDE the sphere -- that is, for 0 < r < a -- is zero. Can someone explain why this is? I understand that the...

Given the equation for the potential "on" a non conducting sphere how can the potential and electric field inside the sphere be calculated? If there is a potential on the sphere am I to assume that there must therefore be a charge build up in the sphere? Is this just calculated by the Laplace...

Homework Statement This isn't about a specific problem, but it is based off of a homework problem. There is an insulating sphere (from radius 0 to a), and it is concentric with a spherical conducting shell (from radius b to c). If I know the charge of the insulating sphere and the net charge...

Conducting Sphere "shielding" an electric field Hello. I have a question regarding a problem that I have seen printed many times in various books and which I saw on a test today: A hollow conducting sphere contains 2 charges, q_1\;and\;q_2 . Outside the sphere are two additional charges...

Homework Statement A solid nonconducting sphere of radius R carries a nonuniform charge distribution, with a charge density ρ = ρsr/R, where ρs is a constant and r the distance from the centre of the sphere. Show that i) the total charge on the sphere is Q= πρsR3 and ii) the...

Homework Statement A conducting sphere of radius 0.01 m has a charge of 1.0 × 10–9 C deposited on it. The magnitude of the electric field in N/C just outside the surface of the sphere is Homework Equations E=kq/r^2 EA=q/eo The Attempt at a Solution I tried the first equation...

This is a general question: What is the electric potential of a hollow neutral conducting sphere with radius R with a charge q placed inside it? Intuitively I understand that it is the same - q/R, no matter where the charge is placed inside the sphere. Can anyone explain why it is so? My...

Homework Statement An electrically neutral conducting sphere of inner radius Ra and outer radius Rb is centered on the origin. Two equal, positive point charges of magnitude Q are located on the x-axis on each side a distance d from the origin. Determine the electrical potential in the...

Homework Statement \bold{V}\ =\ \frac{Q\,(3R^2\ -\ r^2)}{4\,\pi\,\varepsilon_0 \ \ {2R^3}} Potential inside the sphere. Homework Equations Electric field inside the sphere (non conducting): \bold{E}\ =\ \frac{Q.r}{4\,\pi\,\varepsilon_0\,R^3}...

I've recently learned that the voltage of a charged conduction sphere remains constant inside the sphere all the way to the surface, as the electric field inside is zero. What I don't understand is how the voltage can be the same on the surface as it is inside- since there is an electric field...

Homework Statement Determine the total electrostatic potential energy of a conducting sphere of radius r_0 that carries a total charge Q distributed uniformly on its surface. Give your answer in terms of Q, r_0, epsilon_0 and appropriate constants. Homework Equations The Attempt at...

I need to find the charge and charge density on the surface of a conducting sphere of radius r=0.15m and of a potential of V=200V. I know the surface charge density, which is Q/A. The surface area is 0.28274, but I can't find the charge.

I need to find the charge and charge density on the surface of a conducting sphere of radius r=0.15m and of a potential of V=200V. I know the surface charge density, which is Q/A. The surface area is 0.28274, but I can't find the charge.

Homework Statement If I wanted to find the potential inside a sphere, would I be looking for the general solution (in terms of Bessel's expression) for the helmholtz equation, in spherical polar coordinates? Also, does a 'conducting' sphere imply that there is no potential outside the...

Homework Statement Positive charge is distributed throughout a non-conducting spherical shell of inner radius R and outer radius 2R at what radial depth beneath the outer surface the electric field strength is on half to the elextirc field at the surface Homework Equations Gauss's...

Homework Statement An isolated metal sphere of radius a has a free charge Q on its surface. The sphere is covered with a dielectric layer with inner radius a and outer radius b Calculate the polarization charge density on the inside and outside of the dielectric. Homework Equations...

Homework Statement I had a question there is a conducting sphere submerged in a nonconducting fluid with a dielectric constant do I treat the fluid as if it is a uniform field? Or do I go ahead and use Legendre polynomials? I asked to find E,D and the polarization. Homework Equations...

Homework Statement A 33 -cm-diameter conducting sphere is charged to 457 V (relative to a point an infinite distance from the sphere where the potential is zero). a. What is the surface charge density σ? Homework Equations Surface Area= 4(pi)r^2 Surface Charge Density= Q/A V=kQ/r...

Hello fellow physicists! This is a problem out of my graduate E&M course, and I was hoping some of y'all might have some ideas on it. We have an uncharged conducting sphere. It is floating half-submerged in a bath of oil (with dielectric constant \epsilon ). Now we put a charge Q on the...

A hollow metal sphere has a potential of +320 V with respect to ground (defined to be at V = 0) and has a charge of 4.4 x 10-9 C. Find the electric potential at the center of the sphere. How do you do this. They don't give the radius which would help.

Homework Statement Consider a solid conducting sphere with a radius 0.7 cm and charge −7.3 pC on it. There is a conducting spherical shell concentric to the sphere. The shell has an inner radius 2.8 cm(with 2.8 cm > 0.7 cm) and outer radius 5 cm and a net charge 27.9 pC on the shell. Denote...

Hi, can anyone help me to solve this problem... An isolated conducting sphere which radius R is 6.85cm has a charge q=1.25nc. Determine how much potential energy stored in conducting sphere? I try to solve it but can't get the ans...the hint given is...

A conducting sphere of radius a carries a charge Q on its surface. (i) Find its potential \varphi(r) for r > a (choosing \varphi = 0 very far away), and thus the potential V (Q) = \vaprhi(a) on the surface of the sphere. (Rii) Explain why the electrostatic energy of the charged sphere can be...

Homework Statement A conducting sphere of radius R carries a total charge of +Q. Its center is placed a distance 2R to the right of a grounded conducting plate. What is the potential at a general point in space outside the sphere and to the right of the plane? (Carry out to at least four...

-------------------------------------------------------------------------------- I need to find the work it would take an applied force to assemble a conducting sphere of radius R and charge Q at constant kinetic energy from infinity. Tried: Since the Electric Field inside the conductor...

A thin charged (charge=Q) ring of radius a centered on the z axis lies in the x-y plane. The potential outside the ring is given. Now the ring is placed inside a grounded conducting spherical shell of radius b > a. What is the potential inside the ring and between the ring and the sphere...

Homework Statement Show that the energy associated with a conducting sphere of radius R and charge q surronded by a vacuum is given by u=kq^2/(2R). Homework Equations The Attempt at a Solution

Let me preface this as this is my first post on this forum. I'm a physics major at Virginia Tech and I've lurked the forum for a while to help understand concepts that may not be intuitive initially. I'm stuck on this one concept, so I decided to give posting a shot. Without further ado...

Homework Statement A 32 cm diameter conducting sphere is charged to 500 V relative to V=0 and r = infinity. (a) What is the surface charge density sigma? (b) At what distance will the potential due to the sphere be only 10 V? Homework Equations The Attempt at a Solution I...