Charged sphere Definition and 123 Threads

can someone explain how the potential inside a sphere is constant, in terms of using coulomb's law and knowledge of charge in an electric field, without directly invoking gauss's law or the partial derivative for rate of change in potential. the graphs depicting potential around a sphere show...

Suppose we have a sphere with a uniform surface charge. According to Gauss law the electric field inside such a sphere is zero. So if I put a charge ( let me call it Q from here) in it, it wouldn't experience any force, would it? What I don't understand is this: the charge Q we actually put...

Homework Statement A charged isolated metal sphere of diameter 10cm has a potential of 8000V relative to V=0 at infinity. Calculate the energy density in the electric field near the surface of the sphere Homework Equations u=1/2[tex]\(epsilon x E^2) E=kq/r^2 The Attempt at a...

Homework Statement A uniformly charged sphere (center O1) with radius a and charge +Q has an off-center cavity within it (center O2) with radius b. Show that the electric field within the cavity is uniform and is directed along the line of centers, according to the equation: \vec{E} =...

Homework Statement Two charged metal spheres are connected by a wire. Sphere A is larger than sphere B. The magnitude of the electrical potential of A... a) is greater than at the surface of sphere B b) is less than at the surface of sphere B c) is the same as that at the surface of...

An insulating sphere of radius 5.00 cm , centered at the origin, has a uniform volume charge density 3.05 uC/m^3 . There is a spherical cavity cut out of its center of radius 2.00 cm. Well i know to use Gauss' Law: Φ = ∫E∙dA = Q/ε where Φ is the electric flux, E is the electric field, dA...

Homework Statement Hi, imagine an insulating uniformly charged sphere. Its electric field points from the center outwards radially. Now cut out another smaller sphere from inside, such that their centers do not coincide. What is the electric field inside the hollow like? Homework...

Homework Statement Hi i am going to proove that the mean square radius for a uniformed charged sphere is: For a sphere with radius R. Homework Equations So how do i do this? I have no idea where is should beging and so on. The Attempt at a Solution I thougth like this...

Homework Statement What is the force on a point charge q1 contained inside a hollow conductive sphere (or fine grid) with charge q2 and radius R?Homework Equations Coulomb F=k q1q2/r^2 Gauss Law/method of closed surface: Integral over closed surface of Enormal da = E times the area of the...

Homework Statement The electric field at the surface of a charged, solid, copper sphere is 4200 N/C, directed toward the center of the sphere. The sphere has a radius of 0.190 m. What is the potential at the center of the sphere, if we take the potential to be zero infinitely far from the...

From Griffiths, Third edition Intro Electrodynamics I've been working on this problem, and I get 2 different answers. I get the same answer for parts b and c, but not for a. I know I'm probably just doing something silly along the way, but I can't find my mistake... Homework Statement...

Suppose I had a uniformly charged sphere of some density, inside this sphere at some position there is a cavity of some radius. If I wanted to then find the Electric field somewhere, like say the surface of the sphere, how would I approach the problem? Heres what I did. I pretended the cavity...

Here's the question: A sphere has a charge distributed throughout it such that the charge density goes as p(r)=Ar^(1/2). A=0.0200C/m^(7/12). The sphere has a radius of 2.00m, determine the electric potentioal at 3.00m from the center of the sphere? well I got the charge density which is...

How do I calculate Electric forces when objects are dangling from insulated wire. For example Neutral metal sphere A, of mass 0.10kg hangs from an insulating wire 2.0m long. An identical metal sphere B, with charge -q, is brough into contact with the sphere A. The spheres repel and stelle...

ok i was flying through the homework no prob. then i hit this problem and i got an answer but i don't think its right. A uniformly charged sphere of radius R and volume charge density \rho_0 is adjacent to a uniformly charged infinite plane of surface charge density \sigma_0. the charge...

Can anyone help me with this question. A sphere is charged with electrons to -5x10^-6 C. The charge of an electron is -1.6x10^-19 C. How many electrons are there on the sphere?

Find the net force that the southern hemisphere of a uniformly charged sphere exerts on the northern hemisphere. Express your answer in terms of the radius R and the total charge Q [the "model" answer is \frac{1}{4 \pi \epsilon_0} \frac{3 Q^2}{16 R^2}] my attempt: regard two hemispheres...

I'm trying to find the dipole moment of a non-uniform surface charge distribution on a sphere of radius a: The surface charge distribution is: \sigma = \sigma_{0} cos \theta where theta is the polar angle. Here is what I did: \vec{p} = \int\vec{r}\sigma dA = \int r \sigma_{0} cos...

A negatively charged sphere is brought near an uncharged metal object. Positive charges appear on the side of the uncharged metal object nearest to the charged sphere, negative charges on the opposite side. http://140.247.57.206/galileo/lgm/pi/CT_images/l5b.2.gif I don't understand how the...

Why does a uniformly charged sphere that oscillates between two radii at a certain frequency not radiate power? Thanks

Lets say I have a sphere of uniform charge, and a hole was removed any where within the sphere, would Gauss law be usless and I would have to go with superpostion? And I'm wondering how to set the integral in either case. Thanks Philip

I need to calculate the electric field both inside and outside a sphere with a charge density p. The trick is I am required to use Coulomb's Law. I cannot appeal to Gauss' Law. My instructor suggests considering the electric field due to a ring of charge. Then to use that result to find...

"compression" of an electrostatic charged sphere Everytime i propose a new motion machine from my ignorance or misunderstunding of physics, your explanations solve some questions, but open new others: I proposed a system that acumulated electrons on a sphere surrounded by an electrons...