What is Conducting sphere: Definition and 114 Discussions
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I know that metal is a "reservoir" of electrons, whereby electrons can flow out and in easily, so when conducting sphere is rubbed against metals, is there even a resulting charge on the conducting sphere?
Let's say I place a positive point charge inside a hollow conducting sphere. If we take a Gaussian surface through the material of the conductor, we know the field inside the material of the conductor is 0, which implies that there is a -ve charge on the inner wall to make the net enclosed...
It seems to me that one can obtain the required result by using just one neutral sphere and one ground wire.
Let A be the charged sphere and B be the neutral one. Initially ##Q_A=Q## and ##Q_B=0##.
put A and B in contact. As a result ##Q_A=Q/2## and ##Q_B=Q/2##.
ground B, so that ##Q_B=0##...
I am required to find the direction of the electric field on the surface of a grounded conducting sphere in the proximity of a point charge ##+q##. The distance between the center of the sphere and the point charge is ##d## and using the method of images we find that the charge of the sphere is...
Summary: Electrodynamics: Conducting Sphere cut in half to form a gap, and a charge q is placed on the first half-sphere. Find all four σ.
A sphere of radius R is cut in half to form a gap of s << R (ignore edge effects) - the first hemisphere is charged with q, and the second hemisphere is left...
After looking around a bit, I found that, considering the polar axis to be along the direction of the point charge as suggested by the exercise, the following Legendre polynomial expansion is true:
$$\begin{equation}\frac{1}{|\mathbf{r} - \mathbf{r'}|} = \sum_{n=0}^\infty...
Homework Statement
A conducting sphere has a radius of 2.25 m and carries a positive surplus charge of 35.0 mC. A protective layer of barium titanate is applied to the surface of the sphere to make it safe for laboratory workers nearby. Safety considerations dictate that the potential...
Homework Statement
3. A spherical conducting shell is placed in a time-varying magnetic field. Is there an induced current along the equator?
Homework EquationsThe Attempt at a Solution
I don't know what is the right answer. I mean...why not? Is the magnetic field is changing, there should be...
Hello, could someone help answer this question for me:
How would the path of a conducting sphere (i.e. AL) be affected as it passes through a strong uniform magnetic field orthogonal to the direction of motion.
I believe the Lenz effect/Eddy currents will create a magnetic field opposing the...
Homework Statement
A) Use Gauss's Law to derive the electric field in all space for a non-conducting sphere with volumetric charge distribution ρ=ρ0r3 and radius, R.
B) Repeat when there is a concentric spherical cavity within the non conducting sphere with radius, A.
Homework Equations...
Homework Statement
You have a conducting sphere that is in equilibrium, it has a cavity in it with positive charge +q. If you bring another charge +q2 near the outer edge of the conductor does the total surface charge on the wall of the cavity, q(int) change? There is an image attached that...
Homework Statement
Homework Equations
The Attempt at a Solution
for part ii)
a<r<b E=0
I am not sure what will be the difference between the formulas for the electric field for a<r and a>b I think the formulas will look the same:
The only difference that I can think of is that when r<a...
I got into a little debate about the nature of a problem where you put a giant solenoid around the equator of Mars to give it a magnetic field (not my idea, I like futuristic things but... there are probably better things to worry about).
Anyways, I got into a debate about the effect of the...
Hi colleagues,
I need your help to figure out some subtle theory problmes I have about this topic.
I was thinking about a system composed by a conductive sphere (not grounded) under the effect of a pont charge placed near the sphere. As I know we need two image charges to satisfy the boundary...
Homework Statement
Homework EquationsThe Attempt at a Solution
Option (a), because the potential is 0 on the surface, and potential due to point charge is positive so there must be negative charge on the surface. Since opposite charges attract each other, there is an attractive force...
Homework Statement
Consider a conducting sphere of radius ##R_1##. Inside it there is a cavity, spherical in shape, with it origin at the same point as the conducting sphere and of radius ##R_2## ##(R_1>R_2)##. Assume there is a point charge equal to ##+Q## at the origin.
Use Gauss law to...
Homework Statement
Using the method of images discuss the problem of a point charge q inside a hollow grounded conducting sphere of inner radius a.Find
(a) the potential inside the sphere
(b) induced surface-charge density
(c) the magnitude and the direction of force acting on q
is there any...
Homework Statement
A uniformly magnetized and conducting sphere of radius R and total magnetic moment m = 4\pi MR^3/3 rotates about its magnetization axis with angular speed \omega. In the steady state no current flows in the conductor. The motion is nonrelativistic; the sphere has no excess...
In free space there are two masses:
- Metallic sphere of mass M, radius R and total charge equal to 0. It has also a resistivityρ.
- Metallic sphere of mass m, radius r and charge q.
The distance between the masses is D. We can assume r <<R<<D and m<<M. The masses start accelerating until they...
Homework Statement
I uploaded the Ex. 3.2.
Homework EquationsThe Attempt at a Solution
On the spherical surface, the potential due to q'' at center is going to be constant.
q''= V0 R\kLet's say that the potential of the neutral conducting sphere is V0.
Now, to calculate the force of...
Given a charged sphere, the electric field within it is zero at every point. Why is this? Why is not merely zero only at the center? If a sphere is conducting, then its charge is all across the surface. If electric field is inversely proportional to distance from charge squared, won't the field...
Homework Statement
A point charge +q is placed outside a grounded conducting sphere of radius a. which of the following is ##not## true.
a) There is an attractive force between the sphere and the charge
b) The induced surface charge density on the sphere is not same everywhere
c) The electric...
Homework Statement
Homework Equations
None
The Attempt at a Solution
My thinking was that the positively charged sphere would repel the electrons to the far side of the neutral sphere, creating a repulsive force between the two spheres until they touch and the charge is shared.
Since the...
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...
Homework Statement
A solid conducting sphere of radius R and carrying charge +q is embedded in an electrically neutral nonconducting spherical shell of inner radius R and outer radius
9 R . The material of which the shell is made has a dielectric constant of 2.0.
Relative to a potential of zero...
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...
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...
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...
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
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...
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...
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...
just above the surface it's (kq/r^2) where r is the radius of the sphere and just below the surface it's zero, so is the electric field zero also exactly on the surface ? (as the q enclosed then will be zero since the flux is coming from the surface and not actually penetrating it)
and...
i know it s zero because of the electrostatic equilibrium, but in terms of point charges : from the charge distribution on the sphere surface if we consider 2 point charges opposite to each other in direction : it s logical that at the point in the mid distance between them the electric field...
Homework Statement
A conducting sphere with radius R is charged to voltage V0 (relative to a point an infinite distance from the sphere where the potential is zero). What is the surface charge density σ? Express your answer in terms of the given quantities and ϵ0.
Homework Equations
Electric...
Homework Statement
A charge conducting hollow sphere and a point charge with radius of sphere and distancestors between their centers
Homework Equations
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3. The atempt at a solution
I am unable to find the potential of Shere in presence of external point charge
Homework Statement
Three fixed point charges of +2 nC, −3 nC and +4 nC are located inside a thin uncharged metal spherical shell of radius R = 2 cm, as shown in the picture attached. Calculate the strength and direction of the electric field at position P, being 10 cm from the centre of the...
Homework Statement
Suppose a grounded spherical conducting shell of radius R surrounds a pointlike dipole at the center with \vec{p}=p\vec{k} Find the potential V(r,\theta) for r <= R. Hint: Use spherical harmonics regular at r=0 to satisfy the boundary condition.
Homework Equations
General...
Homework Statement
A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a...
Homework Statement
A dipole is placed next to a sphere (see image), at a large distance what is E proportional to?
3. The Attempt at a Solution or lack thereof
I'm having trouble figuring out what's happening in any variations of these. How does the dipole affect the sphere's charge...
Homework Statement
Q a) A charge is placed at a distance x from the center of a conducting sphere of radius R.Find the charge flown through the switch(from ground) when it is closed .
b) In the above question replace the switch with an ammeter .What is the reading of ammeter if charge is...
Homework Statement
Consider a solid conducting sphere with a radius a and charge Q1 on it. There is a conducting spherical shell concentric to the sphere. The shell has an inner radius b > a, outer radius c and a net charge Q2 on the shell. Denote the charge on the inner surface of the shell...
Homework Statement
Hi! Bear in mind, before shooting me down, that I'm very new to electrostatics and extremely (i.e. today) new to the method of image charges, and all my learning is dodgy book-learning and not learning from asking the learned questions.
This said, I just want my...
Homework Statement
A point charge of 10 coulombs is placed at a distance d= 20cm from the centre of an earthed conducting sphere of radius a= 5cm.Find ① The maximum surface density of charge induced on the sphere. ② The force of attraction on the point charge ③ The Sphere is now Insulated...
So here we are talking about solving this problem by method of images.
The approach taken by most of electrodynamics textbooks is as follows:
"If we wish to consider the problem of an insulated conducting sphere with total charge Q in the presence of a point charge q, we can build up the...