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...
Rotating Conducting Cylinder in B -- Induced Voltage
[PLAIN]http://img690.imageshack.us/img690/2600/47007002.jpg
I understand how to use motional emf to solve this problem.
\int_C U \times B\, dl
U = \omega R
and
\int_C dl = H
so the answer, symbolically, is
\omega RHB
where \omega is the...
If an uncharged conductor, a metal rod say, is placed in a uniform electric field E, parallel to the field (see figure), does it develop a potential difference between its two ends?
If so, how is the potential difference related to the field E?
Homework Statement
A conducting rod is pulled horizontally with constant force F= 3.40 N along a set of rails separated by d= 0.260 m. A uniform magnetic field B= 0.500T is directed into the page. There is no friction between the rod and the rails, and the rod moves with constant velocity v=...
Hello, people, it would be great if you can answer this particular physics question.
A very long solid non conducting cylinder Radius R is uniformly charged with a Volume charge density. It is surrounded by a concentric cylinder tube of inner radius R3 as shown in Figure, and it also carries...
Homework Statement
You have two concentric conducting sherical shells. the net charge in the inner shell is -8 C and the outer shell is neutral. In the inner hollow is placed a 2C point charge. Using Gauss's Law, find the charge on all 4 surfaces of the shells.
Homework Equations...
1. An 80-cm-long wire is made by welding a 5.50 mm-diameter, 20-cm-long copper wire to a 5.50 mm-diameter, 60-cm-long iron wire. What is the resistance of the composite wire?
2. p = resistivity, R = pL/A 3. r = 0.001375 m goes into A = pi*r2. I used the above equation for R separately for the...
1. A conducting bar of length l and mass m rests at the left end of the two frictionless rails of length d in the figure. A uniform magnetic field of strength B points upward. In which direction, into or out of the page, will a current through the conducting bar cause the bar to experience a...
Homework Statement
Consider two parallel conducting wires along the direction of the z axis as shown below. Wire 1 crosses the x-axis at x = -1.10cm and carries a current of 3.50A out of the xy-plane of the page. Wire 2 (right) crosses the x-axis at x = 1.10cm and carries a current of 6.20A...
Homework Statement
Homework Equations
potential, V = kq/r where k is 1/4 pi epsilon
conservation of charge, sum of q = Q
The Attempt at a Solution
what i did is let q1 + q2 + q3 = 4*10^-4
then let V1 = V2 = V3 and solve for q3
but i end up getting q3 = 0.0002 which is...
There are two spherical hollow conducting shells, one inside the other. The outer shell has a radius 4 times that of the inner shell. There is a switch connecting the two shells, which is for the moment, open. Both shells have a positive charge (inner shell = +20nC and outer shell = +60nC...
A sphere of mass m = 0.45 kg is suspended 0.20 m above a thin sheet of charge with an area of 0.65 m2 and uniform surface charge density σ. The sphere has a uniform charge density of 4 nC/m3 and a radius of 3.2x10-3 m. You may ignore adverse field effects from the edges of the sheet of charge...
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...
Homework Statement
Consider a conductor in the shape of a hollow sphere with inner radius A and outer radius B. The sphere has a net positive charge +q.
A negative point charge of value -2q is placed at the center of the sphere (r=0). Determine the electric field in the three regions of...
Homework Statement
In the figure, r1 = 5 and r2 = 7 cm. Before the conducting spheres are connected by the wire a charge of 5×10-7 C is placed on the smaller sphere while the larger sphere is uncharged. Calculate the charge on the smaller sphere after the wire is connected. Assume that the...
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.
A charge of uniform linear density 2.20 nano Coulombs per meter is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = .0600 m, outer radius = .104 m). The net charge on the shell is zero.
a) What is the magnitude (in...
A proton is shown to pass between two parallel conducting plates across which a steady potential difference is maintained. Its path curves upwards.
An alpha particle enters at the same point with the same velocity as the proton. Add its path to the diagram. Why is it like this.
The path is...
I beg you to understand my poor Eng..
If there is any poor grammar or spelling..please correct me..
While studying MHD with "An Introduction to Magnetohydrodynamics" written by Davidson,
I encountered the term 'current density'..
As you know well, empirically,
\mathbf{J} = \sigma...
Not a homework question:
A spherical conducting shell of inner radius a and outer radius b carries a total charge of +Q distributed on the surface of a conducting shell.
http://ocw.mit.edu/OcwWeb/Physics/8-02Electricity-and-MagnetismSpring2002/VideoAndCaptions/detail/embed03.htm
If...
Quick question:
The current on a perfectly conducting plane of infinitessimally small thickness is equal to H on one side of the plane minus H on the other side, right?
Thanks!
-Matt
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
A conducting ring with radius a and mass m is placed in a magnetic field at a height H above the origin of the reference frame. The plane of the ring is parallel to the ground, that is, the normal is directed along the z-axis. The electrical resistance per unit length of...
Homework Statement
The conductor is cylindrically shaped with a radius of R. The hole on the inside is also cylindrically shaped with a radius of R/2. If a cross-section of this conductor is placed on an x-y coordinate plane, the hole would be centered on the x-axis at a distance of R/2 from...
I am an undergraduate physics student. Frankly, I'm starting to find my coursework and the typical method of read/solve problems/rinse and repeat a bit dull. While this will certainly be remedied in more advanced classes I'd like to seek out a problem to do some fundamental(original) research...
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
Two infinite sheets with surface charge density σ1 and σ2, respectively, are oriented perpendicular to the x-axis. An infinite, conducting slab of thickness a is placed between the charged sheets as shown in the figure. The conducting plate has a net charge per unit area of...
Homework Statement
Find the temperature distribution in the rectangular sheet given the following boundary conditions:
U(0, y) = U(a, y) = U(x, b) = 0; U(x, 0) = f(x)
Homework Equations
U(x, y) = (summation) B (fourier coefficient) [sin ((n*pi*x)/a) sinh ((n*pi*y)/a)]
The...
We know that the more electrons there are in the valence shell of an atom, the stronger the London Dispersion Forces are, and therefore, the compound will have a higher melting and boiling points.
But now suppose electricity is being conducted through the object. Because it will have a smaller...
Suppose they're separated by a distance d and have thickness D. One has charge Q, the other has charge -Q. Why can we assume that each of the four surface charge densities are constant?
I have three concentric metal, conducting spheres, of radii a < x < b.
The spheres a and b are fixed, while x can vary over the range from a to b.
Spheres a and b are also grounded, while sphere x is maintained at a constant potential V with respect to these two spheres.
The charge on sphere...
When working on homework problems having to do with voltage, there is often the stipulation that V=0 at infinite. If you are dealing with a spherical conductive shell with charge Q, the Electric Field E is equal to K*Q/R^2, where K is the vacuum permittivity constant and R is the radius of the...
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
An uncharged conducting slab is placed between two infinitesimally thin insulating plates with surface charge densities \sigma_1 and \sigma_2, respectively. Describe what fields are induced in the conducting slab and their magnitudes.
Homework Equations
None?
The...
...if the spheres are separated by a large distance - one with charge Q, the other with charge -Q - isn't the force between them just the same as the force between two oppositely charged point charges, since the electric field produced by one of the spheres "looks like" the field of a point...
Homework Statement
We're supposed to find the capacitance of a system of two conducting spheres, one of radius r_1 and charge Q, the other of radius r_2 and charge -Q, separated by a distance L (this is the distance between their centers) that's very large compared to either r_1 or r_2.Homework...
Homework Statement
A thin conductor plate is in free space. Its conductivity is finite and thickness is approaching zero. Relate the tangential electric field in either side of the conductor. Repeat for tangential magnetic field. How are electric and magnetic fields related.
Homework...
one conducting plate is at origin of xy plane. and +q is at distance of d from y-axis in the direction of z axis. then what is induced charge in conducting plate & how charge is distributed on plate?
Homework Statement
Here is a pretty straight forward question, i just wanted to double check my answers (in bold!)
This problem explores the behavior of charge on conductors. We take as an example a long conducting rod suspended by insulating strings. Assume that the rod is initially...
Homework Statement
tow long cylindrical conducting wire ,each of radius a and length l parallel and separated by d , and between the centers of the wires , d>>a ,and the surface charge densities is uniformly,then the total electris potential is the sum of each wire . the effect between them...
An infinite line charge lies on the z-axis with l = 2 µC/m. Coxaial with that line charge are: an infinite conducting shell (with no net charge) with thickness 1 cm and with inner radius 2 cm and outer radius 3 cm, an infinite shell with a radius of 4 cm and with a net charge of -5 µC/m, and...
Homework Statement
Two infinitely long perfectly conducting planes at x = 0 and y = 0 form a boundary on the upper right quadrant (x > 0, y > 0). A magnetic dipole m = m_x + m_y [with their corresponding unit vectors] is located at at (x', y', z' = 0) in the upper right quadrant. Find the...
Homework Statement
My picture won't upload but there is an x-y plane with point P at (5,4) and a vector shooting off from P in the SW direction. There are two wires pointing into the page (in the z plane) at (5,2) and (10,2).
Here is the actual problem:
Two very long straight...
Hello,
I have a question regarding page 241 of “Principles of Electrodynamics” by Melvin Schwartz. He is deriving the electric field inside a conducting medium as a function of position z; by summing the incident field, contributions from slices of material to the left of z, and from slices...
Homework Statement
Figure 21-36 shows four identical conducting spheres that are actually well separated from one another.
Figure 21-36
Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial...