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
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...
the charge on a body can be distributed throughout the entire volume only if the body is non-conducting,and the charge on a conducting body can reside only on the surface. I'm confused , why?
Homework Statement
A conducting coil of 1830 turns is connected to a galvanometer, and the total resistance of the circuit is 41.0 . The area of each turn is 4.70 10-4 m2. This coil is moved from a region where the magnetic field is zero into a region where it is nonzero, the normal to the...
hey sorry for the prolific posting but exam's are coming up and I'm just working through past papers.
two conducting parallel plates have uniform uniform current densities flowing through them parallel to their surface. Use Ampere's Law to find the magnetic field inside and outside the...
Homework Statement
I am a bit stuck with how to approach this questions;
"A thin conducting spherical shell of radius a carries a charge q. Concentric with this is another spherical shell of radius b>a carrying a net charge Q. Describe how the charge is distributed between the inner and outer...
Diffraction by a perfectly conducting cylinder using UTD?!
Hi all,
Does anybody know the equations needed to predict the diffraction of electromagnetic waves by a perfectly conducting cylinder using UTD?
I want to use these equations in ray tracing.
I tried to read some papers and a book...
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
Three conducting spheres of radii a, b and c, respectively, are connected by negligibly
thin conducting wires as shown in figure 4. Distances between spheres are much larger
than their sizes. The electric field on the surface of the sphere of radius a is measured to
be...
Homework Statement
10C of charge are placed on a spherical conducting shell. A -3C point charge is placed at the center of the cavity. The net charge in coulombs on the inner surface of the shell is...
A. -7
B. -3
C. 0
D. +3
E. +7
Homework Equations
\oint \vec{E}\cdot d\vec{a}...
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
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...
Homework Statement
A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It carries charge per unit length + \alpha , where \alpha is a positive constant with units of C/m. A line of charge lies along the axis of the tube. The line of charge has charge per unit...
Homework Statement
Suppose a point dipole is located at the centre of a grounded spherical conducting shell. Find the potential and electric field at points inside the shell. (Hint: Use zonal harmonics that are regular at the origin to satisfy the boundary conditions on the shell.)Homework...
Homework Statement
Consider a conducting spherical shell with inner radius 0.8 m and outer radius 1.3 m. There is a net charge 3 μC on the shell. At its center, within the hollow cavity, there is a point charge 3 μC.
Determine the flux through the spherical Gaussian surface S, which has a...
Homework Statement
A point charge is at the center of a conducting hollow sphere, with radius 0.011m, that is within another conducting hollow sphere of radius 0.041m. The point charge is Q0=+4.30e-6 C, the inner sphere has a net charge of Q1=-1.70e-6 C, and the outer sphere has a net charge...
Homework Statement
A charge Q is placed at height b abouve a plane horizontal conducting slab.
Write down the electric field, E(r), at a general point r above the slab (taking the point r=0 to be the point on the slab directly beneath the charge), and show that it satisfies the...
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...
This is just a quick conceptual question.
If you have a charge on the surface of a conductor, and the gaussian surface within that has a cavity containing a positive charge... and you move that charge off-center, does that affect the charge distribution on the surface of the conductor?
Homework Statement
Three thin (but finite thickness) concentric conducting shells have radii R1 < R2 < R3 and charges -2Q, +Q, and +3Q respectively, where Q is some positive number. What is the charge on the inner surface of the outmost shell?
Homework Equations
Charge on a conductor...
Homework Statement
A metal bar of mass m slides frictionlessly on two parallel conducting rails a distance l apart. A resistor R is connected across the rails and a uniform magnetic field B , pointing into the page , fills the entire region.
a) If the bar moves to the right at speed v, what...
Hello guys,
I'm having some trouble getting my head around the method of images, partly due to confusing notes and things.
If I have a charge +q at a fixed point (0,0,a) above a conducting plane that is held at zero potential, it is said that the plane can be replaced with a charge of -q...
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...
Homework Statement
2 conducting spheres with radii 2 & 3m are connected with a conducting rod of thickness 0.1m & length 0.5m. 500C charge is put on the 2m radius sphere.
Find the amount of charge on each sphere & on the rod.
Homework Equations
The Attempt at a Solution
By...