How exactly do conductors conduct electrons?
I'm confident with Maxwell's equations and I can accept a classical treatment like
\sigma=\frac{nq^2\tau}{m}
where \tau is the scattering rate. So actually I'd like to know what exactly happens with the electromagnetic fields when a voltage...
A conducting loop around a magnetic field contains two light bulbs. as shown int the figure. The wires connecting the bulbs are ideal. The magnetic field is increasing rapidly.
A. Do the bulbs glow? why or why not?
B. If they glow, which bulb is brighter? or are they equally bright? explain...
When a charge is applied to a conducting sphere and connected to another conducting sphere by an ideal thin wire (infinite distance apart), the potential at the surface of each sphere is the same.
However, that means (for spheres of different radii) that the charge density on each sphere...
Homework Statement
Link to assignment
The fact that it is imperfectly conducting is supplied so that the charges in the sphere will move with the same angular velocity.
The B-field induced by the moving charges will be disregarded.
Homework Equations...
I have a problem, to do with conductor in a magnetic field. The question says to find the length of the conducting armature with the magnetic flux.
I was planning on using the formula F= BIL. I have alright calculated the flux density and got the current, however the force is not given so I...
Was curious how some of you guys would solve this problem...
Three conducting spheres of radii a, b and c are connected by negligibly thin conducting wires. Distances between the spheres are much larger than their sizes. The electric field on the surface of a is measured to be E_{a}. What is...
Homework Statement
A solid conducting sphere carrying charge q has radius a. It is inside a concentric hollow conducting sphere with inner radius b and outer radius c. The hollow sphere has not net chare. a) Derive expressions for the electric field magnitude in terms of the distance r from...
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...
1.Two plates placed a distance "D" apart. One charged +Q, the other -Q. An uncharged slab of metal is placed between the plates.
2. Does this slab change the electric field outside or between the plates (but outside the slab)? Do forces exerted on particle sitting between the plates (but...
Homework Statement
Consider a solid conducting sphere with a radius 1.5 cm and charge -4.4pC on it. There is a conducting spherical shell concentric to the sphere. The shell has an inner radius 3.7 cm and outer radius 5.1 cm and a net charge 27.4 pC on the shell.
A) denote the charge on...
Homework Statement
This is a Problem 7.7 fom Griffiths Introduction to Electrodynamics (3ed)
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 page...
Homework Statement
9. Two identical conducting spheres, fixed in place attract each other with an electrostatic forces of 0.108 N when their center-to-center separation is 50.0 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each...
Homework Statement
A thin, spherical, conducting shell of radius R is mounted on an isolating support and charged to a potential of -V. An electron is then fired from point P at a distance r from the center of the shell. (r>>R) with an initial speed v_0 and directly towards the shell's...
Homework Statement
Part A:
At a distance of 0.192 cm from the center of a charged conducting sphere with radius 0.100 cm, the electric field is 445 N/C. What is the electric field 0.614 cm from the center of the sphere?
Part B :
At a distance of 0.212 cm from the axis of a very long...
Homework Statement
A long, straight conducting wire of radius R has a nonuniform current density J=J0*r/R, where J0 is a constant. The wire carries total current I.
Find an expression for J_0 in terms of I and R.
Find an expression for the magnetic field strength inside the wire at radius r...
I was wondering what the energy density of superconducting coil/tape is. I essentially what to be able to say is for every centimeter or inch of this material this is the amount of energy could be in it (kW, kWh, etc). So the background; I would like for the parameters to be for...
Homework Statement
Two conducting spheres of the same size have charges q1=-4x10^-6
and q2 = 8x10^-6C,and their centers are separated by 3.0cm
a) what is the force between them?
b) what would be the force if the spheres were touched together and again separated by the same distance...
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
Two hollow concentric conducting spheres hold charges Q[1] and Q[2] as shown in the attachment.
Find the potential of each sphere, and the potential difference.
Homework Equations
Potential difference V = Phi[2] - Phi[1]
The Attempt at a Solution
I'm having...
Homework Statement
An infinite conducting sheet has a hemispherical bubble of radius a. (Refer to the diagram)
2. The attempt at a solution
ok i know the boundary conditions should be (Phi refresents the potential)
And we are working in CGS units... units with which i am not entire...
E&M: Using Laplace's Equation to solve for a conducting "slit"
Homework Statement
The set up is as follows: You have a conductor at potential 0 along the y-axis at x=0. You have another conductor at potential V=Vo running along the x-axis at y=0. You have a third conductor at potential V=Vo...
Homework Statement
a long conducting cylinder with inner radius a and outer radius b carries a current along its central axis. blah blah blah, i found the current density.
now how do i calculate the area of the cylinder with a hole in it?
is it A = pi (b-a)^2 OR is it A = pi ( (a+b)/2)^2
So I have an upcoming project that I started working on. I thought I had the foundation to actually tackle the task at hand, but now that I've started it, I realized I'm kind of weak with some fundementals. If someone would be so kind to read what I am going to type, and add to it, or tell me...
Last night my cousin and I were arguing the conductivity of water. I was taught that water is a conductor of electricity, but he claims otherwise.
So, we did a simple experiment using tap warm water, a 1.5v battery and small light bulb. It refused to conduct and the light bulb would not...
I never really understood this...
Lets say we have a positive point charge Q at the center of a spherical conducting shell of an inner radius Ri and an outer radius R0.
Now my books says that an amount of negative charge equal to -Q must be induced on the inner shell surface (R=Ri), and...
Hi,
We know that when we connect the two parallel plates to a battery it will hold a +ve charge on the plate connected to positive terminal and -ve charge on the other plate. If we only connect one plate to the positive terminal, can it be charged? Isn't the positive terminal is at a...
Two infinite conducting plates 1 and 2 are separated by a distance l. A point charge q is located between the plates at a distance x from plate 1. Find the charges induced on each plate.
I solved this problem assuming (intuitively) that a potential difference between plate 1 and 2 equals 0 and...
Hello,
I am interested if ANYONE can point a mistake in my reasoning... I am constantly getting a result that is 2X greater than the textbook derivation.
The problem is this:
We have 2 CONDUCTING, infinitely large, oppositely charged plates (far away), each with a charge distribution of...
Oh since this got moved: It's not for any course or class so I'm not following any book.
I'm not sure if anyone will be able to answer this but I'll ask anyway:
I've solved laplaces equation in cyclindrical coordinates for a disc of radius 'a' and constant potential V on the disk (disc in z=0...
I'm attempting to calculate the above, but I'm stuck.
What I have thus far:
intensity is the time average of the poynting vector, where the poynting vector is the cross product of the E and B fields.
Using the given expressions, I get:
\frac{\sqrt{a^2 + b^2}}{\mu \omega} E_0^2 \exp(-2bz)...
I've solved an electrostatics problem where we have to find the surface charge density on a conducting sphere in a previously uniform E-Field, but I had to assume that V=0 on the surface of the cylinder, and I'm not sure why this is the case. I know that E=0 inside, so the potential should be...
The question is the following one:
Two isolated conducting spheres of equal radius have charges +Q (#1)and -Q (#2) respectively. If they are separated by a large distance compared to their radius, what is the capacitance of this unusual capacitor?
The first remark :wink: : C= \frac{Q}{V}...
I am trying to calculate the current induced in a loop assuming a magnetic monopole exists. The loop is a perfect conductor, which I understand implies the electric field inside must be zero. I picture the problem with the magnetic monopole traveling with a velocity coaxial with the loop. I am...
A point charge q is a distance d from a grounded conducting plate of infinite extent (figure a). For this configuration the potential V is zero, both at all points infinitely far from the particle in all directions and at all points on the conducting plate. Consider a set of coordinate axes with...
The question is:
A conducting spherical shell of inner radius b and outer radius c is concentric with a small metal sphere of radius
a < b. The metal sphere has a positive charge Q. The total charge on the conducting spherical shell is –Q. What is the potential of the metal sphere?
I...
The question i am stuck on and am unable to find anything in my notes about (although i can't find my notes from tuesday however we seem to have covered the topic on friday and maybe just not finished it off in time) is ...
Two isolated spherical conductors one with radius R and one with...
A grounded sphere of radius 'a' is placed between point charges q1 and q2 with its centre O lying on the straight line joining q1 and q2. The distances of q1 and q2 from O are 2a and 4a respectively. Find the condition that the charge q2 experiences a repelling force.
My question:
How do I...
Imagina an incline plane of angle @. A rod of length L, is at rest( becasuse you are holding it) at the very top of the incline. A magnatice field is pointing up in your mental picture. Find the velocity v of the rod as a function of time once your let go of the rod. Two things in the problem...
Hi all,
I am having some troubles with some Electromagnetism questions. First of all can someone please explain the basics behind Electric fields. The question asks "What is the electric field around a conducting sphere of radius R carrying a charge Q". Does this imply that because the sphere...
Hello, I've been working my way through Griffiths' "Introduction to Electrodynamics" book, and I'm slightly confused by Problem 3.20. For those of you without a copy of this book, given a conducting sphere of radius R and charge Q in a uniform electric field of strength E0, what is the...
Consider a thin spherical shell of radius 14.5 cm with a total charge of +39.1 micro coulombs distributed uniformly on its surface. (Take radially outward as the positive direction.)
(b) Find the electric field 39.6 cm from the center of the charge distribution.
Round your answer to three...
Hi gang,
Here is an easy one but nevertheless requires formula to express your postion.
in terms of magnetic propulsion;
I am building a tunnel with r=5cm and a sphere inserted will be approx 8cm diameter which will be propelled via electro magnetic propulsion. I'm now about to evaluate...
In a conducting shell,with inner radius R1 and outer radius R2,and with charge Q at the centre,the Potential at surface is (kQ/R2),Why it is not (KQ/R1)?? :confused:
I need a little help with this problem. Its from the 2004 physics bowl.
50. A solid spherical conducting shell has inner radius a and outer radius 2a. At the center of the shell is located a point charge +Q. What must the excess charge on the shell be in order for the charge density on the...
Hi, i appreciate your help.
The problem reads
an isolated charged conducting sphere with radius 12cm creates an electrical fiels of 4.90^4 21cm away from the center. find the capacitance and charge density?
I used the formula
C= (a*b)/(Ke*(b-a))
but i get the wrong answer what am i...
"A solid conducting sphere with radius R carries a posative total charge Q. The sphere is surrounded by an insulating shell with inner radius R and outer radius 2R. The insulating shell has a uniform charge density \rho a) find the value of \rho so that the net charge of the entire system is...
An infinitely lond cylindrical conductor of inner radius "a" and outer radius "b" initially has a positive surface charge density of
\sigma_{o}
on its outer surface. A wire of positive charge per unit length
\lambda
is then placed on the axis of the cylinder. Find the final surface...
Here's the problem that I have been trying to solve:
A solid conducting sphere of radius 20cm is concentrically placed inside a spherical shell of inner radius 30 cm and outer radius 40cm. A Charge of 20uC is placed on the inner sphere, and a charge of -10uC is placed on the outer conductor...