Let's say that an electron is moving with constant velocity through a magnetic field. If the magnitude of the field is the same everywhere in space and if it is perpendicular to the velocity of the particle everywhere, the electron will follow a circular path. We all know that. What I need to...
Homework Statement
I we know the eigenstates of the system be |\psi_1\rangle and |\psi_2\rangle. Current state of the system is
|\Psi\rangle = c_1 |\psi_1\rangle + c_2 |\psi_2\rangle
Try to find the expectation value of electric dipole moment \mu (assume it is real) and write it in...
Homework Statement
r-bond length (in anströms)
q-charge (in debyes)
CO2 r(CO)=1.1867 q(C)=1.1352 q(O)=-0.5676
angle between them is 120 deg
Homework Equations
The Attempt at a Solution
I know I have to make vectors and then add them, but I don't know how to make the vectors. I...
Homework Statement
What is the dipole moment for the following charge arrangement?
(Please view attachment)
http://img378.imageshack.us/my.php?image=dipoleal6.jpg"
http://img378.imageshack.us/my.php?image=dipoleal6.jpg
Homework Equations
p = \int r' \rho (r) d \tau '...
Homework Statement
A dipole of moment p is lined up with the z-axis at the origin of coordinates. A second dipole of moment p is at the point (a,0,a) and is pointed towards the origin. What is the force on the second dipole?
Homework Equations
p = \int r' \rho (r) d \tau '
The...
Homework Statement
An electric dipole moment, vector P, is initially pointing in the directio of a uniform electric field, vector E (say, in the positive x direction). How much external work is needed to turn the dipole by 90 degrees?
Homework Equations
vector P is directly...
What is the nature of magnetic dipole radiation?
Does a rotating bar magnet give rise to electromagnetic radiation(magnetic dipole radiation to be more specific)??
I am wondering if there is a source of the magniude of the Dipole moments of all the planets and the sun, m.
m(earth) is 8*10^22 A*m^2.
The Magnetic Field and the Electric Field such that:
Br = Mu0/4/pi*2*m*cos(Theta)/r^3
Btheta = Mu0/4/pi*m*sin(Theta)/r^3
Mphi = 0
Er =...
I have a very basic beginners question in physics and was wondering where to post it.
The post is going to be:
TITLE
What is the difference between an electric dipole and a capacitor ?
I am a trying to understand the difference between an electric dipole and a capacitor. The wikipedia...
Homework Statement
what is the potential 18 cm from a dipole moment 2.6nCm at
a) 42 deg to axis
b) on the perpendicular bisector
note: dipole separation << 18cm
Homework Equations
electric dipole moment, p = qd where q is charge, d is distance
electric potential for point...
I'm seeking some clarification on a topic found in Jackson 'Classical Electrodynamics' Chapter 5. This deals with the magnetic field of a localised current distribution, where the magnetic vector potential is given by
\vec{A}(\vec{x}) = \frac{\mu_0}{4\pi}...
Hi,
Is dipole operator symmetric or antisimmetric? Or, in other words, do the transition dipole moments from state 1 to the state 2, and from the state 2 to the state 1 have different sign? I.e.
mu_12 = - mu_21.
As far as I understand, the diagonal elements for the dipole operator...
there is a +q and -q on the x-axis. the +q is L/2 in the negative direction and the -q is L/2 in the positive directions. the distance between the two charges is L. there is a test charge P on the y-axis a distance r from both charges.
we had to find the electric energy stored in the dipole...
An electric dipole in the x-y plane consists of two opposite charges with magnitudes of 2uC placed 10cm apart. The dipole is placed in an electric field of 10 N/C along the x-axis with a direction of p +45 degrees from the x axis.
1)Determine the magnitude and direction of torque on the dipole...
Currently reading over some lecture notes on Hertzian dipoles and I want to confirm my understanding on why the E-field pattern is donut shaped.
1) The Herztzian (aka. 1/2 wave ) diploe has two terminals attached to a transmission line feeder. The feeder sends RF current into the terminals...
the conservation of energy formula for a dipole
\DeltaK=-\DeltaU
(1/2)Iw^2=-(-qEDcos(theta))
(1/2)Iw^2=qEDcos(theta)
E-field going parallel to the y-axis. if the positive end of the dipole was in the first quad with angle theta from the y-axis and the negative end of the dipole was in the third...
Homework Statement
A rod of length 2L lies on the x axis, centered at the origen, and carries a line charge
density given by t=T(x/L), where T is a constant. (a) Find an expression for the electric
field strength at points on the x axis, for x>L (b) Show that for x>>L, your result has...
Hi,
I am aware that the effects of a dielectric sphere in a uniform electric field have been done in many introductory electromagnetism books.
Is anyone ware of a similar problem where the uniform electric field is replaced by a dipole field?
Would solving such a problem for the resultant...
Homework Statement
Consider a dipole:
a=50 cm
q1 = +2q on x axis
q2 = -5q on x axis
Point on x-axis where E=0,
Homework Equations
+q1/4pi(eo)x^2 = -q2/4pi(eo)(a-x)^2,
The Attempt at a Solution
algebra =
x= 50/1+ (5/2)^1/2
x = 19.37 cm from +2q
this checks as the...
Hello
Im having 2 questions
I'm investigating NIR light propagation in tissue such as the skin and my question is:
In dipole aprox: Absorption, emission and normal Raman scattering is one-photon processes. But what is Rayleigh scattering?
When light hit a small molecule the dipole...
Why isn't our Local Group's dipole for Microwave Background Radiation pointed towards the center of mass for our Local Supercluster? Clusters are suppose to be just infalling towards gravitational well of it's supercluster. http://en.wikipedia.org/wiki/Cosmic_microwave_background"
See...
Homework Statement
Okay, I totally do not understand how to derive the electric field made by a dipole or a line or a ring or etc.
Homework Equations
When finding the electric field, when you make an estimate, saying that the test charge is very far away, it should be similar to kQ/r^2...
Homework Statement
(Griffith' electrodynamics, problem 3.22): a spherical shell (radius R) carries uniform charge sigma0 on the "northern" hemisphere, –sigma0 on the "southern" one. Find the potential inside and outside the sphere, calculating coefficients explicitly up to A6 and B6...
I've run across a diagram that really is driving me crazy. The torque on a mag. dipole should be simply be τ = m X B, where B is the external field as usual.
In the image I've attached, there is a large external field, not shown, in the direction of Z which is holding the dipole in the +Z...
Homework Statement
assume that two dipoles are placed back -t0 - back along axis as shown:
((-) a (+))(( +) a (-)) ------------------x axisr is oriented between ))(( but above, a distance...
Homework Statement
Consider two dipoles with moments u1 and u2 arranged as in the following diagram. Each dipole is depicted as two charges of equal magnitude separated by a distance d. The centre-to-centre separation of the two dipoles is the distance r. The line joining the two dipole...
In Hehl's paper "general relativity with spin and torsion:Foundations and prospects",there is a sentence ," in the macrophysical limit, mass (or energy-momentum) adds up because of its monopole character, where as spin , being of dipole character, usually averages out." anybody who know the...
Hi all, I'm kind of confused right now about some concepts.
- Dipoles are essentially point charges of the same magnitude but different signs that are a certain distance away from each other, right?
-In my textbook, they were calculating a charged particle that is on the dipole axis...
Guys,
I don't quite understand the concept of magnetic dipole moment as a vector.
Suppose we have a magnet (like a rod) in 3 dimensional space. North pole at (0, 0, 0) and South pole at (0, 1, 0).
How would the magnetic dipole vector \vec{m} be oriented?
Thanks.
1. Problem
Evaluate
\int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} z^{2} e^{-A \sqrt{x^{2}+y^{2}+z^{2}}} dxdydz
2. Useful Formulae
none
3. Attempt at Solution
Well, this is part of a much larger problem. I am trying to compute the dipole moment matrix elements...
[SOLVED] Griffiths 5.58
Homework Statement
A uniformly charged solid sphere of radius R carries a total charge Q, and is set spinning with angular velocity \omega.
What is the magnetic dipole moment of the sphere.Homework Equations
The Attempt at a Solution
The magnetic dipole moment of a...
[SOLVED] Griffiths dipole moment
Homework Statement
On page 244 of Griffiths E and M book, Griffiths defines the magnetic dipole moment as
\vec{m} = I \int d\vec{a} . Then in problem 5.58, he asks us to calculate the dipole moment of a uniformly charged spinning solid sphere. How is that...
Homework Statement
An electric dipole is located at a certain distance from a grounded plane. What force does the dipole exert on the plane?
(The answer is to be expressed as an equation. No data were given, only the above text)
Homework Equations
I am not sure about this, but the course is...
Homework Statement
A detector hjaving a radius 10 cm is placed 1 m away from an electric dipole. What fraction of total solid angle does the detector cover and what fraction of total dipole power does it detect (assuming 100% detection efficiency)
2. The attempt at a solution
I drew the...
[SOLVED] Pure/Physical Dipole?
Hi,
In the Griffith's book page 154 is two pictures showing pure and physical dipoles. It also writes about these in previous pages but i do not get the point! i mean what is the big deal in the difference between them? Why should Griffith's pay this much...
[SOLVED] Griffiths torque on a dipole
Homework Statement
This question refers to Griffiths E and M book.
In the sentence after equation 4.5, Griffiths says the following:
"For a perfect dipole of infinitesimal length, Eq 4.4 gives the torque about the center of the dipole..."
What is...
Homework Statement
Show that the magnetic dipole moment M of an electron orbiting a proton nucleus of a hydrogen atom is related to the orbital angular momentum M=(e/2m)L
Homework Equations
M=NIA, Torque =MB, F=qvB=v^2/r, L=Iw=mrv=rp (where p=mv)
N=1 in this case I assume?
The...
[SOLVED] Electric Dipole
Homework Statement
I have an carbon atom polarized so it is essentially a physical dipole. I know the spacing between the "two charges" and I know what the charges are. I need to determine the potential difference across the polarized atom.
Homework Equations...
Homework Statement
Homework Equations
The Attempt at a Solution
I am not sure what to do with the -4q.(did something with this)
I was thinking of ignoring it, and treating it like if it is really far away, however since it is only twice the distance from the origin as the two +q charges, i...
I am having some trouble starting this one.
http://img301.imageshack.us/img301/8080/79432817ke4.jpg
Im not sure if I am supposed to replace the psi(v) with some ground state harmonic oscialltor function or not. If so, do I then just take the integrals and then divide 1 to 2 by 0 to 1 to...
Homework Statement
In a xy-plane, we have a +q charge in A(0,h) and a -q charge in B(0,-h).
Let's take a field line passing through A, that has horizontal slope in A. Find the point C(m,0) where this field line intersects the X axis.
Homework Equations
I think Gauss' law \epsilon_0...
!dipole!
Okay. So I am trying to do this kind of the old fashioned way. I broke the E's down into x and y component and am adding them together component-wise.
I have found that the x components cancel out. Now I am trying to widdle down the form I have for the y components. As of...
[SOLVED] Electric Field due to a Dipole
Homework Statement
The figure shows two charged particles on an x axis: -q=-3.20(10^{-19})C and q=q=3.20(10^{-19})C. They are both a horizontal distance of 3 m from the y axis. What are the magnitude and direction of the net electric field produced at...
A needle suspended from a string hangs horizontally. The electric field at the needle’s location is horizontal with a magnitude 3.7*103 N/C and is at an angle of 30° with the needle. There is no net electrical force acting on the needle, but the string exerts a torque of 3.7*10-3 to hold the...
There is a dipole moment that is symmetric along a y-axis and is along an x-axis. A charge -q is placed a distance a along the -x direction and a charge +q is placed a distance a along the +x direction, making the distance between the 2 charges 2a. I'm supposed to show that the electric field...
There has been some dispute in the past about the validity of the electric current model of a magnetic dipole producing a force \nabla (\vec{m}\cdot\vec{B}) versus the magnetic pole model producing (\vec{m}\cdot \nabla)\vec{B} (see e.g. Boyer `87). I think for elementary particles this dispute...
Homework Statement
An electric dipole of moment p is placed at a distance r from a point charge +q. The angle between p and r is phi. Show that the energy of interaction between the dipole and the charge is -pqcos(phi)/4\pi\epsilon0r^2
Derive equations for
a)a radial force on the dipole
b)a...
Homework Statement
For \Deltal = 0 the transition rate can be obtained by evaluating the electric dipole matrix elements
given by
\vec{I} = \int \Psi^{*}_{1,0,0} (e \vec{r}) \Psi_{2,0,0} d\tau
Homework Equations
The Attempt at a Solution
I've got the two wave functions...
Homework Statement
A small object with electrc dipole moment \overrightharpoonup{p} is placed in a nonuniform electric field \overrightarrow{E} =E(x)\hat{i}. That is, the field is in the x direction and its magnitude depends on the coordinate x. Let \theta represent the angle between the...