The electric dipole moment is a measure of the separation of positive and negative electrical charges within a system, that is, a measure of the system's overall polarity. The SI units for electric dipole moment are coulomb-meter (C⋅m); however, a commonly used unit in atomic physics and chemistry is the debye (D).
Theoretically, an electric dipole is defined by the first-order term of the multipole expansion; it consists of two equal and opposite charges that are infinitesimally close together, although real dipoles have separated charge.
Homework Statement
E-field at (2[m], 30⁰, 90⁰) is E = 4aѳ [V/m]. Find the magnitude and direction of the dipole moment p.
Homework Equations
I know that I need I need to solve for the equation: p = Qd, where Q is the point charge at the given point and the distance between +Q and -Q, which...
Firstly, I apologise if this is in the wrong place as it's not a homework question as such, but it is part of coursework.
I am modelling the trapping and cooling of an atom with a laser, and have an equation for the dipole moment which I think may be off. I am getting strange results (slowing...
Homework Statement
A circular coil having 20 turns and a radius of R = 12.8 cm carries a current of 2.70 A. It is placed in a uniform magnetic field of 60.0 mT. The initial angle between the magnetic moment of the coil μ and the magnetic field B is 26.0o.
1)Calculate the magnetic dipole...
May anyone help me with these questions
1 why is a dipole neutral as it completely resembles a system of two charges
2 i know probably its very advanced, but can anyone give me out a scope on wave function and its relation to energy of an orbital
3 am not sure if this is the right forum...
Homework Statement
..Is it possible to find the Magnetic Dipole Moment of a point particle with spin quantum number 2 and mass equal to that of a proton.
I'm not sure how to start this question as there's nothing on it in the textbooks I have!
Thanks
Homework Statement
The electric dipole moment of a CuSO4 molecule is 3.2 * 10^-32 (i.e. 10 raised to the power of -32)C-m. Find the separation between the copper and sulphate ions.
Homework Equations
Electric deipole moment = 2aq where 2a=separation between the two charges q and -q...
Homework Statement
Two dipoles are oriented as shown in the diagram below. Each dipole consists of two charges +q and -q, held apart by a rod of length s, and the center of each dipole is a distance d from location A. If q = 6 nC, s = 1 mm, and d = 6 cm, what is the electric field at location...
I know the definition of the electric dipole moment is given by \mu = -e x, where e is the charge of electron and x is the displacement. I am thinking a mechanics counterpart of the dipole moment. We note that in mechanics, the moment is defined as the force cross the position vector. Consider...
Homework Statement
A certain electric dipole is placed in a uniform electric field E of magnitude 20 N/C. Figure 22-59 gives the potential energy U of the dipole versus the angle θ between E and the dipole moment P. What is the magnitude of P?
Homework Equations
U=p(dot)E
The...
Homework Statement
A dipole of moment 0.50 e · nm is placed in a uniform electric field with a magnitude of 8.0 104 N/C. What is the magnitude of the torque on the dipole for each of the following situations?
(a) the dipole is aligned with the electric field
0. N · m (this is correct)...
Dipole Moment!
Ok I'm very tired because I've spent the past 50 minutes trying to figure out a problem that should take only 5. Someone please just take 2 minutes of your time to save me 20 more minutes. THis is a simple problem yet I cannot do it on my own, without my textbook and with what...
Homework Statement
Show that the electric field of a "pure" dipole can be written in the coordinate-free form
E_{dip}(r)=\frac{1}{4\pi\epsilon_0}\frac{1}{r^3}[3(\vec p\cdot \hat r)\hat r-\vec p].
Homework Equations
Starting from
E_{dip}(r)=\frac{p}{4\pi\epsilon_0r^3}(2\cos \hat r+\sin\theta...
Homework Statement
Assume that an electron of mass m and charge magnitude e moves in a circular orbit of radius r about a nucleus. A uniform magnetic field B is then established perpendicular to the plane of the orbit. Assuming also that the radius of the orbit does not change and that the...
Hi
I want to calculate the electric dipole moment of point charges along the z-axis with distances a and with the charge distribution
\varrho (\vec{x}) = q \delta (\vec{x}) - 2q \delta (\vec{x} - \vec{a}) + q \delta (\vec{x} - 2 \vec{a})
and of course \vec{a} = a \vec{e}_{z}
I...
Homework Statement
Can anyone explain why the direction of the dipole moment of an electric dipole is always taken as "from -q to +q" but not "from +q to -q"? In fact when we draw the electric lines of force we are only drawing in such a way that they start from +q and terminate at -q.Then...
Homework Statement
I'm trying to find the dipole moment of
The surface charge distribution is:
\sigma = \sigma_{0} sin 2 \theta
Homework Equations
The Attempt at a Solution
p_z=\int_{0}^{\pi}{\sigma* z* dA } = \int_{0}^{\pi}{(\sigma_0 \sin{2...
Calculate the dipole moment of a spherical shell of radius 'a' whose surface charge density is σ=σ0(1+cos(θ)). The origin is at the center of the sphere.
What I know:
1) p=∫r'*ρ*dV'
I'm having trouble understanding how to transform this equation so that I can calculate the dipole moment...
I understand a little about dipole moment. Its like a compass which aligns itself when an external field is applied.
But a little fuzzy when it comes to dipole moment of water. why is it 105 degrees. How does this come into play when they are impinged with microwaves or time varying E field.
hi I am student of graduate and want to clear the picture of MAGNETIC MOMENT of electron in my mind.can someone tell me that if an electron is moving in its orbit constituting its intrinsic spin(1/2) ho can it forms dipole moment(to poles) when place in magnetic field?and what is the difference...
a water monomer has HOH angle of 104.5 and OH length of 0.98 , partial charges are +0.4 on H and -0.8 on O. The reported electric dipole moment for this monomer is 1.86D. I tried to calculate it and got 2.3 D. The way I do it is by multiplying the distance between the center of the H-H and the...
Can someone give me a clear picture of it's physical meaning? What does a molecule having dipole moment signify? All the explanations I've seen are very hazy.
In two-level system, with external field applied, why there is no permant dipole moment? In classical point of view, dipole moment is coming from displacement of positive and negative charge. In quantum case, inside the atom, even no external field, there is certain probability for the electron...
I am learning a simple model for two-level system in which the dipole moment is written as
d = d_{12}|1\rangle\langle 2| + d_{21} |2\rangle\langle 1|
where d is the dipole moment element, "1" stands for ground state and "2" stands for excited state. For a system has the particle density be...
Help me to sort out this problem:: Prove that, "integration over[J(r)dr]=del(p)/del(t)" ... where p is the electric dipole moment ... please as soon as possible, reply me ...
Homework Statement
You have a coil of N turns, with current I through it.
It is in a magnetic field B, which causes it to feel a torque.
Give an expression for its magnetic dipole moment.
Homework Equations
The Attempt at a Solution
Well, I know magnetic dipole moment is A...
1. In an electric dipole moment, assume that both charges are positive and find the electric field "E" at point "P", assuming X>>d, where "d" is the distance between the two charges and "X" is the distance of point "P" from the center of the dipole.
I have thought a lot about it but I am very...
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
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
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...
Homework Statement
A needle suspended from a string hangs horizontally. The electrical field at the needle's location is horizontal with magnitude 3.7 x 10^3 N/C
and it's at an angle of 30 degrees with the needle. There is no net electrical force acting on the needle, but the string exerts...
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...
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.
[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
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...
Homework Statement
An electric dipole, consisting of charges of magnitude 2.60 nC separated by 7.20 µm, is in an electric field of strength 1400 N/C.
(a) What is the magnitude of the electric dipole moment?
(b) What is the difference in potential energy corresponding to dipole...
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...
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...
Homework Statement
OK I really would appreciate some help on this - just a point in the right direction would be great:
The potential due to the electron in a hydrogen atom at distance r from the nucleus is
V = kq[(exp(-2r/a) - 1)/r + (exp(-2r/a)/a]
Where k=1/(4pie0) where e0 is 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...
[SOLVED] Finding the Magnitude of a Dipole Moment
Hi there,
I'm new to posting, but I've used this forum many times to help me with my homework :) I went the "take a photo of the textbook" route (there is a picture with the problem), so I hope that's acceptable.
Homework Statement
A...
Hi I was wondering if anyone could give me info about atomic electric dipole moment at a very fundamental level (fenomenological, basic quantum), I do not seem to find it when I google =(
My Aim is just to understand van der Waals binding in solids a little bit more.
Homework Statement
A uniformly charged solid sphere of radius R carries a total charge Q, and is set spinning with angular velocity \omega about the z axis. (a) What is the magnetic dipole moment of the sphere?
Homework Equations
\vec{m} = I \int d\vec{a}
The Attempt at a...
Well I am doing a project suffice to say on electron transfer. In protein complexes it has been shown that förster equation gives pretty good results, so I am trying to understand this equation. But there seems to be not much resource on that (I think I will be buying Förster's own book...
Hi ,
I crashes myself with this problem about diploe.
Please can I have some suggestions.
Assume that the density of water is 1000 [kg/m3]
and that there are 3.34 × 1025 molecules per kg of water. (One mole of water weighs 18.0[g] since atomic weight of water is 18.0. A mole contains a...