In electromagnetism, there are two kinds of dipoles:
An electric dipole deals with the separation of the positive and negative charges found in any electromagnetic system. A simple example of this system is a pair of electric charges of equal magnitude but opposite sign separated by some typically small distance. (A permanent electric dipole is called an electret.)
A magnetic dipole is the closed circulation of an electric current system. A simple example is a single loop of wire with constant current through it. A bar magnet is an example of a magnet with a permanent magnetic dipole moment.Dipoles, whether electric or magnetic, can be characterized by their dipole moment, a vector quantity. For the simple electric dipole, the electric dipole moment points from the negative charge towards the positive charge, and has a magnitude equal to the strength of each charge times the separation between the charges. (To be precise: for the definition of the dipole moment, one should always consider the "dipole limit", where, for example, the distance of the generating charges should converge to 0 while simultaneously, the charge strength should diverge to infinity in such a way that the product remains a positive constant.)
For the magnetic (dipole) current loop, the magnetic dipole moment points through the loop (according to the right hand grip rule), with a magnitude equal to the current in the loop times the area of the loop.
Similar to magnetic current loops, the electron particle and some other fundamental particles have magnetic dipole moments, as an electron generates a magnetic field identical to that generated by a very small current loop. However, an electron's magnetic dipole moment is not due to a current loop, but to an intrinsic property of the electron. The electron may also have an electric dipole moment though such has yet to be observed (see electron electric dipole moment).
A permanent magnet, such as a bar magnet, owes its magnetism to the intrinsic magnetic dipole moment of the electron. The two ends of a bar magnet are referred to as poles—not to be confused with monopoles, see Classification below)—and may be labeled "north" and "south". In terms of the Earth's magnetic field, they are respectively "north-seeking" and "south-seeking" poles: if the magnet were freely suspended in the Earth's magnetic field, the north-seeking pole would point towards the north and the south-seeking pole would point towards the south. The dipole moment of the bar magnet points from its magnetic south to its magnetic north pole. In a magnetic compass, the north pole of a bar magnet points north. However, that means that Earth's geomagnetic north pole is the south pole (south-seeking pole) of its dipole moment and vice versa.
The only known mechanisms for the creation of magnetic dipoles are by current loops or quantum-mechanical spin since the existence of magnetic monopoles has never been experimentally demonstrated.
The term comes from the Greek δίς (dis), "twice" and πόλος (polos), "axis".
Hi,
I wasn't sure if this is more Physics/Astro or chemistry because its actually all 3.
i've got some conceptual issues with some tasks at hands, and was wondering if anyone could clear that up for me.
(These questions are all regarding molecules)
1) How do you create a potential energy...
Homework Statement
A magnetic dipole m is moved from infinitely far away to a point on the axis of a fixed, perfectly conducting (zero resistance) circular loop of radius a and self-inductance L. In its final position the dipole is oriented along the axis of the loop and is a distance z from...
Homework Statement
Suppose a grounded spherical conducting shell of radius R surrounds a pointlike dipole at the center with \vec{p}=p\vec{k} Find the potential V(r,\theta) for r <= R. Hint: Use spherical harmonics regular at r=0 to satisfy the boundary condition.
Homework Equations
General...
Homework Statement
"A molecule has its dipole moment aligned with a 1.8 kN/C electric field. If it takes 3.5x10^(-27) J to reverse the molecule's orientation, what is its dipole moment?"
Homework Equations
Potential energy of dipole in an electric field
U = -p*E = -p*E*cos(theta)
U...
Two electrons, they have their electric fields and magnetic dipole moments. Their electric field is proportional to 1/r^2, and electric force is also proportional to 1/r^2.
http://en.wikipedia.org/wiki/Magnetic_dipole%E2%80%93dipole_interaction
However, their magnetic dipole field is...
I'm going to explain my understanding about a bit of a contradiction I can't resolve, and I was hoping somebody could help me understand it. Sorry about the bombardment of vector components!
There appears to be two methods we can use to calculate the force (effectively the same in fact, but...
Homework Statement
An electric dipole with -q at the clouds of height h, and +q beneath the surface with height -h.
Given q=200 C, and h=6000m
Electric discharge occurs with electric field of 3000 V/m near ground level, and 200 V/m above the clouds.
Find the ranges where discharges are...
In one moment in time you have a charge going about in a circle of radius r. in another moment in time the charge goes in the same circle but faster, where Δv is the difference in speed. i want to find the change in the magnetic dipole moment Δm.if magnetic dipole moment m=IA (assuming uniform...
Hi, I have been trying to get the expression for the transition dipole moment of hydrogen but I am not able to get the expression. Hope someone can help me with that.
I want to evaluate \vec{d}(v)=<v|\hat{r}|0> where v is the free state and 0 is the 1s wave function for hydrogen...
Homework Statement
An electric dipole consists of a pair of equal but opposite charges, +Q and -Q separated by a distance d. What is the electric potential at the point that's midway between these source charges?
Through using the formula electric potential = kQ/r, I found the electric...
Hi all,
Just a quick theory based question regarding the Zeeman Effect.
The effect of the applied magnetic field in the Zeeman effect separates the possible angular momentum states (each of which has a magnetic dipole associated with it) into different energy levels. However, if the...
I just wanted something to play with so I thought of this problem and solved it but now I have questions about it.
Consider a charged particle with charge q and mass \mu which is constrained to move on the surface of a sphere of radius R. There is a magnetic dipole with moment \vec m=m \hat z...
When the dipole makes an angle with an electric field, its potential energy is given as the work done in bringing the dipole from the position, when it is aligned with the electric field direction, to a desired position, i.e
W = pE [-cosθf -(-cosθi)] ...eq(1)
p = moment of the dipole...
I'm developing a classical model of a dipolar ion in an external electric field. It consists of two charges ##\delta_+## and ##\delta_-##, located at a fixed distance from each other. For the special case I'm considering, I end up with the potential energy
$$
(\delta_+ + \delta_-)...
So, I've got a charge distribution given by:
\begin{equation}
\rho(r,\phi,z)=\frac{q}{2\pi R}\delta(r-R)\delta(z)\cos(2\phi)
\end{equation}
This, if I'm not mistaken, translates into a circular charge distribution located in the z-plane, a distance R from origo.
Thus
\begin{equation}...
In a dipole, p = qd is the dipole moment. q is the magnitude of either charge, while d is the distance of separation. I was just wondering what differences in properties would be evident if both charges in the dipole were not the exact negatives of each other. For example, if you have a positive...
Homework Statement
I have a dipole in the electric field of a parallel plate capacitor. The plates are circles with radii r and they are at plus or minus d on the z axis. The coordinate system thus has the origin directly below/above the centres of the plates with x and y axes. I have to...
I've been trying to answer the following question, without success. Can someone help me here?
A \lq\lq pure \rq\rq dipole is located at the origin and is directed to the +z-axis. a)Calculate the force on a point charge q at (0,a,0). b)Calculate the force on q if it is at (a,0,0). c)Calculate...
The PE of an electric dipole in an external E-field is
U=-p.E
where p is it's dipole moment.
I was under the impression I could find U, and then easily determine the force on the dipole using F=-∇U, to obtain
Fx=px∂Ex/∂x+py∂Ey/∂x+pz∂Ez/∂x
Fy=px∂Ex/∂y+py∂Ey/∂y+pz∂Ez/∂y...
P.W. Anderson in his essay "more is different" said that:
"no stationary state of a system has an electric dipole moment". He used an example of NH3 to illustrate that. I then checked online and found that, Chemists said there is dipole moment in NH3 molecule, but (nuclear) physicists claim...
From what I have been learning recently, a dipole is a separation of electric charges and in chemistry, a dipole refers to the separation of charges within a molecule between two covalently bonded atoms (which is caused from one atom having a higher electronegativity) What I don't understand is...
Homework Statement
The Earth's magnetic dipole moment is 8.0 x 1022 A m2.
(a) What is the magnetic field strength on the surface of the Earth at the Earth's north magnetic pole? You can assume that the current loop is deep inside the earth. 6.17e-5 T
(b)How does this compare to 5.0 x...
Homework Statement
The ammonia molecule (NH3) has a dipole moment of 5.0×10−30C⋅m. Ammonia molecules in the gas phase are placed in a uniform electric field E⃗ with magnitude 1.0×106N/C.
What is the change in electric potential energy when the dipole moment of a molecule changes its...
In "An Introduction to Electrodynamics", Griffiths gives the following equation for the dipole moment: p=\int r' \rho(r') d\tau'. My question is, in general, what volume am I integrating over? It seems a bit arbitrary to me. I assume I'm integrating over whatever volume is enclosing the charge...
Homework Statement
An electric dipole has opposite charges of 6.55⋅10−15C separated by a distance of 0.65mm. It is oriented at 54.0° with respect to a uniform electric field of magnitude 10.0⋅103N/C. Determine the magnitude of the torque exerted on the dipole by the electric field...
2 particles of charge q are placed at 2 vertices of an equilateral triangle of side a. An electric dipole is placed at the third vertex with its dipole moment orientated parallel to the opposite side of the triangle.
a) Determine the magnitude of the torque on the dipole due to the electric...
Homework Statement
Two identical permanent dipoles, each consisting of charges ##+q## and ##-q## separated by a distance ##s##, are aligned along the ##x## axis, a distance ##r## from each other, where ##r >> s.##
a. How many external forces act on each dipole?
Homework Equations...
Does anyone know how to calculate the magnetic field or flux of a uniformly moving magnetic dipole with magnetic dipole moment \vec{M} pointing along the direction of motion?
Thanks
Homework Statement
Build the lagrangian of a set of N electric dipoles of mass m, length l and charge q.
Find the equations of motion.
Find the corresponding difference equations.
Homework Equations
Lagrange function
L=T-V
Lagrange's equations
\frac{d}{dt}\left(\frac{\partial L}{\partial...
I just wondered how I transform electromagnetic dipole moments.
For example assuming I have magnetic dipole moment μ in a frame without E dipole moment. Then I boost orthogonal to μ. Now I would like to determine the electric dipole moment.
I could use the magnetic potential and transform...
This problem is originally from Wopho and its goal is to describe the trajectory of a point mass charge around a dipole.
http://img18.imageshack.us/img18/2676/fvac.png
First we have to calculate the radial and tangential electric fields made by the dipole (this I've done as well) but...
I have a dipole such as:
\rho(\vec{r}) = q \delta(\vec{r} - \vec{a}) - q \delta(\vec{r} + \vec{a})
with \vec{a} = a \vec{e}_x.
I have to show that the energy in a constant external field \vec{E} is:
V = - 2 q \vec{a} \vec{E}
My calculations so far:
With the formula...
Hello,
I have this matrix element
\langle n', l', m'| x |n, l, m \rangle
where x=rsin\theta cos\phi in spherical polars
Which I write explicitly as:
=\int \int \int R_{n', l'} R_{n, l} A_{l', m'} A_{l, m} P^{m'}_{l'} P^{m}_{l} e^{im\phi} e^{-im\phi} rsin\theta cos\phi r^{2} sin \theta d...
Hi,
I an reading an interesting chapter of Feyman where he explains the basis of light-matter interaction with wave theory: http://cua.mit.edu/8.421_S08/Reading/Feyman_refr_index.pdf
I didn't understand there one thing... to explain it he says that all the dipoles on the plate ''feel''...
Homework Statement
1. A wire of length L and carrying current I is bent into a square loop to form a magnetic dipole. This dipole is then oriented in a uniform magnetic field of magnitude B such that the dipole is in its lowest energy state. What is the value of the dipole's energy with this...
I had to clear this up since there were many threads with the wrong analysis of this problem. Lone pair electrons DO have and affect on dipole moments.
Lone pair electrons do have an effect on the net dipole moment of a molecule. A dipole moment is the product of the magnitude of the partial...
Hi,
I know that to receive or inject a signal into a rectangular waveguide (I'll just call it a waveguide from now on with the assumption that I mean rectangular waveguide), you can get a dipole of some sort, and poke it into the waveguide.
What I'm wondering about is, if I got a dipole...
Homework Statement
A point charge, Q, is "nailed down" on a table. Around it, at radius R, is a frictionless circular track on which a dipole \boldsymbol{p} rides, constrained to always point tangent to the circle. Show that the electric force on the dipole is (in the forward direction of the...
Homework Statement
The z component of the magnetic dipole moment due to the spin of an electron about its axis is μz = +/- eh/4∏m, where h = 6.63 x 10-34 J s is Planck's constant. A) If μz is parallel to a magnetic field of 10 T, how much energy in electron volts must be supplied to reverse...
Homework Statement
A dipole is centered at the origin, and is composed of charged particles with charge +e and -e, separated by a distance 7 ✕ 10-10 m along the y axis. The +e charge is on the -y axis, and the -e charge is on the +y axis. A proton is located at <0, 3 ✕ 10-8, 0> m. What is the...
imagine a door shaped circuit in the between a south and north pole
such that the long sides are perpendicular to the magnetic field created by the magnet , now
in my physics book , it says that the torque that rotates the door is equal to B * Md where Md is the magnetic dipole moment which...
Homework Statement
Consider an electric dipole in the attached document. At point P, the fields E+ due to q+ and E- due to q- are:
E+ = kq/(r-a)2, E- = -kq/(r+a)2
Then total field at P is:
E = E+ + E- = kq [ 1/(r-a)2 - 1/(r+a)2] y-hat
Homework Equations
See question 1.
The...
Homework Statement
Dear all, Good day.
I am currently working on the phase field modeling of ferroelectrics. For this reason, I need to find functional derivative of an expression as presented in attached picture 1.
Then in picture 2, it shows the final form of equation that I am...
Homework Statement
I'm going over some EM notes and I found a derivation for the potential energy of a dipole in an E field which first found the torque on the dipole and then integrated.
I had a go at a derivation that goes the other way, starting from the potential of the 2 charges. I've ran...
Homework Statement
A thunder cloud can be loosely modeled by two point charges -q and q at heights h and d above the Earth's surface with d > h. Model the Earth's surface as a conducting plane at z=0.
Sketch the Electric field lines (on a plane perpendicular to the earth). Indicate the...
Consider we have a \Lambda type three level system, the one upper level is denoted by 3, and the two lower levels are denoted by 1 and 2. Assuming that the transitions between 1\leftrightarrow3 and 2\leftrightarrow3 are dipole alowed, while the transition between two lower states 1 and 2 is...