The magnetic moment is the magnetic strength and orientation of a magnet or other object that produces a magnetic field. Examples of objects that have magnetic moments include: loops of electric current (such as electromagnets), permanent magnets, elementary particles (such as electrons), various molecules, and many astronomical objects (such as many planets, some moons, stars, etc).
More precisely, the term magnetic moment normally refers to a system's magnetic dipole moment, the component of the magnetic moment that can be represented by an equivalent magnetic dipole: a magnetic north and south pole separated by a very small distance. The magnetic dipole component is sufficient for small enough magnets or for large enough distances. Higher-order terms (such as the magnetic quadrupole moment) may be needed in addition to the dipole moment for extended objects.
The magnetic dipole moment of an object is readily defined in terms of the torque that object experiences in a given magnetic field. The same applied magnetic field creates larger torques on objects with larger magnetic moments. The strength (and direction) of this torque depends not only on the magnitude of the magnetic moment but also on its orientation relative to the direction of the magnetic field. The magnetic moment may be considered, therefore, to be a vector. The direction of the magnetic moment points from the south to north pole of the magnet (inside the magnet).
The magnetic field of a magnetic dipole is proportional to its magnetic dipole moment. The dipole component of an object's magnetic field is symmetric about the direction of its magnetic dipole moment, and decreases as the inverse cube of the distance from the object.
Say I know the total angular momentum of my electron as J. If I write the total magnetic moment as \mu = \gamma J then does \gamma = \gamma_{spin} + \gamma_{orbital} ?
Homework Statement
The oscillation period of a torsion oscillation magnetometer of T=3s can be measured with an accuracy of 1µs. Let the moment of inertia of the sample and holder have a value of J=10-6kgm2. Evaluate the accuracy with which a small magnetic moment can be determined...
Homework Statement
The PE of a magnetic moment in an external magnetic field is given by U = -u dot B. Calculate the difference in energy between the two possible orientations of an electron in a magnetic field B = .6k T
Homework Equations
The Attempt at a Solution
I realize...
hi all,
I have to determine if a magnometer is able to detect variation of a magnetic moment. I am given the following observations:
n = 2.7* 1021 (number of particles)
mu = 2*10-20Am2
detection limit = 10-19
than I am given the variance of the magnetic moment as
\sigma^2(m) =...
Does anyone have an equation that describes the magnetic moment of a solenoid that does not actually use number of turns as an input?
I'm trying to validate a solenoid I have made with something like 11000 turns, but I'm not sure how accurate my number of turns in, so I need a second input...
Homework Statement
"A particle of charge q is rotating in a circular orbit of radius r[/i with angular velocity [i]w. Determine the magnetic moment associated with the motion of the charge.
Homework Equations
Q=IT?
\vec{\mu}=I\vec{A}
The Attempt at a Solution
I know how to do it...
I've read that the properties considered intrinsic to a particle are its mass, spin, and charge. However, unless I am mistaken, both spin and charge can be determined from a particle's magnetic moment. Why are spin and charge considered to be intrinsic instead of magnetic moment then? Sorry...
Hello everyone,
I am working on producing a torque rod (basically a solenoid) for use in a spacecraft that I am working on here at University of Colorado, Boulder.
My requirement for this torque rod is to produce at least 7.7Am^2 of magnetic torque. Currently, I have made a torque rod...
why we take electrons as point particles? just because of its magnetic moment?
maybe there is something wrong with the idea of the magnetic moment of a point charge.
i appreciate if you help.
Hi,
In one part in my book they define the magnetic moment of a closed loop of current. They define it as
\overline{\mu} = I\overline{A}
with I the current in the loop and \overline{A} a vector of magnitude the area of the circuit and perpendicular to the current.
First I thaught it...
This is a question about proton magnetic moment. Does magnetic moment mean moment of inertia, as in resistance to change? Also it seems like this must be measured on an accelerated proton. Is that so, and if so, how is the proton accelerated? Is it a bare proton, or part of a larger system? (I...
So far I have found two completely different values of the electron magnetic moment and i need help to know in which cases these are applicable:
They both refer (i think) to values of the particle as such, without orbital contribution. Just the spin contribution to the magnetic moment
1st...
The problem reads:
Find the magnetic moment of a spinning shell of charge Q, radius R, and angular velocity \vec{\omega}.
My solution:
I split the sphere into infinitely small loops of current (from top to bottom) and add them up. I set my origin on the center of the sphere and...
My question is stated in the title. I wonder is it that scientists are not able to explain the origin of magnetic moment of elementary particles and say that it's an intrinsic property just like mass.
when we write \vec \tau=[\vec \mu, \vec B]
what is the point or the line about which we are calcuating the torque
Also what is the magnetic moment's expression for a surface current and volume current distribution?
[b]1.I am confused about the topic effective magnetic moment.The equation is
U={L(L+1)+4S(S+1)}^(0.5)
Where u is effective magnetic moment,.
Please clear the various terms and units involved in this.
I will be greatly thankful if you could support...
Hi!
When a charge/current moves in a closed loop, a magnetic moment is generated.
Is there any formula for connecting the magnetic moment to E-field and B-field?
Patrick
I feel really stupid that I can't solve this problem, but here goes...
The force on a magnetic moment \mu_z in a nonuniform magenetic field B_z is given by
F_z=\mu_z \frac{dB_z}{dz}
If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of...
I have searched various websites... but all they have about magnetic moments is:
\vec\mu=I\vec{A}
and
\vec\tau=\vec\mu\times\vec{B}
but all the the sources only showed that the equation is true for rectangular loop of current.
but I need a more satisfactory answer. So I try to prove this in a...
Hello Everybody,
Glad to be back again after a year. My main motivation to be back, is precisely the following observation about the existence of an intrinsic magnetic moment at large scale too.
Observations Supporting the Existence of an Intrinsic Magnetic Moment Inside the Central...
I cannot figure out how to solve this problem:
The calculation of the magnetic moment of a current loop leads to the line integral (around a closed loop)
INT r x dr
a) Integrate around the perimeter of a current loop (in the xy plane) and show that the scalar magnitude of this line...
if L_z|Y_l^m>=m|Y_l^m>
whats my possible values for L_x(A|Y_0^0>+B|Y_1^0>+C|Y_2^0>)?
i thought id use L_x=\frac{L_++L_-}{2}, create a matrix that would be block diagonal (a block for every l) and then i should find the eigenvalues for every block and say these are the values id get from...
I'm not sure I know how to start this problem.
"A rectangular coil has 16 turns and sides of length a=20 cm and c=50 cm. The coil is pivoted around the y-axis and its plane is at 30 degrees to a magnetic field B=50 k T. The current is 10 A
a)Find the force on each side
b)what is the...
I have a little question about QED..
How come QED could precisely predict the magnetic moment of electron and muon, but can't predict the lifetime of neutron with the same accuracy?
I believe to remember some recent comments about the measurement of neutron magnetic moment or some other quantity of this particle, which was not very well in agreement with standard model calculations. I can not remember which measurement it was, or when. Can anyone help my poor neurons?
Has the value of the Magnetic Momentic of the Tauon been determined experimentally in Units of Joules/Tesla? I have seen these values for the Electron and Muon. Thanks.