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Encyclopedia > Magnetic dipole moment

In physics, the magnetic moment of an object is a vector relating the aligning torque in a magnetic field experienced by the object to the field vector itself. The relationship is given by: Since antiquity, people have tried to understand the behavior of matter: why unsupported objects drop to the ground, why different materials have different properties, and so forth. ... In physics and in vector calculus, a spatial vector is a concept characterized by a magnitude, which is a scalar, and a direction (which can be defined in a 3-dimensional space by the Euler angles). ... In physics, torque can be thought of informally as rotational force. Torque is measured in units of newton metres. ...

mathbf{tau} = mathbf{{mu}} times mathbf{B}

where

τ is the torque, measured in newton · metres
μ is the magnetic moment, measured in ampere · square metres
B is the magnetic field, measured in newtons per ( ampere · metres )

The alignment of the magnetic moment with the field creates a difference in potential energy U: The newton (symbol: N) is the SI unit of force. ... The metre (Commonwealth English) or meter (American English) (symbol: m) is the SI base unit of length. ... The ampere (symbol: A) is the SI base unit of electrical current equal to one coulomb per second. ... A square metre (US spelling: square meter) is by definition the area enclosed by a square with sides each 1 metre long. ... The ampere (symbol: A) is the SI base unit of electrical current equal to one coulomb per second. ... The metre (Commonwealth English) or meter (American English) (symbol: m) is the SI base unit of length. ...

U = - mathbf{mu}cdotmathbf{B}

One of the simplest examples of magnetic moments is that of the current-carrying loop, carrying current I and of area vector A for which the magnitude is given by:

mathbf{mu} = I mathbf{A}

where

μ is the magnetic moment, measured in ampere · square metres
I is the current, measured in amperes
A is the loop area vector , having as x-,y-,z-coordinates the square metres area of the projection of the loop into the yz-,zx-,and xy-planes

Electrons and many nuclei also have intrinsic magnetic moments, an explanation of which requires a quantum mechanical treatment and relates to the intrinsic angular momentum of the particles. It is these intrinsic magnetic moments that give rise to the macroscopic effects of magnetism, and other phenomena, such as Nuclear Magnetic Resonance. The ampere (symbol: A) is the SI base unit of electrical current equal to one coulomb per second. ... A square metre (US spelling: square meter) is by definition the area enclosed by a square with sides each 1 metre long. ... The ampere (symbol: A) is the SI base unit of electrical current equal to one coulomb per second. ... A square metre (US spelling: square meter) is by definition the area enclosed by a square with sides each 1 metre long. ... Properties The electron is a fundamental subatomic particle which carries a negative electric charge. ... In physics, magnetism is one of the phenomena by which materials exert an attractive or repulsive force on other materials. ... Pacific Northwest National Laboratorys high magnetic field (800 MHz) NMR spectrometer being loaded with a sample. ...


  Results from FactBites:
 
Magnetic moment - Wikipedia, the free encyclopedia (714 words)
The moment is negative, indicating it is diamagnetic, and equal to the energy of rotation divided by the magnetic field.
Magnetism can be created by electric current in loops and coils so any current circulating in a planar loop produces a magnetic moment whose magnitude is equal to the product of the current and the area of the loop.
The magnetic moment of an object is a vector relating the aligning torque in a magnetic field experienced by the object to the field vector itself.
Magnetic field - Wikipedia, the free encyclopedia (3043 words)
The "north" and "south" poles of a magnet or a magnetic dipole are labelled similarly to north and south poles of a compass needle.
Magnetic field density, otherwise known as magnetic flux density, is essentially what the layman knows as a magnetic field —akin to a gravitational or electric field.
The SI unit of magnetic flux density is the tesla.
  More results at FactBites »


 

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