dipole near and far

[AntonioLao]

Given a current loop, the quantity IA is called the magnetic dipole moment (M) where I is the electric current flowing in the loop and A is the area enclosed by the loop. This is called the far-field approximation. Classically, magnetic flux density generated by the loop depends only on the area and not on its shape: M = IA.

On the other hand, if a magnetic dipole experiences an infinitesimal near local turning force (torque) in a non-uniform or time-varying magnetic field then the magnetic dipole moment is defined as the ratio of the torque (T) over the magnetic flux density (B): M = T/B. It is then logical that the far-field approximation is the integral of the near-field equation IA = ∫T/B. As a classical experimental constant, B can be taken outside the integral: ∫∂T = IAB. Torque is defined as the vector cross product of the radius vector r and a local infinitesimal force F: ∂T = r × F. Since r× F = - F× r, two possible distinct orientations exist such that quantized torque is made equivalent to quantized spin. Although torque is a vector, the scalar inner dot product of torque is equivalent to a square of energy.

[mkirkpatrick]

An interesting description Antonio,you certainly know what you are torqueing about?

Are not all dipoles connected by an unversal energy field,where near and far does not
apply?



regards michael.

[AntonioLao]

Are not all dipoles connected by an unversal energy field,where near and far does not apply

Dipoles (electric or magnetic) exist due to broken symmetries. I am thinking that quadrupoles should be able to restore symmetry. Once restored then they are all connected into a universal energy field.

[mkirkpatrick]

Dipoles (electric or magnetic) exist due to broken symmetries. I am thinking that quadrupoles should be able to restore symmetry. Once restored then they are all connected into a universal energy field.

Symmetry needs to be restored,or else there be chaos?



regards michael.

[AntonioLao]

Symmetry needs to be restored,or else there be chaos

According to Standard Model of elementary particles, they are all derived from spontaneous broken symmetries via the Higgs mechanism.

[mkirkpatrick]

According to Standard Model of elementary particles, they are all derived from spontaneous broken symmetries via the Higgs mechanism.

There is something missing here! Need to put my finger on it?



regards michael.