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Each term in the expansion is associated with a characteristic moment and a potential having a characteristic rate of decrease with distance r from the source. Monopole moments have a 1/r rate of decrease, dipole moments have a 1/r 2 rate, quadrupole moments have a 1/r 3 rate, and so on. The higher the order, the faster the potential drops off.
The dipole term is the dominant one at large distances: Its field falls off in proportion to 1 / r 3 , as compared to 1 / r 4 for the next term and higher powers of 1 / r for higher terms, or 1 / r 2 for the monopole term.
is the normal distance between the two parallel faces of the magnets; is the distance between the magnetic dipole axes of the two magnets. With their magnetic dipole aligned, the force can be computed analytically using elliptic integrals. [7]
Magnetic dipole–dipole interaction, also called dipolar coupling, refers to the direct interaction between two magnetic dipoles. Roughly speaking, the magnetic field of a dipole goes as the inverse cube of the distance, and the force of its magnetic field on another dipole goes as the first derivative of the magnetic field. It follows that ...
Only with fat dipoles 1.25 5.2 Greatest gain 1.5 ... in free space and is the linear distance between the point being considered to the origin (where ...
The magnetic moment also expresses the magnetic force effect of a 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.
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. ...
Illustration of the difference between geomagnetic poles (N m and S m) and geographical poles (N g and S g) Location of the north magnetic pole and the north geomagnetic pole in 2017. [1] The geomagnetic poles are antipodal points where the axis of a best-fitting dipole intersects the surface of Earth.