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Its field at large distances (i.e., distances large in comparison to the separation of the poles) depends almost entirely on the dipole moment as defined above. A point (electric) dipole is the limit obtained by letting the separation tend to 0 while
where r is the distance between dipoles. The force acting on m 1 is in the opposite direction. The torque can be obtained from the formula
This is exactly the field of a point dipole, exactly the dipole term in the multipole expansion of an arbitrary field, and approximately the field of any dipole-like configuration at large distances. Frames of reference for calculating the forces between two dipoles Force between coaxial cylinder magnets.
The dipole is the simplest type of antenna from a theoretical point of view. [1] Most commonly it consists of two conductors of equal length oriented end-to-end with the feedline connected between them. [8] [9] Dipoles are frequently used as resonant antennas.
The image of an electric point dipole is a bit more complicated. If the dipole is pictured as two large charges separated by a small distance, then the image of the dipole will not only have the charges modified by the above procedure, but the distance between them will be modified as well.
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. ...
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.
where d = electric dipole moment, = permittivity of free space, = dielectric constant of surrounding material, T = temperature, = Boltzmann constant, and r = distance between molecules. Debye force (permanent dipoles–induced dipoles)