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In (SHEET-05) Figure 1, the illustration depicts the trends of induced field values for a dipole moment of a given magnitude, split into two equal parts and placed at symmetrically distant points on both sides of the original location. In the same sheet, the data is in the Table-1 for this graphical illustration.
An equation of the type
SHAPE \* MERGEFORMAT -------------Equation -1
Can be used for the calculation of the induced field (a shielding tensor multiplied by the applied field value gives the induced field in the tensor forms.) For an isotropic susceptibility , characterizing the system can give the induced field component value along the field direction by the much simpler formula (derivable from the above by a simplification), as follows:
SHAPE \* MERGEFORMAT
For the calculation =-2 was used and = 0 where the is the angle between the distance vector and the direction of
magnetic field. When the R-value increases, the splitting
distance of 1 unit becomes relatively smaller and the
consequence on the induced field values is obvious from
the graphical results. It can be noted that the above equation for the point dipole approximation is more valid at such larger
distances.
The next few sheets contain illustrations on the variety of perspectives of a TOTAL dipole moment being I J K d e | } ~
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divided into parts and distributed. When the induced field contributions are compared for the total moment with the summed contributions from the divided and distributed parts, no uniqueness criteria becomes evident in typical cases.
Magnetic Field
Moment =. H
{ . (1-3.COS2)} / (R)3 ---------Equation 2
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