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1459321584-20467096EMFChapterIIIMagnetostatics.pdf (Size: 1.05 MB / Downloads: 5)
Biot Savart’s Law:
The Biot Savart’s Law states that at any point the
magnitude of the magnetic field intensity produced by the
differential element is proportional to the product of the
current, the magnitude of the differential length and the sine of
angle lying between the filament and a line connecting the
filament to the point P at which the field is measured and the
magnitude of the magnetic field intensity is inversely
proportional to the square of the distance from the differential
element to the point P.
Field Between Conductors
The inner conductor can be thought of as made up of a bundle of filament
currents, each of which produces the field of a long wire.
Consider two such filaments, located at the same
radius from the z axis,
, but which lie at symmetric
coordinates, and -
Their field contributions
superpose to give a net H
component as shown. The
same happens for every pair of symmetrically-located
filaments, which taken as a whole, make up the entire
center conductor.
The field between conductors is thus found to be the same
as that of filament conductor on the z axis that carries current,
I. Specifically: