A Treatise On Electricity And Magnetism Microform volume 1
A Treatise On Electricity And Magnetism Microform volume 1
Leuthre Lie Nicolas Mascart
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This action must be perpendicular to the element ds (Fig. 105); on the other hand, it should not change in direction when the element is made to turn by any quantity about the right line PO ; it is therefore null. Let there now be an element ds (Fig. 106) which makes an angle a with the right line joining it to the pole; the element of current ds may be replaced by its two projections ds cos a and ds sin a, the one along the right line PO, the other in a perpendicular direction. The action of t...he pole on the former is null ; there only then remains the action of the pole on ds sin a. This latter is propor- tional, as we have seen, to the mass m of the pole, to the intensity i of the current ; it is also proportional to the length ds sin a of the element, and lastly to a certain function of the distance f (r). Hence, if d is this force, and k a coefficient to be determined by experiment, d = mkids sin of (r) . LAW OF BIOT AND SAVART. 443 The force is moreover applied to the element, and is per- pendicular to the plane Pds.
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