12.07.2015 Views

The thorny way of truth - Free Energy Community

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- 109 -fit^d m^anddVc -4nc„cI, (t) 12(1) ^ dlcls2x(dsi X a^))(27)d"FR =iiili^fll jds,x{dS2xar)^dS2x{ds,xar))2 28nc«c r8ne„crdl2(l)I|(l) —=— ds., x(dS2X aJ^ \ ^ ''dt+ 12(1) —'— clS2 X (ds 1X a^)dt|.,(28)In order to measure the force on an element <strong>of</strong> current I2d52 it isnecessary to integrate these expressions about a closed path with respect tods. However, we have previously*^ shown that for the Ampere-Weberexpression for the force between current elements, the result isthe Grassmann^'7 forceidentical for2dFcIl(t)l2(t)i . u-i ^(dS2x(ds,xar))4nz^cv;v(29)and for the Ampere force. Clearly the classical expression and theGrass mann expression al<strong>way</strong>s give forces perpendicular to the currentelement dS2. <strong>The</strong>refore, in any closed circuit, it is impossible for the Ampereequation to produce any tangential component.<strong>The</strong>refore, we must conclude that the only one <strong>of</strong> these threeformulations which can possibly explain the many experiments^ <strong>of</strong> Herring,Graneau and others which appear to prove the existence <strong>of</strong> tangential forcesis the modern relative velocity formulation. A detailed analysis <strong>of</strong> each <strong>of</strong>the crucial experiments should be carried out to see if the relative velocityformulation can quantitatively predict the tangential forces found by

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