The thorny way of truth - Free Energy Community

.(2)But now we have- 67 -second: the electromotive work in the second conductor:third: the electrodynamic work of both currents on one another:*J/dS .d (I)dS' —jj- (hi\+ ^ *; +''3h)'After we have gotten acquainted with the potential of the interactionof both galvanic currents, we will attempt to explain this interaction fromthe interaction of the individual electric particles.For this purpose, it is necessary to discuss generally how the theoremsin sections 36 to 43 are to be altered when the potential is not onlydependent on the coordinates, but also on the velocities of the movingmaterial points.Section 95The Expanded Theorem Of LaGrange;; C{T-^D + S)dt =We will consider a system of moving material particles. T is thekinetic energy of this system. The expression for the work performed (thepotential) at time t may be broken down into two parts, S + D, so that S isonly dependent on the particle's coordinates, with D, moreover, stilldependent on the velocities. We will denote x, y, z as the coordinates forany one of the material points, and willwrite (dx/dt)=x', (dy/dt)=y',(dz/dt)=z' as an abbreviation and, correspondingly, the second derivatives.The components of the force acting on point (x, y, z) are X, Y, Z.The work performed in time element dt, after the expiration of time t, is(1)'^(Xx'+Yy'+Zz')dt.The summation is to be extended over all the points. This work is equal tothe increase that the potential undergoes in time element dt:2(j:x'+yy' + Z.')c/< = (^ + ^)cZ