12.07.2015 Views

The thorny way of truth - Free Energy Community

The thorny way of truth - Free Energy Community

The thorny way of truth - Free Energy Community

SHOW MORE
SHOW LESS
  • No tags were found...

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

- 69 -Iis the necessary and sufficient condition so that T-P=const. S, here, isonly a function <strong>of</strong> coordinates x, y, z . .. , a function whose expressiondoes not explicitly contain time t, while it is T-D that is a homogeneousfunction <strong>of</strong> the second degree for x', y', z'Consequently, we canimmediately apply the theorem in section 43, which will now read:When motion is to proceed so that fhe theory <strong>of</strong> the conservation <strong>of</strong>kineticenergy(6) T— 6' — Z> = const.is valid, then the following necessary and sufficient condition is to besatisfied:) Ht-d^-s)dttThis condition yields differential equations <strong>of</strong> form (6) in section 42.<strong>The</strong>re, one only has to write T-D for T, and S for P to get our case above.Section 96<strong>The</strong> Potential Of Two ElectricWeber's FormParticles.<strong>The</strong> point is now to apply the theorem in section 95 to the case wherethe moving material points are electric particles and where the forces thatare in motion due to their influence are the forces <strong>of</strong> mutual attraction andrepulsion.In this problem, D is the potential <strong>of</strong> the interaction <strong>of</strong> the electricparticles, to the extent that it is co-dependent on the velocities. D will consist<strong>of</strong> three parts, namely, the potential Dj <strong>of</strong> both currents on eachother, the potential D2 <strong>of</strong> the first current on itself, and the potential D3<strong>of</strong> the second current on itself. According to (5) in section 94,(1) D, = -\ I'^^^": = -//(t, t;-f-.-, .•; 4. i, t-;).When an electrical conductor is moving and the electrical particlesinside it are simultaneously in motion, then one can break down themotion <strong>of</strong> every such particle into two parts, namely, the motion which theconductor imparts to it, and its motion relative to the conductor. <strong>The</strong>n,dx/dt, dy/dt, dz/dt are the components <strong>of</strong> the absolute velocity <strong>of</strong> theelectrical particle e that is concentrated in point (x, y, z) and v/ Vj' V3' arcthe components <strong>of</strong> the absolute velocity <strong>of</strong> elements <strong>of</strong> the Condiictdr;

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!