Coulomb law and hypercomplex approach to electrodynamics

1990 ◽  
Vol 33 (9) ◽  
pp. 810-813
Author(s):  
A. L. Smolin
Keyword(s):  
Coulomb Law

Symmetry, Uniqueness, and the Coulomb Law of Force

1965 ◽  
Vol 33 (4) ◽  
pp. 300-305 ◽  
Author(s):  
Ronald Shaw
Keyword(s):  
Coulomb Law

Analysis of Belt-Driven Mechanics Using a Creep-Rate-Dependent Friction Law

2002 ◽  
Vol 69 (6) ◽  
pp. 763-771 ◽  
Author(s):  
M. J. Leamy ◽  
T. M. Wasfy
Keyword(s):  
Finite Element ◽  
Creep Rate ◽  
Contact Region ◽  
Unit Length ◽  
Velocity Ratio ◽  
Belt Drive ◽  
Friction Law ◽  
Dynamic Finite Element ◽  
Rate Dependent ◽  
Coulomb Law

An analysis of the frictional mechanics of a steadily rotating belt drive is carried out using a physically appropriate creep-rate-dependent friction law. Unlike in belt-drive mechanics analyzed using a Coulomb friction law, the current analysis predicts no adhesion zones in the belt-pulley contact region. Regardless of this finding, for the limiting case of a creep-rate law approaching a Coulomb law, all predicted response quantities (including the extent of belt creep on each pulley) approach those predicted by the Coulomb law analysis. Depending on a slope parameter governing the creep-rate profile, one or two sliding zones exist on each pulley, which together span the belt-pulley contact region. Closed-form expressions are obtained for the tension distribution, the sliding-zone arc magnitudes, and the frictional and normal forces per unit length exerted on the belt. A sample two-pulley belt drive is analyzed further to determine its pulley angular velocity ratio and belt-span tensions. Results from this analysis are compared to a dynamic finite element solution of the same belt drive. Excellent agreement in predicted results is found. Due to the presence of arbitrarily large system rotations and a numerically friendly friction law, the analytical solution presented herein is recommended as a convenient comparison test case for validating friction-enabled dynamic finite element schemes.

scholarly journals Few problems with regularized Coulomb law

2015 ◽  
Vol 16 (2) ◽  
pp. 202 ◽  
Author(s):  
Jean-Louis Ligier ◽  
Philippe Bonhôte
Keyword(s):  
Coulomb Law

scholarly journals Remarks on the anomalous scattering of α-particles from the quantum mechanical point of view

1930 ◽  
Vol 127 (806) ◽  
pp. 671-677 ◽  
Keyword(s):  
Cross Section ◽  
Point Of View ◽  
Light Nuclei ◽  
Fourth Power ◽  
Quantum Mechanical ◽  
Anomalous Scattering ◽  
Particle Scattering ◽  
Scattering Angle ◽  
Coulomb Law ◽  
Α Particles

1. It has been established experimentally by Bieler and Rutherford and Chadwick that α-particle scattering by light nuclei does not obey the Rutherford formula if the velocity of the incident particles be sufficiently large (of the order 2 × 10 9 cm. per second). Bieler showed that the scattering becomes less than the classical value for moderate angles (up to 70° scattering angle), while Rutherford and Chadwick found that it increases again for 135° scattering angle. It is at once obvious that these results indicate a departure from the Coulomb law of force, and various laws have been invoked to explain the devia­tions. Thus Bieler showed how the inverse fourth power law was capable of explaining his results, and he found the radius of the neutral surface of the nucleus to be 3⋅44 × 10 -13 cm. Hardmeier used an inverse fifth power polarisation law and was able to explain the increase again at high velocities. However it is desirable to consider the validity of these calculations from the standpoint of the new mechanics. 2. Dimensional Considerations .—Consider scattering by a centre of force exerting a potential F r -n . This scattering will depend not only on the mass m , and velocity v of the incident particles, and on F, but also on Planck’s constant h . The possible dependence on h is not taken into account in any of the above attempts to explain anomalous scattering. Put the scattering cross section proportional to h s v t m u F w .

scholarly journals Coulomb law in the pure gauge U(1) theory on a lattice

1997 ◽  
Vol 56 (7) ◽  
pp. 3896-3902 ◽  
Author(s):  
G. Cella ◽  
U. M. Heller ◽  
V. K. Mitrjushkin ◽  
A. Viceré
Keyword(s):  
Pure Gauge ◽  
Coulomb Law

scholarly journals The anomalous scattering of protons in light elements

1936 ◽  
Vol 157 (891) ◽  
pp. 302-310 ◽  
Keyword(s):  
Single Scattering ◽  
Anomalous Scattering ◽  
Light Elements ◽  
Inverse Square Law ◽  
Atomic Nuclei ◽  
Coulomb Law ◽  
Scattering Material ◽  
Thick Layers

By a study of the scattering of protons by atomic nuclei we can gain information about the interactions of these particles. For sufficiently low velocities of the impinging protons, corresponding to 30 electron kilovolts, it has been shown by Gerthsen that they are scattered by celluloid according to the Rutherford law, and by hydrogen according to the Mott law of scattering of similar particles. At a distance of approach represented by this energy, the inverse square law of force still holds between the particles. Schneider has investigated the scattering of protons of energies up to 300 e.-kv. in aluminium, carbon, and boron. He found a pronounced maximum in the scattering by boron, compared with that by aluminium, at 200 e.-kv. It is not possible to say whether this anomaly is due to a breakdown in the Coulomb law of force between the boron nucleus and a proton, as he used thick layers of scattering material, a fact which renders the interpretation of his results difficult. The present work was undertaken with a view to checking these results, using sufficiently thin targets to ensure single scattering. Schneider’s observations have not been confirmed, although other anomalies have presented themselves.

Deviation from the Coulomb Law for a Proton

1940 ◽  
Vol 57 (5) ◽  
pp. 458-458 ◽  
Author(s):  
W. E. Lamb
Keyword(s):  
Coulomb Law
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