scholarly journals Coulomb’s Law and the Electric Field

2020 ◽  
pp. 97-138
Author(s):  
Nathan Ida
Author(s):  
Anthony N. Fresco

Capacitive deionization relies on carbon aerogel or nanofoam having a surface area of 400 square meters/ gram to attract sodium and chlorine ions to the cathode and anode respectively by applying a voltage of about 1.5 VDC across the anode and cathode. By first physically isolating at least two anodes and two cathodes during charge accumulation, at least two positive monopoles and two negative monopoles are created. Positive/negative monopoles are formed by the enclosure of the cathodes/anodes by an electrically conductive material surrounding the sodium/chlorine ions. At least five or six like charged monopoles are created. At least four of the like charged monopoles (all negative or all positive) can be arranged on a disc. At least one stationary monopole of the same charge is placed adjacent to the disc and positioned so that a repulsive electric field is formed between the stationary monopole and at least one of the monopoles positioned on the disc so that the disc is then forced to rotate a shaft at the center of the disc. The Coulomb force between the monopoles is given by Coulomb’s Law, i.e., F=(k/ε)[(q1)(q2)/(r2)](1) where k = 9E+09 Newtons-meter2/coul2, q1 and q2 are the charge in coulombs, r is the distance between the charges in meters and ε = 75–81 dielectric constant assuming water between the charges (more likely air having ε = 1). Only a very small amount of charge in each monopole is required, i.e., 10 millicoulombs, (less than a milligram) to provide a force of about 44,000 Newtons (almost 10,000 lbs) if monopoles are separated by 0.5 meters (assuming this equation for Coulomb’s Law for this application is directly applicable without modification-this may not be the case). (For air, the force would be multiplied by 75–81). In a related approach, solute ions are accelerated by an electrostatic field from solute ions collected on electrodes +,-. Using an orthogonal electric field, partition electrodes are closed to capture like charged ions. Polarity is reversed via a transverse (longitudinal) electric field. Linear alignment of ions results in vector alignment of Coulomb forces to create an ion jet for propulsion or particle acceleration. The result is ionic marine propulsion and a possible ionic jet engine that obtains propulsion energy from Coulomb repulsion forces of homopolar separated charge. No combustion or jet fuel is required. Details are available in WO 2008/024927 A2 Ref. [1].


2017 ◽  
Vol 32 (36) ◽  
pp. 1750201 ◽  
Author(s):  
S. I. Kruglov

We propose a new model of nonlinear electrodynamics (NLED) with three parameters. Born–Infeld (BI) electrodynamics and exponential electrodynamics are particular cases of this model. The phenomenon of vacuum birefringence in the external magnetic field is studied. We show that there is no singularity of the electric field at the origin of point-like charged particles. The corrections to Coulomb’s law at [Formula: see text] are obtained. We calculate the total electrostatic energy of charges, for different parameters of the model, which is finite.


2020 ◽  
Author(s):  
Hiroki Tahara

電磁気学ノート8 静電場における電場に関する法則のCoulombの法則に対する等価性について --Green関数法による考察--


2020 ◽  
Vol 66 (4 Jul-Aug) ◽  
pp. 411
Author(s):  
Y. Kim ◽  
W. Sang Chung ◽  
H. Hassanabadi

In this paper we consider the Coulomb’s law with deviation. We use the Dunkl derivative to derive the deformed Gauss law for the electric field and the electrostatic potentialwhich gives a new deformed electrostatics called a Dunkl-deformed electrostatics. Wemodify the Dunkl derivative for the electric field for multi sources or continuous chargedistribution. We discuss some examples of the Dunkl-deformed electrostatics.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Abderrezak Kasri

Abstract The aim of this paper is to study a quasistatic contact problem between an electro-elastic viscoplastic body with damage and an electrically conductive foundation. The contact is modelled with an electrical condition, normal compliance and the associated version of Coulomb’s law of dry friction in which slip dependent friction is included. We derive a variational formulation for the model and, under a smallness assumption, we prove the existence and uniqueness of a weak solution.


2018 ◽  
Vol 251 ◽  
pp. 03040
Author(s):  
Dmitriy Anufriev ◽  
Olga Shikulskaya ◽  
Mikhail Shikulskiy ◽  
Alyona Naberezhnaya

When urban planning for convenience of the population and business it is necessary to place rationally objects of retail trade and service. Currently a large number of different methods are available to achievement of this purpose, but they are not universal. The most effective solutions could be achieved through the transfer of laws from one area of knowledge to another. The Coulomb’s law was used. Authors analyzed all factors affecting the incurrence of profits or losses of a retail network.


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