Beyond the Point Charge: Equipotential Surfaces and Electric Fields of Various Charge Configurations

2017 ◽  
Vol 55 (2) ◽  
pp. 71-73 ◽  
Author(s):  
Jeffrey A. Phillips ◽  
Jeff Sanny ◽  
David Berube ◽  
Anatol Hoemke
Keyword(s):  
Electric Fields ◽  
Point Charge ◽  
Equipotential Surfaces

Conduction Electron Contributions to the Crystalline Electric Fields in Transition Metals

1974 ◽  
Vol 52 (11) ◽  
pp. 985-988 ◽  
Author(s):  
A. Ludwig ◽  
R. A. B. Devine
Keyword(s):  
Rare Earth ◽  
Transition Metals ◽  
Noble Metal ◽  
Electric Fields ◽  
Conduction Electron ◽  
Point Charge ◽  
Rare Earth Ions ◽  
Negative Point ◽  
Tentative Explanation ◽  
Crystalline Electric Fields

We discuss the origin of the crystalline electric fields for rare earth ions in transition and noble metal hosts, in terms of the band character of the host material and of localization and delocalization of 5d electrons on the rare earth ions. A tentative explanation is given for the almost pure negative point charge character found in Pd and Pt.

scholarly journals Dirac Spatial Search with Electric Fields

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1441
Author(s):  
Julien Zylberman ◽  
Fabrice Debbasch
Keyword(s):  
Dirac Equation ◽  
Electric Field ◽  
Time Scales ◽  
Electric Fields ◽  
Point Charge ◽  
Quantum Walks ◽  
Spatial Search ◽  
Speed Up ◽  
Finite Period ◽  
Non Local

Electric Dirac quantum walks, which are a discretisation of the Dirac equation for a spinor coupled to an electric field, are revisited in order to perform spatial searches. The Coulomb electric field of a point charge is used as a non local oracle to perform a spatial search on a 2D grid of N points. As other quantum walks proposed for spatial search, these walks localise partially on the charge after a finite period of time. However, contrary to other walks, this localisation time scales as N for small values of N and tends asymptotically to a constant for larger Ns, thus offering a speed-up over conventional methods.

scholarly journals EQUIPOTENTIAL SURFACES FOR UNIFORMLY CHARGED SYMMETRIC POLYHEDRAL CONDUCTORS

2021 ◽  
Author(s):  
Rishav CHAKRABORTY
Keyword(s):  
Point Charge ◽  
Equipotential Surface ◽  
First Occurrence ◽  
Equipotential Surfaces

<p>In this paper, it has been explained how the equipotential surface is influenced by the shape of the symmetric polyhedral conductor and how it finally becomes spherical as it would be if the polyhedral conductor is replaced by a point charge placed at the centre of that conductor. As we move away from the polyhedral conductor the consecutive equipotential surfaces curve more at the sharp bends. A patter n is observed when the diagonal distance from the vertex of the conductor to the first occurrence of its spherical equipotential surface for all symmetric polyhedral conductors is mathematically calculated which is half of the length of its side.</p>

Electric field in media with power-law spatial dispersion

2016 ◽  
Vol 30 (10) ◽  
pp. 1650132 ◽  
Author(s):  
Vasily E. Tarasov
Keyword(s):  
Electric Field ◽  
Electric Fields ◽  
Power Law ◽  
Wave Vector ◽  
Point Charge ◽  
Spatial Dispersion ◽  
Multipole Expansion ◽  
The Media ◽  
The Absolute

In this paper, we consider electric fields in media with power-law spatial dispersion (PLSD). Spatial dispersion means that the absolute permittivity of the media depends on the wave vector. Power-law type of this dispersion is described by derivatives and integrals of non-integer orders. We consider electric fields of point charge and dipole in media with PLSD, infinite charged wire, uniformly charged disk, capacitance of spherical capacitor and multipole expansion for PLSD-media.

Behavior of polarizable models in presence of strong electric fields. I. Origin of nonlinear effects in water point-charge systems

2005 ◽  
Vol 123 (19) ◽  
pp. 194109 ◽  
Author(s):  
Riccardo Chelli ◽  
Alessandro Barducci ◽  
Luca Bellucci ◽  
Vincenzo Schettino ◽  
Piero Procacci
Keyword(s):  
Electric Fields ◽  
Point Charge ◽  
Nonlinear Effects ◽  
Water Point ◽  
Strong Electric Fields

scholarly journals EQUIPOTENTIAL SURFACES FOR UNIFORMLY CHARGED SYMMETRIC POLYHEDRAL CONDUCTORS

2021 ◽  
Author(s):  
Rishav CHAKRABORTY
Keyword(s):  
Point Charge ◽  
Equipotential Surface ◽  
First Occurrence ◽  
Equipotential Surfaces

<p>In this paper, it has been explained how the equipotential surface is influenced by the shape of the symmetric polyhedral conductor and how it finally becomes spherical as it would be if the polyhedral conductor is replaced by a point charge placed at the centre of that conductor. As we move away from the polyhedral conductor the consecutive equipotential surfaces curve more at the sharp bends. A patter n is observed when the diagonal distance from the vertex of the conductor to the first occurrence of its spherical equipotential surface for all symmetric polyhedral conductors is mathematically calculated which is half of the length of its side.</p>

Control of Metal Alloy Oxidation with Electric Fields

1973 ◽  
Vol 31 ◽  
pp. 164-165
Author(s):  
R. R. Dils ◽  
P. S. Follansbee
Keyword(s):  
Electric Fields ◽  
Oxidation Process ◽  
Base Alloy ◽  
Oxide Surface ◽  
Platinum Electrodes ◽  
Insulating Layer ◽  
Iron Base Alloy ◽  
Alloy Oxidation ◽  
Aluminum Oxide Layer ◽  
And Control

Electric fields have been applied across oxides growing on a high temperature alloy and control of the oxidation of the material has been demonstrated. At present, three-fold increases in the oxidation rate have been measured in accelerating fields and the oxidation process has been completely stopped in a retarding field.The experiments have been conducted with an iron-base alloy, Pe 25Cr 5A1 0.1Y, although, in principle, any alloy capable of forming an adherent aluminum oxide layer during oxidation can be used. A specimen is polished and oxidized to produce a thin, uniform insulating layer on one surface. Three platinum electrodes are sputtered on the oxide surface and the specimen is reoxidized.

Electron-Mirror Microscopic Aspects of Ferroelectric Domains of BaTiO3 And Ca2Sr (C2H5CO2)6

1970 ◽  
Vol 28 ◽  
pp. 478-479
Author(s):  
Teruo Someya ◽  
Jinzo Kobayashi
Keyword(s):  
Surface Layer ◽  
Electric Fields ◽  
Quantitative Study ◽  
Recent Progress ◽  
Ferroelectric Domain ◽  
Resolving Power ◽  
Surface Pattern ◽  
Crystal Surfaces ◽  
One Dimensional ◽  
Ferroelectric Domains

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).

Electron Microscope Observations of Magnetic and Electric Effects

1970 ◽  
Vol 28 ◽  
pp. 430-431
Author(s):  
John Silcox
Keyword(s):  
Electron Microscope ◽  
Electric Fields ◽  
Magnetic Image ◽  
Magnetic Effects ◽  
Ferromagnetic Films ◽  
Diffraction Contrast ◽  
Microscope Images ◽  
Electric Effects ◽  
Image Detail

Several aspects of magnetic and electric effects in electron microscope images are of interest and will be discussed here. Clearly electrons are deflected by magnetic and electric fields and can give rise to image detail. We will review situations in ferromagnetic films in which magnetic image effects are the predominant ones, others in which the magnetic effects give rise to rather subtle changes in diffraction contrast, cases of contrast at specimen edges due to leakage fields in both ferromagnets and superconductors and some effects due to electric fields in insulators.

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