WordNet
- on the surface; "surface materials of the moon"
- the outer boundary of an artifact or a material layer constituting or resembling such a boundary; "there is a special cleaner for these surfaces"; "the cloth had a pattern of red dots on a white surface"
- the outermost level of the land or sea; "earthquakes originate far below the surface"; "three quarters of the Earths surface is covered by water" (同)Earth''s surface
- a superficial aspect as opposed to the real nature of something; "it was not what it appeared to be on the surface"
- the extended two-dimensional outer boundary of a three-dimensional object; "they skimmed over the surface of the water"; "a brush small enough to clean every dental surface"; "the sun has no distinct surface"
- come to the surface (同)come_up, rise up, rise
- emerging to the surface and becoming apparent
PrepTutorEJDIC
- (物の)表面,外面;水面 / 《比喩的に》『うわべ』,見かけ / 『表面(水面)の,』表面(水面)に関する / 《比喩的に》『うわべだけの,』見かけだけの / 陸(水)上輸送の / (沈んでいたものが)表面に浮上する;《話》《おどけて》(寝ていた人が)起きる / (…で)…‘に'表面をつける,〈道路〉‘を'舗装する《+名+with+名》
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出典(authority):フリー百科事典『ウィキペディア(Wikipedia)』「2014/03/03 23:45:39」(JST)
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Equipotential surfaces are surfaces of constant scalar potential. They are used to visualize an (n)-dimensional scalar potential function in (n-1) dimensional space. The gradient of the potential, denoting the direction of greatest increase, is perpendicular to the surface.
In electrostatics, the work done to move a charge from any point on the equipotential surface to any other point on the equipotential surface is zero since they are at the same potential. Furthermore, equipotential surfaces are always perpendicular to the net electric field lines passing through it.
The term is used in electrostatics, fluid mechanics, and geodesy.
See also[edit]
UpToDate Contents
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English Journal
- Finite element simulations of electrostatic dopant potentials in thin semiconductor specimens for electron holography.
- Somodi PK, Twitchett-Harrison AC, Midgley PA, Kardynał BE, Barnes CH, Dunin-Borkowski RE.Author information Department of Materials Science and Metallurgy, University of Cambridge, Pembroke Street, Cambridge CB2 3QZ, United Kingdom.AbstractTwo-dimensional finite element simulations of electrostatic dopant potentials in parallel-sided semiconductor specimens that contain p-n junctions are used to assess the effect of the electrical state of the surface of a thin specimen on projected potentials measured using off-axis electron holography in the transmission electron microscope. For a specimen that is constrained to have an equipotential surface, the simulations show that the step in the projected potential across a p-n junction is always lower than would be predicted from the properties of the bulk device, but is relatively insensitive to the value of the surface state energy, especially for thicker specimens and higher dopant concentrations. The depletion width measured from the projected potential, however, has a complicated dependence on specimen thickness. The results of the simulations are of broader interest for understanding the influence of surfaces and interfaces on electrostatic potentials in nanoscale semiconductor devices.
- Ultramicroscopy.Ultramicroscopy.2013 Nov;134:160-6. doi: 10.1016/j.ultramic.2013.06.023. Epub 2013 Jul 16.
- Two-dimensional finite element simulations of electrostatic dopant potentials in parallel-sided semiconductor specimens that contain p-n junctions are used to assess the effect of the electrical state of the surface of a thin specimen on projected potentials measured using off-axis electron holograp
- PMID 23953735
- Heterogeneous nucleation in multi-component vapor on a partially wettable charged conducting particle. II. The generalized Laplace, Gibbs-Kelvin, and Young equations and application to nucleation.
- Noppel M, Vehkamäki H, Winkler PM, Kulmala M, Wagner PE.Author information Institute of Physics, University of Tartu, 18 Ülikooli St., 50090 Tartu, Estonia.AbstractBased on the results of a previous paper [M. Noppel, H. Vehkamäki, P. M. Winkler, M. Kulmala, and P. E. Wagner, J. Chem. Phys. 139, 134107 (2013)], we derive a thermodynamically consistent expression for reversible or minimal work needed to form a dielectric liquid nucleus of a new phase on a charged insoluble conducting sphere within a uniform macroscopic one- or multicomponent mother phase. The currently available model for ion-induced nucleation assumes complete spherical symmetry of the system, implying that the seed ion is immediately surrounded by the condensing liquid from all sides. We take a step further and treat more realistic geometries, where a cap-shaped liquid cluster forms on the surface of the seed particle. We derive the equilibrium conditions for such a cluster. The equalities of chemical potentials of each species between the nucleus and the vapor represent the conditions of chemical equilibrium. The generalized Young equation that relates contact angle with surface tensions, surface excess polarizations, and line tension, also containing the electrical contribution from triple line excess polarization, expresses the condition of thermodynamic equilibrium at three-phase contact line. The generalized Laplace equation gives the condition of mechanical equilibrium at vapor-liquid dividing surface: it relates generalized pressures in neighboring bulk phases at an interface with surface tension, excess surface polarization, and dielectric displacements in neighboring phases with two principal radii of surface curvature and curvatures of equipotential surfaces in neighboring phases at that point. We also re-express the generalized Laplace equation as a partial differential equation, which, along with electrostatic Laplace equations for bulk phases, determines the shape of a nucleus. We derive expressions that are suitable for calculations of the size and composition of a critical nucleus (generalized version of the classical Kelvin-Thomson equation).
- The Journal of chemical physics.J Chem Phys.2013 Oct 7;139(13):134108. doi: 10.1063/1.4822047.
- Based on the results of a previous paper [M. Noppel, H. Vehkamäki, P. M. Winkler, M. Kulmala, and P. E. Wagner, J. Chem. Phys. 139, 134107 (2013)], we derive a thermodynamically consistent expression for reversible or minimal work needed to form a dielectric liquid nucleus of a new phase on a charg
- PMID 24116553
- Optics of ion beams for the neutral beam injection system on HL-2A Tokamak.
- Zou GQ, Lei GJ, Cao JY, Duan XR.Author information Southwestern Institute of Physics, Chengdu, 610041, China. zougq@swip.ac.cnAbstractThe ion beam optics for the neutral beam injection system on HL-2A Tokomak is studied by two- dimensional numerical simulation program firstly, where the emitting surface is taken at 100 Debye lengths from the plasma electrode. The mathematical formulation, computation techniques are described. Typical ion orbits, equipotential contours, and emittance diagram are shown. For a fixed geometry electrode, the effect of plasma density, plasma potential and plasma electron temperature on ion beam optics is examined, and the calculation reliability is confirmed by experimental results. In order to improve ion beam optics, the application of a small pre-acceleration voltage (∼100 V) between the plasma electrode and the arc discharge anode is reasonable, and a lower plasma electron temperature is desired. The results allow optimization of the ion beam optics in the neutral beam injection system on HL-2A Tokomak and provide guidelines for designing future neutral beam injection system on HL-2M Tokomak.
- The Review of scientific instruments.Rev Sci Instrum.2012 Jul;83(7):073307. doi: 10.1063/1.4737184.
- The ion beam optics for the neutral beam injection system on HL-2A Tokomak is studied by two- dimensional numerical simulation program firstly, where the emitting surface is taken at 100 Debye lengths from the plasma electrode. The mathematical formulation, computation techniques are described. Typi
- PMID 22852685
Japanese Journal
- Rolling Direction Dependent Diffusion Coefficients of Hydrogen in Ferritic Steel by SDCM Charging and SKP Probing
- Rolling Direction Dependent Diffusion Coefficients of Hydrogen in Ferritic Steel by SDCM Charging and SKP Probing
- Recovery of orthometric heights from ellipsoidal heights using offsets method over Japan
Related Links
- equipotential surface [ e·kwə·pə′ten·chəl ′sər·fəs] (electricity) A surface on which the electric potential is the same at every point. (geophysics) A surface characterized by the potential being constant everywhere on it for the attractive ...
- MLA style: "equipotential surface". Encyclopædia Britannica. Encyclopædia Britannica Online. Encyclopædia Britannica Inc., 2016. Web. 02 May. 2016 < http://www.britannica.com/science/equipotential-surface >. APA style: ...
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