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An equipotential of a scalar potential function in n-dimensional space is typically an (n − 1)-dimensional space. The del operator illustrates the relationship between a vector field and its associated scalar potential field. An equipotential region might be referred as being 'of equipotential' or simply be called 'an equipotential'.
Stages in the life of a binary system as a common envelope is formed. The system has mass ratio M1/M2=3. The black line is the Roche equipotential surface. The dashed line is the rotation axis. (a) Both stars lie within their Roche lobes, star 1 on the left (mass M1 in red) and star 2 on the right (mass M2 in orange).
Taylor's derivation is based on two assumptions: (1) that the surface of the cone is an equipotential surface and (2) that the cone exists in a steady state equilibrium. To meet both of these criteria the electric field must have azimuthal symmetry and have R {\displaystyle {\sqrt {R}}\,} dependence to counter the surface tension to produce the ...
Due to Dupin's theorem on threefold orthogonal systems of surfaces, the intersection curve of any two confocal quadrics is a line of curvature. Analogously to the planar elliptic coordinates there exist ellipsoidal coordinates. In physics confocal ellipsoids appear as equipotential surfaces of a charged ellipsoid. [6]
The equipotential surface for the potential value is the implicit surface (,,) = which is a sphere with center at point . The potential of 4 {\displaystyle 4} point charges is represented by
When the White Sox and Yankees face off in an Iowa cornfield on Thursday night, one team will be sporting some seriously stylish throwbacks.
The surfaces of constant geopotential or isosurfaces of the geopotential are called equigeopotential surfaces (sometimes abbreviated as geop), [1] also known as geopotential level surfaces, equipotential surfaces, or simply level surfaces. [2] Global mean sea surface is close to one equigeopotential called the geoid. [3]
The geoid, or mathematical mean sea surface, is defined not only on the seas, but also under land; it is the equilibrium water surface that would result, would sea water be allowed to move freely (e.g., through tunnels) under the land. Technically, an equipotential surface of the true geopotential, chosen to coincide (on average) with mean sea ...