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If a and b are any two points within or at the surface of a given conductor, and given there is no flow of charge being exchanged between the two points, then the potential difference is zero between the two points. Thus, an equipotential would contain both points a and b as they have the same potential. Extending this definition, an ...
Given the electrical potential on a conductor surface S i (the equipotential surface or the point P chosen on surface i) contained in a system of conductors j = 1, 2, ...
Equipotentiality refers to a psychological theory in both neuropsychology and behaviorism. Karl Spencer Lashley defined equipotentiality as "The apparent capacity of any intact part of a functional brain to carry out… the [memory] functions which are lost by the destruction of [other parts]". [1]
Lines of constant ψ are known as streamlines and lines of constant φ are known as equipotential lines (see equipotential surface). Streamlines and equipotential lines are orthogonal to each other, since [11]
Electric potential of separate positive and negative point charges shown as color range from magenta (+), through yellow (0), to cyan (−). Circular contours are equipotential lines. Electric field lines leave the positive charge and enter the negative charge.
Plate II, 'Lines of force and equipotential surfaces'. A and B are opposite charges, with A being four times bigger than B. P is the point of equilibrium. AP=2AB. An important feature of the Elementary Treatise, therefore, is that it does not contain Maxwell's famous equations. [5]
The electric field is perpendicular, locally, to the equipotential surface of the conductor, and zero inside; its flux πa 2 ·E, by Gauss's law equals πa 2 ·σ/ε 0. Thus, σ = ε 0 E. In problems involving conductors set at known potentials, the potential away from them is obtained by solving Laplace's equation, either analytically or ...
In three dimensions, equipotential surfaces may be depicted with a two dimensional cross-section, showing equipotential lines at the intersection of the surfaces and the cross-section. The general mathematical term level set is often used to describe the full collection of points having a particular potential, especially in higher dimensional ...