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An additional fact needed is that electric field lines cannot penetrate conductors; if an electric field line penetrated into a volume of metal, the electrons in the metal would flow along the field line, redistributing the charge in the conductor until no electric field was left.
In mathematics and physics, an equipotential or isopotential refers to a region in space where every point is at the same potential. [ 1 ] [ 2 ] [ 3 ] This usually refers to a scalar potential (in that case it is a level set of the potential), although it can also be applied to vector potentials .
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.
The method consists of filling the flow area with stream and equipotential lines, which are everywhere perpendicular to each other, making a curvilinear grid.Typically there are two surfaces (boundaries) which are at constant values of potential or hydraulic head (upstream and downstream ends), and the other surfaces are no-flow boundaries (i.e., impermeable; for example the bottom of the dam ...
For two-dimensional potential flow, streamlines are perpendicular to equipotential lines. Taken together with the velocity potential , the stream function may be used to derive a complex potential. In other words, the stream function accounts for the solenoidal part of a two-dimensional Helmholtz decomposition , while the velocity potential ...
The black line is the boundary of the flow, while the darker blue lines are streamlines, and the lighter blue lines are equi-potential lines. Some interesting powers n are: [12] n = 1 / 2 : this corresponds with flow around a semi-infinite plate, n = 2 / 3 : flow around a right corner, n = 1: a trivial case of uniform flow,
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The linear accelerator could produce higher particle energies than the previous electrostatic particle accelerators (the Cockcroft–Walton accelerator and Van de Graaff generator) that were in use when it was invented.
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