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Planar transformers [1] are high frequency transformers used in isolated switchmode power supplies operating at high frequency. As opposed to conventional "wire-wound-on-a-bobbin" transformers, planar transformers usually contain winding turns made of thin copper sheets riveted together at the ends of turns in the case of high current windings ...
Coplanar waveguides play an important role in the field of solid state quantum computing, e.g. for the coupling of microwave photons to a superconducting qubit.In particular the research field of circuit quantum electrodynamics was initiated with coplanar waveguide resonators as crucial elements that allow for high field strength and thus strong coupling to a superconducting qubit by confining ...
A plane segment or planar region (or simply "plane", in lay use) is a planar surface region; it is analogous to a line segment. A bivector is an oriented plane segment, analogous to directed line segments. [a] A face is a plane segment bounding a solid object. [1] A slab is a region bounded by two parallel planes.
Planar, the structure resulting from the planar process used in the manufacture of semiconductor devices, such as planar transistors; Planar graph, graph that can be drawn in the plane so that no edges cross; Planar mechanism, a system of parts whose motion is constrained to a two-dimensional plane
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other. [9] Such a drawing is called a plane graph or planar embedding of the graph.
In chemistry, trigonal planar is a molecular geometry model with one atom at the center and three atoms at the corners of an equilateral triangle, called peripheral atoms, all in one plane. [1] In an ideal trigonal planar species, all three ligands are identical and all bond angles are 120°. Such species belong to the point group D 3h.
Proof without words that a hypercube graph is non-planar using Kuratowski's or Wagner's theorems and finding either K 5 (top) or K 3,3 (bottom) subgraphs. Wagner published both theorems in 1937, [1] subsequent to the 1930 publication of Kuratowski's theorem, [2] according to which a graph is planar if and only if it does not contain as a subgraph a subdivision of one of the same two forbidden ...
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