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Paschen's law is an equation that gives the breakdown voltage, that is, ... is about 7.5 μm. The voltage required to arc this distance is 327 V, which is ...
The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.
Paschen-Back effect, the splitting of atomic energy levels in the presence of a strong magnetic field Paschen series, a Hydrogen spectral series in the infrared band Paschen's law , an equation that gives the breakdown voltage, that is the voltage necessary to start a discharge or electric arc, between two electrodes in a gas as a function of ...
The relationship between this breakdown voltage and the pd product—where p is the gas pressure and d is the distance between the electrodes—is referred to as Paschen's law. [1] [2] For a range of gas molecules, the breakdown voltage estimated by Paschen's law has a minimum value of around pd = 1-10 Torr cm. This suggests that in order to ...
Louis Carl Heinrich Friedrich Paschen (22 January 1865 – 25 February 1947) was a German physicist, known for his work on electrical discharges. He is also known for the Paschen series , a series of hydrogen spectral lines in the infrared region that he first observed in 1908.
Townsend observed currents varying exponentially over ten or more orders of magnitude with a constant applied voltage when the distance between the plates was varied. He also discovered that gas pressure influenced conduction: he was able to generate ions in gases at low pressure with a much lower voltage than that required to generate a spark.
A metric or distance function is a function d which takes pairs of points or objects to real numbers and satisfies the following rules: The distance between an object and itself is always zero. The distance between distinct objects is always positive. Distance is symmetric: the distance from x to y is always the same as the distance from y to x.
The formula for the closest point to the origin may be expressed more succinctly using notation from linear algebra. The expression a x + b y + c z {\displaystyle ax+by+cz} in the definition of a plane is a dot product ( a , b , c ) ⋅ ( x , y , z ) {\displaystyle (a,b,c)\cdot (x,y,z)} , and the expression a 2 + b 2 + c 2 {\displaystyle a^{2 ...