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Steinmetz's equation, sometimes called the power equation, [1] is an empirical equation used to calculate the total power loss (core losses) per unit volume in magnetic materials when subjected to external sinusoidally varying magnetic flux.
Charles Proteus Steinmetz (born Karl August Rudolph Steinmetz; April 9, 1865 – October 26, 1923) was an American mathematician and electrical engineer and professor at Union College. He fostered the development of alternating current that made possible the expansion of the electric power industry in the United States, formulating mathematical ...
Steinmetz curves for various cases Steinmetz solid (intersection of two cylinders) involving Steinmetz curves (purple) A Steinmetz curve is the curve of intersection of two right circular cylinders of radii a {\displaystyle a} and b , {\displaystyle b,} whose axes intersect perpendicularly.
Continuous charge distribution. The volume charge density ρ is the amount of charge per unit volume (cube), surface charge density σ is amount per unit surface area (circle) with outward unit normal nĚ‚, d is the dipole moment between two point charges, the volume density of these is the polarization density P.
Steinmetz solid (intersection of two cylinders) In geometry, a Steinmetz solid is the solid body obtained as the intersection of two or three cylinders of equal radius at right angles. Each of the curves of the intersection of two cylinders is an ellipse. The intersection of two cylinders is called a bicylinder.
The Charles Proteus Steinmetz Memorial Lecture is a series of academic lectures initiated in 1925 [1] in honor of celebrated mathematician and electrical engineer Charles Proteus Steinmetz. To date seventy four addresses have been given on subjects ranging from peace [ 2 ] and educational reform [ 3 ] to nanotechnology [ 4 ] and solar ...
Given an electric field E and a magnetic field B defined on a common region of spacetime, the Riemann–Silberstein vector is = +, where c is the speed of light, with some authors preferring to multiply the right hand side by an overall constant /, where ε 0 is the permittivity of free space.
The Klein–Gordon equation, + =, was the first such equation to be obtained, even before the nonrelativistic one-particle Schrödinger equation, and applies to massive spinless particles. Historically, Dirac obtained the Dirac equation by seeking a differential equation that would be first-order in both time and space, a desirable property for ...