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The tesla (symbol: T) is the unit of magnetic flux density (also called magnetic B-field strength) in the International System of Units (SI). One tesla is equal to one weber per square metre .
The gauss is the unit of magnetic flux density B in the system of Gaussian units and is equal to Mx/cm 2 or g/Bi/s 2, while the oersted is the unit of H-field. One tesla (T) corresponds to 10 4 gauss, and one ampere (A) per metre corresponds to 4π × 10 −3 oersted.
Gauss's principle is equivalent to D'Alembert's principle. The principle of least constraint is qualitatively similar to Hamilton's principle, which states that the true path taken by a mechanical system is an extremum of the action. However, Gauss's principle is a true (local) minimal principle, whereas the other is an extremal principle.
In physics (specifically electromagnetism), Gauss's law, also known as Gauss's flux theorem (or sometimes Gauss's theorem), is one of Maxwell's equations. It is an application of the divergence theorem , and it relates the distribution of electric charge to the resulting electric field .
In classical mechanics, the Udwadia–Kalaba formulation is a method for deriving the equations of motion of a constrained mechanical system. [1] [2] The method was first described by Anatolii Fedorovich Vereshchagin [3] [4] for the particular case of robotic arms, and later generalized to all mechanical systems by Firdaus E. Udwadia and Robert E. Kalaba in 1992. [5]
In three dimensions, the derivative has a special structure allowing the introduction of a cross product: = + = + from which it is easily seen that Gauss's law is the scalar part, the Ampère–Maxwell law is the vector part, Faraday's law is the pseudovector part, and Gauss's law for magnetism is the pseudoscalar part of the equation.
10 −1 T: decitesla: 100 mT: 1 kG: Penny-sized neodymium magnet: 150 mT: 1.5 kG: Sunspot: 10 0 T tesla 1 T: 10 kG: Inside the core of a 60 Hz power transformer (1 T to 2 T as of 2001) [10] [11] or voice coil gap of a loudspeaker magnet (1 T to 2.4 T as of 2006) [12] 1.5 T to 7 T: 15 kG to 70 kG
Gauss's law Gauss's law for magnetism Gauss's principle of least constraint Gauss's digamma theorem Gauss's hypergeometric theorem Gaussian function See also: List of things named after Carl Friedrich Gauss: Mathematics, Physics: Johann Carl Friedrich Gauss: Gay-Lussac's law: Chemistry: Joseph Louis Gay-Lussac: Gibbs–Helmholtz equation ...