英语词汇“scalar potential”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

a. A quantity of energy, work, etc., expressed by a potential function and associated with each point in a gravitational, electrical, or other field, being equivalent to that required to move a body, charge, etc., from the given point to a reference point whose potential is arbitrarily defined as zero (e.g. the earth, infinity); such a quantity considered as a quality or condition of the matter, electricity, etc., in question. Also: a potential function; (more widely) any function from which a vector field F can be derived by differentiation, esp. (more fully scalar potential) a scalar function ϕ such that F = − grad ϕ, and (more fully vector potential) a vector field A such that F = curl A.action, electric, gravitational, ionization, oxidation, velocity potential, etc.: see the first element. [Introduced in 1828, by G. Green, with special reference to electricity (see quot. 1828, and quot. 1828 at potential function n.). However, compare G. F. Becker in Amer. Jrnl. Sci. (1893) 145 97: ‘Potential as the name of a function was undoubtedly introduced by Gauss in 1840’ (C. F. Gauss in Resultate aus den Beobachtungen der magnetischen Vereins im Jahre 1839 (1840) 4: ‘Zur bequemern Handhabung..werden wir uns erlauben dieses V mit einer besonderen Benennung zu belegen, und diese Grösse das Potential der Massen, worauf sie sich bezieht, nennen’).]

ΘΚΠ

the world > matter > physics > energy or power of doing work > [noun] > quantity expressed by potential function

potential1828

the world > matter > physics > electromagnetic radiation > electricity > voltage > electrical potential > [noun]

tension1785

electric tension1802

potential1828

potential function1828

pd1887

pressure1889

potentiality1898

1828 G. Green Ess. on Applic. Math. Anal. to Electr. & Magnetism 16 This equation is remarkable on account of its simplicity and singularity, seeing that it gives the value of the potential for any point p′, within the surface, when V, its value at the surface itself, is known.

1853 W. Thomson in London, Edinb. & Dublin Philos. Mag. 4th Ser. 5 288 The potential at any point in the neighbourhood of or within a charged body is the quantity of work that would be required to bring a unit of positive electricity from an infinite distance to that point if the given distribution of electricity remained unaltered.

1873 J. C. Maxwell Treat. Electr. & Magnetism II. iii. ii. 27 (heading) The Vector-Potential of Magnetic induction.

1882 G. M. Minchin Uniplanar Kinematics 135 The function ϕ is called the potential-function of the strain, and the curves obtained by varying the constant in the equation ϕ = C are called curves of equal potential.

1898 Engin. Mag. 16 101 ‘High potential’ electrical heat for irons, broilers, chafing dishes, and local applications.

1909 J. G. Coffin Vector Anal. vi. 173 We obtain H =..∇ × Q... Q is called the potential due to the current distribution q, or the vector-potential belonging to the magnetic force H... The force vector H is obtained from the vector Q in a manner analogous to the way the force vector F is obtained from the scalar V, where..F = ∇V.

1933 H. B. Phillips Vector Anal. v. 102 When the potential is known the velocity can be obtained by differentiation. If a potential exists it is simpler to describe the motion by means of it rather than the velocity.

1971 W. Hauser Introd. Princ. Electromagn. iii. 77 Vector function F₁ is a curl-less vector function... It is therefore expressible as the negative gradient of a scalar function of position. We thus set F₁ = − ∇ψ(r), where the function ψ(x, y, z) is referred to as the scalar potential of F₁.

1989 Engineering July 6/3 The way to prevent static build-up is by ensuring that all parts of the factory environment are at zero potential.

2004 Nature 29 July 517/1 The complex forces between the constituents of the nucleus produce an average potential that is central and that results in well-defined orbits for the neutrons and protons.

单词	scalar potential
释义	> as lemmas scalar potential a. A quantity of energy, work, etc., expressed by a potential function and associated with each point in a gravitational, electrical, or other field, being equivalent to that required to move a body, charge, etc., from the given point to a reference point whose potential is arbitrarily defined as zero (e.g. the earth, infinity); such a quantity considered as a quality or condition of the matter, electricity, etc., in question. Also: a potential function; (more widely) any function from which a vector field F can be derived by differentiation, esp. (more fully scalar potential) a scalar function ϕ such that F = − grad ϕ, and (more fully vector potential) a vector field A such that F = curl A.action, electric, gravitational, ionization, oxidation, velocity potential, etc.: see the first element. [Introduced in 1828, by G. Green, with special reference to electricity (see quot. 1828, and quot. 1828 at potential function n.). However, compare G. F. Becker in Amer. Jrnl. Sci. (1893) 145 97: ‘Potential as the name of a function was undoubtedly introduced by Gauss in 1840’ (C. F. Gauss in Resultate aus den Beobachtungen der magnetischen Vereins im Jahre 1839 (1840) 4: ‘Zur bequemern Handhabung..werden wir uns erlauben dieses V mit einer besonderen Benennung zu belegen, und diese Grösse das Potential der Massen, worauf sie sich bezieht, nennen’).] ΘΚΠ the world > matter > physics > energy or power of doing work > [noun] > quantity expressed by potential function potential1828 the world > matter > physics > electromagnetic radiation > electricity > voltage > electrical potential > [noun] tension1785 electric tension1802 potential1828 potential function1828 pd1887 pressure1889 potentiality1898 1828 G. Green Ess. on Applic. Math. Anal. to Electr. & Magnetism 16 This equation is remarkable on account of its simplicity and singularity, seeing that it gives the value of the potential for any point p′, within the surface, when V, its value at the surface itself, is known. 1853 W. Thomson in London, Edinb. & Dublin Philos. Mag. 4th Ser. 5 288 The potential at any point in the neighbourhood of or within a charged body is the quantity of work that would be required to bring a unit of positive electricity from an infinite distance to that point if the given distribution of electricity remained unaltered. 1873 J. C. Maxwell Treat. Electr. & Magnetism II. iii. ii. 27 (heading) The Vector-Potential of Magnetic induction. 1882 G. M. Minchin Uniplanar Kinematics 135 The function ϕ is called the potential-function of the strain, and the curves obtained by varying the constant in the equation ϕ = C are called curves of equal potential. 1898 Engin. Mag. 16 101 ‘High potential’ electrical heat for irons, broilers, chafing dishes, and local applications. 1909 J. G. Coffin Vector Anal. vi. 173 We obtain H =..∇ × Q... Q is called the potential due to the current distribution q, or the vector-potential belonging to the magnetic force H... The force vector H is obtained from the vector Q in a manner analogous to the way the force vector F is obtained from the scalar V, where..F = ∇V. 1933 H. B. Phillips Vector Anal. v. 102 When the potential is known the velocity can be obtained by differentiation. If a potential exists it is simpler to describe the motion by means of it rather than the velocity. 1971 W. Hauser Introd. Princ. Electromagn. iii. 77 Vector function F₁ is a curl-less vector function... It is therefore expressible as the negative gradient of a scalar function of position. We thus set F₁ = − ∇ψ(r), where the function ψ(x, y, z) is referred to as the scalar potential of F₁. 1989 Engineering July 6/3 The way to prevent static build-up is by ensuring that all parts of the factory environment are at zero potential. 2004 Nature 29 July 517/1 The complex forces between the constituents of the nucleus produce an average potential that is central and that results in well-defined orbits for the neutrons and protons. extracted from potentialadj.n. < as lemmas
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