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Scalar potential and Vector potential

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Scalar potential and Vector potential

Scalar potential vs. Vector potential

In mathematical physics, scalar potential describes the situation where the difference in the potential energies of an object in two different positions depends only on the positions, not upon the path taken by the object in traveling from one position to the other. In vector calculus, a vector potential is a vector field whose curl is a given vector field.

Similarities between Scalar potential and Vector potential

Scalar potential and Vector potential have 8 things in common (in Unionpedia): Conservative vector field, Curl (mathematics), Divergence, Gradient, Helmholtz decomposition, Solenoidal vector field, Vector calculus, Vector field.

Conservative vector field

In vector calculus, a conservative vector field is a vector field that is the gradient of some function.

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Curl (mathematics)

In vector calculus, the curl, also known as rotor, is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional Euclidean space.

Curl (mathematics) and Scalar potential · Curl (mathematics) and Vector potential · See more »

Divergence

In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the quantity of the vector field's source at each point.

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Gradient

In vector calculus, the gradient of a scalar-valued differentiable function f of several variables is the vector field (or vector-valued function) \nabla f whose value at a point p gives the direction and the rate of fastest increase.

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Helmholtz decomposition

In physics and mathematics, the Helmholtz decomposition theorem or the fundamental theorem of vector calculus states that any sufficiently smooth, rapidly decaying vector field in three dimensions can be resolved into the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field.

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Solenoidal vector field

In vector calculus a solenoidal vector field (also known as an incompressible vector field, a divergence-free vector field, or a '''transverse vector field''') is a vector field v with divergence zero at all points in the field: \nabla \cdot \mathbf.

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Vector calculus

Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional Euclidean space, \mathbb^3.

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Vector field

In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space \mathbb^n.

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The list above answers the following questions

Scalar potential and Vector potential Comparison

Scalar potential has 59 relations, while Vector potential has 19. As they have in common 8, the Jaccard index is 10.26% = 8 / (59 + 19).

References

This article shows the relationship between Scalar potential and Vector potential. To access each article from which the information was extracted, please visit: