Articoli correlati a Vector Potential: Scalar Potential, Vector Field, Vector...

Vector Potential: Scalar Potential, Vector Field, Vector Calculus, Gradient, Solenoidal Vector Field, Smooth Function - Brossura

 
9786131138454: Vector Potential: Scalar Potential, Vector Field, Vector Calculus, Gradient, Solenoidal Vector Field, Smooth Function

Sinossi

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar field whose negative gradient is a given vector field. An interesting question is then if any solenoidal vector field admits a vector potential. The answer is affirmative, if the vector field satisfies certain conditions. A generalization of this theorem is the Helmholtz decomposition which states that any vector field can be decomposed as a sum of a solenoidal vector field and an irrotational vector field. This nonuniqueness leads to a degree of freedom in the formulation of electrodynamics, or gauge freedom, and requires choosing a gauge.

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