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 gradient is a given vector field.
Formally, given a vector field v, a vector potential is a vector field A such that
If a vector field v admits a vector potential A, then from the equality
(divergence of the curl is zero) one obtains
which implies that v must be a solenoidal vector field.
Read more about Vector Potential: Theorem, Nonuniqueness
Famous quotes containing the word potential:
“The germ of violence is laid bare in the child abuser by the sheer accident of his individual experience ... in a word, to a greater degree than we like to admit, we are all potential child abusers.”
—F. Gonzalez-Crussi, Mexican professor of pathology, author. “Reflections on Child Abuse,” Notes of an Anatomist (1985)