VectorPotential - Maple Help
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Student[VectorCalculus]

 VectorPotential
 compute the vector potential of a vector field in R^3

 Calling Sequence VectorPotential(v)

Parameters

 v - vector field or Vector-valued procedure; specify the components of the vector field in R^3

Description

 • The VectorPotential(v) calling sequence computes the vector potential of the vector field v.  The result is a vector field F such that $\mathrm{Curl}\left(F\right)=v$ (that is, the curl of $F$ is the field $v$).  If a vector potential does not exist, NULL is returned.
 • If v is a vector field, a vector field is returned.  If v is a procedure, a procedure is returned.

Examples

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{VectorCalculus}\right]\right):$
 > $v≔\mathrm{VectorField}\left(⟨y,-x,0⟩\right)$
 > $\mathrm{VectorPotential}\left(v\right)$
 > 
 > $\mathrm{SetCoordinates}\left(\mathrm{cylindrical}\left[r,\mathrm{\theta },z\right]\right)$
 ${{\mathrm{cylindrical}}}_{{r}{,}{\mathrm{\theta }}{,}{z}}$ (1)
 > $v≔\mathrm{VectorField}\left(⟨r,0,-2z⟩\right)$
 > $\mathrm{VectorPotential}\left(v\right)$
 >