 VectorPotential - Maple Help

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

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