VectorCalculus
VectorPotential
compute a vector potential of a vector field in R^3
Calling Sequence
Parameters
Description
Examples
VectorPotential(v)
v
-
vector field or Vector valued procedure; specify the components of the vector field in R^3
The VectorPotential(v) command computes a vector potential of the vector field v. The result is a vector field F such that CurlF=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.
withVectorCalculus:
SetCoordinatescartesianx,y,z
cartesianx,y,z
v≔VectorFieldy,−x,0
VectorPotentialv
SetCoordinatescylindricalr,θ,z
cylindricalr,θ,z
v≔VectorFieldr,0,−2z
See Also
VectorCalculus[CrossProduct]
VectorCalculus[Curl]
VectorCalculus[ScalarPotential]
VectorCalculus[SetCoordinates]
VectorCalculus[Vector]
VectorCalculus[VectorField]
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