  We describe a N=2 supersymmetric extension of the nonrelativistic
(2+1)-dimensional model describing particles on the noncommutative plane with
scalar (electric) and vector (magnetic) interactions.
  First, we employ the N=2 superfield technique and show that in the presence
of a scalar N=2 superpotential the magnetic interaction is implied by the
presence of noncommutativity of position variables. Further, by expressing the
supersymmetric Hamiltonian as a bilinear in N=2 supercharges we obtain two
supersymmetric models with electromagnetic interactions and two different
noncanonical symplectic structures describing noncommutativity. We show that
both models are related by a map of the Seiberg-Witten type.
