  We report on the transition from magnetic edge to electric edge transport in
a split magnetic gate device which applies a notch magnetic field to a
two-dimensional electron gas. The gate bias allows tuning the overlap of
magnetic and electric edge wavefunctions on the scale of the magnetic length.
Conduction at magnetic edges - in the 2D-bulk - is found to compete with
conduction at electric edges until magnetic edges become depleted. Current
lines then move to the electrostatic edges as in the conventional quantum Hall
picture. The conductivity was modelled using the quantum Boltzmann equation in
the exact hybrid potential. The theory predicts the features of the bulk-edge
cross-over in good agreement with experiment.
