The evolution of the return current induced by a charged particle beam
in a magnetized plasma is studied. The beam current is perpendicular
to the background magnetic field. The return current is shown to depar
t from the beam along the background magnetic field with a whistler ra
ther than a diffusion or an Alfven velocity. In a plasma bounded by tw
o conductors the return current oscillates with the whistler period. A
nalytical expressions for the evolution of the magnetic field and of t
he plasma return current are derived for a beam with a finite width an
d with various rise time dependences. When the whistler time is shorte
r than the rise time of the beam current, the plasma return current do
es not grow beyond the whistler time.