-- If the ends of the wire loop are open (not connected to anything)
then there's never any current in it, no matter what you do with the
magnet.
-- If there's some kind of conductor between the ends of the wire
loop, then
-- While you're pushing the magnet, a current is flowing in the wire.
The current creates a magnetic field around the wire, and some of
the energy you're using to push gets stored in the magnetic field.
-- When you stop pushing and the magnet stops moving, the energy
stored in the magnetic field keeps the current flowing in the wire for
a short time, and then everything stops.
This all happens so fast, and lasts for such a short time, that you'd
never notice it unless you were set up with special equipment to
measure it.
