A fixing apparatus has a coil for forming a magnetic field; a fixing rotatable
member for fixing an unfixed toner image carried on a recording material thereon
by heat generated by eddy currents which is generated by the magnetic field; an
electric power supply control for controlling electric power supply to the coil;
and a rotating mechanism for rotating the fixing rotatable member. On the basis
of a state of rotation of the fixing rotatable member a predetermined time after
operation the rotating mechanism, the electric power supply to the coil thereafter
is selectively carried out.