An apparatus includes a coil generating magnetic flux, a rotatable heater generating heat by the flux generated from the coil, for heating an image on a recording material, magnetic cores provided outside the heater and arranged in a rotational axis direction of the heater, a first mover moving at least a part of the cores from a first position to a second position spaced form the coils, an adjuster, movable between the cores and the heater, for reducing the flux directed from the cores toward the heater, and a second mover moving, when a first core in a non-sheet-passing area of the recording material is moved to the second position by the first mover and a second core adjacent to the first core in the non-sheet-passing area is disposed at the first position to heat the image, the adjuster to a position corresponding to the second core.