The invention relates to a method for controlling a current fed to an electric motor during an operation to mount a tire on a rim of a wheel including the tire and the rim, or to demount the tire from the rim. The wheel is rotated by an electric motor about an axis, and the motor current fed to the electric motor is controlled dependent on the rotational speed and torque required for the mounting and/or demounting operation. The motor current is automatically changed to cause the electric motor to apply a high torque peak to rotate the wheel, when the motor current is measured to be greater than a preset limit at a low rotational speed during a preset time. Furthermore, the invention relates to an apparatus for mounting a tire on a rim or demounting the tire from the rim.