In a tomography apparatus and a method for operating a tomography apparatus for generation of multiple energy images, in which high-energy projections and low-energy projections are acquired by alternating adjustment of a voltage and a further control variable (namely the current or the exposure time), given a set first voltage value and a set first control value of the further control variable, and given a set second voltage value and a set second control value of the further control variable, x-rays generated by an x-ray radiator exhibit essentially the same x-ray dose or photon flow.