A transversal field heating installation for inductively heating flat objects transported in an advancing direction includes at least one inductor unit that extends across the width of the flat object. The inductor unit has at least two superimposed inductor layers parallel to the plane of the flat object. These inductor layers can be independently displaced transversally in relation to the advancing direction of the flat object, and each have two inductor sections with two parallel interspaced base limbs extending transversally in relation to the advancing direction and one lateral limb. Each inductor layer has lateral limb per strip edge of the flat object. The inductor sections of an inductor layer can be independently displaced transversally in relation to the advancing direction of the flat object.