A voltage-operated layered arrangement comprising a substrate (1), a layered structure (2, 3, 4, 5) that is applied to the substrate and that comprises at least one electrically conductive functional layer (3) arranged between a first electrode (2) and a second electrode (4), and a field-degrading layer (5) that is less electrically conductive than the functional layer (3) and that is applied to the second electrode (4) arranged on the side of the layered structure remote from the substrate in such a way that it covers the second electrode (4) at least in the region of an edge (4a) and connects the second electrode (4) to the first electrode (2) electrically.