An electrode arrangement for an electric field sensor device with a transmitting electrode and at least one receiving electrode may have a nonconductive substrate having a first conductive layer and a second conductive layer. A first electrode is arranged within the first conductive layer, wherein the first electrode is a receiving electrode of the electric field sensor device, and a second electrode is arranged within the second conductive layer, wherein the second electrode is a transmitting electrode of the electric field sensor device wherein the second electrode covers a larger area than the first electrode and wherein the second electrode is textured to reduce the capacitance between the first and second electrode.