A gas filter that includes a filter medium configured to filter a gas flow propagating from an upstream facing side through the filter medium to a downstream facing side. The filter medium includes a capacitor with a first electrode, a second electrode , and a dielectric medium. The gas filter also includes a first electrical contact and a second electrical contact such that if the first electrical contact is electrically connected via a first resistor to a branching point and the second electrical contact is electrically connected via a second resistor the same branching point. Further, the first electrode is preferably electrically connected to such branching point and the second electrode is preferably electrically connected to the second electrical contact.