A filter includes a dust collecting unit, and the dust collecting unit includes: a filter media formed in a wrinkle shape including a plurality of bent parts folded up and down in a direction parallel to a plurality of parallel patterns and a connection part; a conductive coating layer pattern including a plurality of parallel patterns; and a first power source electrically connected to a first end and a second end of the conductive coating layer pattern and configured to apply a voltage, wherein the connection part connects the adjacent bent parts, a parallel pattern of the plurality of parallel patterns is disposed in the connection part, and the plurality of parallel patterns includes a first and a second adjacent parallel patterns, and a first current flowing through the first adjacent parallel flows in a direction opposite to a second current flowing through the second adjacent parallel pattern.