A filter assembly includes a manifold having an inlet and outlet port. The filter assembly further includes a filter cartridge. The filter cartridge includes a casing and a filter casing disposed within the casing. The filter cartridge also includes a gear rack, and an inlet and outlet port. The filter assembly further includes an electric motor configured to move the filter cartridge along an axial direction by rotating a gear coupled to the electric motor such that the gear meshes with the gear rack. The filter cartridge is movable between a first position in which the filter cartridge and manifold are not in fluid communication, and a second position in which the filter cartridge and the manifold are in fluid communication. A refrigerator appliance having the filter assembly is also provided.