A tire comprising a tread block made of tread material, a tread, of which a part is formed by the tread block, and an insert comprising a primary capacitive component and a primary inductive component. The insert extends in a longitudinal direction from a bottom of the insert to a top of the insert. The insert has a first cross section at a first longitudinal position and a second cross section at a second longitudinal position, wherein the first longitudinal position is located closer to the tread of the tire than the second longitudinal position, and the second cross section is greater than the first cross section. At least a part of the top of the insert does not form an interface with the tread material. A method for applying an insert into a tire. An insert is inserted into a blind hole of the tire such that the bottom of the insert is inserted deeper in the blind hole than the top of the insert.