A coated wire is solderable with soft solder while maintaining separate phases of the core and the coating. A 100 μm to 400 μm thick nickel wire may be coated galvanically with silver. For a film resistor with coated wires as connection wires, including a platinum measurement resistor on an electrically insulating substrate and connection wires connected to the measurement resistor, the connection wires have a coated nickel core. The coating may be made of silver or glass or ceramic or a mixture of these materials, or on its outside may be made of glass or ceramic or a mixture of these materials. For producing film resistors a thin metal or glass component is deposited on a connection wire connected to a track conductor arranged on an electrically insulating substrate, and a thick glass paste is deposited and fired on this metal or glass component. For mass production of film, several film resistors encased together in glass may be partitioned by fracturing.