The impedance Z of a solenoid with a conducting piece near it when capacity effects are neglected is Z = R + jωL with (1) R=Re−NωφosinϕIo (2) L=NωφocosϕIo where Re is the resistance of the wire of the coil, N is the number of single turns of the coil, Φo is the amplitude of the mean magnetic flux crossing the coil, Io is the amplitude of the current I circulating in the coil, ω is the pulsation of the current and ϕ is the phase of the flux relative to the current.