This paper proposes a new macroscopic physical model of ferromagnetic coils used in audio circuits. To account for realistic
saturation and hysteretic phenomena, this model combines statistical physics results, measurement-driven refinements and portHamiltonian formulations that guarantee passivity, thermodynamic
consistency and composability according to both electric and thermal ports. As an illustration, the model is used to simulate a passive high-pass filter. Different types of audio inputs are considered
and simulations are compared to measurements.