This paper deals with the numerical analysis of the Problem No. 32 of the TEAM Workshops. This is a three-limbed ferromagnetic core with pick up coils, which is a test bench for validation of numerical analysis with hysteresis. The numerical procedure is based on the magnetic field computation taking the hysteresis into account. The scalar Preisach model is integrated into a finite element analysis. The hysteretic nonlinearity is handled by the fixed point iterative technique. The results are validated by comparison with the experiments.