The total, temporally averaged, expected power density loss due to the combined actions of the Barkhausen (B) and Pry–Bean (PB) mechanisms is p¯ = (&rgr;/V)(JB+JPB)2 dV           (1)                = p¯B+p¯PB+2(&rgr;/V)JB⋅JPB dV  where p¯Bis given by Eq. (II.15),b)p¯PBis the expression derived by Pry and Bean, multiplied by (1−K)2, andVis the domain volume. The last term in Eq. (1) is a result of the simultaneus occurrence of both currents. In evaluating p¯Bit was noted in paper II that the B currents from each switching site/section only flow for the time &tgr; so that it was appropriate to consider energies instead of power. In terms of Eq. (II.15): p¯B=fE(w),wheref= frequency. This consideration must also enter into the cross term in Eq. (1). Space in this abstract limits the discussion of this term, but one may estimate its behavior by taking the currents to be rms values. Then             p¯ = ˙p¯B+p¯PB+2(pB pPB)1/2.              (2)   SincepPB∝f2andpB∝f, this cross term varies asf3/2; the energy density per cycle becomes             W= p¯ /f= ˙(A1+A2&sqrt;f¯+A3f)C,     (3)   where theA’s are functions of the model parametersKanda, andCis a common function of the material properties. The middle term in Eq. (3) is new. Comparison with experiments and analysis of data available in the literature is difficult and unreliable because of the uncertain sample parameters and magnetic state relative to the assumptions entering Eq. (3). However, several works on 3.5% Si‐Fe lead us to infer the values:a≊10 000/sec andK≊0.1. Similarly, direct comparison of Eq. (3) is inconclusive although some agreement is found in cases where the experimental magnetic parameters can be determined. The traditional view of magnetic reversal has large wall traps and smaller Barkhausen switches superimposed upon the continuous wall motion. These all may actually represent different regimes of a continuous distribution of behavioral properties. The present model separates and approximates the trapped regions and larger Barkhausen switches; the literature experiments on Barkhausen effect, from which the parameter valuesaandKwere derived, probably also reflect this separation. More work is necessary to develop the full distribution properties.    a)This work will be reported more fully in the near future.  b)B. E. Lorenz and R. L. Coren, J. Appl. Phys. 53 XXXX (1982) (preceding paper).