  We analyze the energy terms corresponding to the spin-spin exchange and
spin-random field coupling of the zero temperature random-field Ising model on
the Bethe lattice driven by an external field with metastable dynamics. Exact
results are calculated as a function of the standard deviation of the disorder
and the coordination number z, and compared with numerical simulations on
random graphs for z=4, for which a disorder-induced transition takes place.
