Current-driven dust-acoustic wave instabilities in a collisional plasma wit
h variable-charge dusts are studied. The effects of electron and ion captur
e by the dust grains, the ion drag force, as well as dissipative mechanisms
leading to changes in the particle numbers and momenta, are taken into acc
ount. Conditions for the instability are obtained and discussed for both we
ak and strong ion drag. It is shown that the threshold external electric fi
eld driving the current is relatively large in dusty plasmas because of the
large dissipation rates induced by the dusts. The current-driven instabili
ty may be associated with dust cloud filamentation at the initial stages of
void formation in dusty RF discharge experiments.