The equilibrium properties of gravitating dusty plasmas are analyzed. The present analysis indicates that a proper equilibrium of a gravitating system requires the presence of a large scale electric field. It is found that such an electric field, arising from the charge separation plays a decisive role in maintaining the equilibrium. Explicit expressions for plasma particle number densities are presented. The results could resolve the problem of Jeans's swindle in a nonuniform plasma with massive dust grains.