An iterative procedure was formulated for finding the equilibrium surface profile of a drop that is formed in the axisymmetrical electric field induced by the dipole of the condensation center. By simultaneous consideration of the Laplacian hydrostatic formula (which makes allowance for the curvature of the drop surface and for the electric field of the central dipole) and Laplace's electrostatic equation, the correction for the non-sphericity of the surface, the chemical potential, and the work of the drop formation were calculated. The dependence of these parameters on the number of condensate molecules in the drop and on the dipole moment of the condensation center was determined in analytical form.