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We study the axisymmetric deformation and stability of an electrolyte drop freely suspended in an infinite dielectric medium subject to a uniform electric field.To model the electrolyte drop,ions are assumed to be at thermal equilibrium which enables the usage of Poisson-Boltzmann equation for the electric potential,which is further reduced to a modified Helmholtz equation via a small electric potential assumption in Debye-Huckel regime.