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We propose an analytical approximation for the dependence of the effectivecharge on the bare charge for spherical and cylindrical macro-ions as afunction of the size of the colloid and salt content, for the situation of aunique colloid immersed in a sea of electrolyte (where the definition of aneffective charge is non ambiguous).  Our approach is based on the Poisson-Boltzmann (PB) mean-field theory.Mathematically speaking, our estimate is asymptotically exact in the limit$\kappa a\gg 1$, where $a$ is the radius of the colloid and $\kappa$ theinverse screening length. In practice, a careful comparison with effectivecharges parameters obtained by numerically solving the full non-linear PBtheory proves that it is good down to $\kappa a\sim 1$. This is precisely thelimit appropriate to treat colloidal suspensions. A particular emphasis is puton the range of parameters suitable to describe both single and double strandDNA molecules under physiological conditions.Comment: Proceedings of the International Conference on Strongly Coupled  Coulomb Systems, Santa Fe (2002

Effective charge versus bare charge: an analytical estimate for colloids in the infinite dilution limit