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When the charge densities on the inner and outer surface of the vesiclemembrane are similar one may assume that the potential at a point closer to theouter/inner surface is more affected by the charges located at the outer/innersurface of the vesicle membrane. However, because of the curvature of thevesicle and the screening effect of the electrolyte ions the situation is morecomplicated. When the charge densities at the inner and outer surface of thevesicle membrane are the same then at any finite distance Z from the center ofthe vesicle the contribution of the charges, located at the outer membranesurface, to the vesicle potential Vex is different from the contribution of thecharges, located at the inner membrane surface, to the vesicle potential Vin.At low electrolyte ion concentrations (from C=0 to 0.00001 [Mol]) Vex/Vin>1 andincreases with increasing distance from the center of the vesicle until theexternal surface of the vesicle membrane. With further increasing distanceVex/Vin remains constant at C=0 [Mol], while at C>0 [Mol] it starts decreasing.However, at high electrolyte ion concentrations (C>0.01 [Mol]) with increasingdistance from the center of the vesicle Vex/Vin reaches its maximum at theinternal surface of the vesicle membrane. With further increasing distance,close to the outer surface of the vesicle Vex/Vin becomes less than 1 (i.e. thecharges at the inner surface of the membrane contribute to the potential morethan the charges at the outer surface). Further increasing the distance Vex/Vinreaches its minimum and then increases to 1 (i.e. the charges at the innersurface of the membrane contribute to the potential like the charges at theouter surface of the membrane). With increasing electrolyte ion concentrationthe minimum of Vex/Vin is getting deeper (approaching zero) and its location isgetting closer to the outer surface of the vesicle.

On the cause of Zeta potential of a charged vesicle. The extra- and  intravesicular membrane charges contribute differently to the extra- and  intravesicular potential