In a previous paper [Cruz de Leon et al., Chem. Phys. Lett. 207, 294 (1993)], we have derived a formalism to calculate the dynamic friction function of a charged tracer macroparticle in a multicomponent ionic solution. Here we apply this theoretical scheme to describe the electrokinetic properties of a charged tracer immersed in a solution in the presence of a time-dependent external driving force. We derive analytic expressions for the self-diffusion coefficient and the electrophoretic mobility. We compute the Van Hove self-correlation function and compare it with previous results. As an example we compute the electrophoretic mobility in the presence of a time-independent external driving force within well-defined limits and approximations. We obtain complete results in the absence of hydrodynamic interactions. Our results derived here provide a framework to describe the dynamics of a charged tracer.