The threehyphen;dimensional problem of a charged spherical particle immersed in an ionic solution is solved asymptotically. The small parameter used is dgr;/a, where dgr; is the Debye screening distance andathe radius of the particle. The solutions to the Poissonndash;Boltzmann equation are obtained inside the double layer and outside the double layer. They are matched together asymptotically to obtain a solution whose error is of order dgr;2/a2smaller than the expression kept. A uniform solution valid in all the regions is also obtained. Comparison with numerical solution to the problem, which is usually tedious, shows excellent agreement.
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