The renormalized jellium (RJ) approximation method to calculate the equation of state for charged colloidal suspensions is re-evaluated and a simple explicit approach that facilitates the renormalization procedure that is easy to implement in different situations is provided. The system under consideration is a charged colloidal suspension of a certain volume fraction and the RJ model is assumed. The RJ model assumes that the charge of colloidal particles around a tagged macroion is smeared out in the whole suspension to form a homogeneous background with elementary charge. The main limiting cases of the effective charge at small bare charges and at large bare charges are captured. The RJ model is successfully extended to the case of cylindrical colloids, in which nematic phase of parallel cylinders with a certain radius and infinite length, carrying a bare line charge density is assumed. The reformulation is applicable to the spherical case and can be extended in a large variety of situations, such as polydisperse charged systems.
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