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Web browsing is expected to be one of the most widely used applications over the future generations of wireless networks. The radio resource control (RRC) protocol configuration for maximum radio system capacity and optimum application performance depends on the characteristics of the network, the system and the application data traffic. It is essential to estimate, a priori, the required values of the RRC protocol configuration parameters so that the system can be configured for optimum performance. In this paper we consider the support of Web browsing applications over the 3rd generation wireless networks. We perform a sensitivity analysis of the Web browsing performance, system control overhead and the RRC protocol parameter values for various network and application characteristics. We also estimate these RRC parameter values for optimum operating condition considering realistic models of the network, system and applications. From the simulation results, we observe that the required system control overhead for optimum Web browsing performance is small in realistic scenarios of 3rd generation wireless networks.