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Power control is a challenging problem in wireless sensor networks (WSNs), which directly influences the performance of the networks and sensor lifetime. To solve the problem radically in the low rate ultra wideband (UWB) WSNs, this paper presents an optimal transmission power selecting algorithm (OTPSA), the goal of which is to get an optimal transmission power value based on the maximum transmission rate and background noise level. The implementing feasibility, complexity and cost of the proposed algorithm have been analyzed in detail. The simulative results clearly show that the power consumed under OTPSA is greatly less than the maximum power gotten at each node.