The application of wireless sensor networks is gradually gaining popularity in ubiquitous computing. They are used for military surveillance, home automation and monitoring, underwater surveillance, wearable sensor and many others. With their way of deployment and use, these tiny motes are mostly vulnerable to attacks and their mode of transfer of data depletes battery power leaving motes dead after a short while. In this paper an algorithm that can be used to minimize the energy consumed by sensor nodes communicating over multihop links is proposed. The algorithm employs unequal clustering technique taking into consideration the distance of the motes from the base station. Our algorithm considers a base station with sparsely distributed nodes that may not all receive adequate signal strength from the base station. Intuitive performance analysis of the proposed algorithm was done in comparison with EEUC and EAUCF considering their energy metrics and clustering techniques. From the preliminary results obtain, our algorithm performs better than the others and hence more stable and energy efficient clustering algorithm.