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As one of data-gathering applications in information technologies, Wireless Sensor Network (WSN) has attracted more and more people's attention. A key challenge is achieving energy consumption distribution of nodes for WSN with any scale in any general regions to the effect that node deployment density can be made to prolong system's lifetime. In this paper, we explore the optimal location of sink to prolong the network lifetime, give the definition of Information Barycenter and set up a model for WSN with nodes deployed ideally in monitored region. EC curve is proposed to reveal that energy consumption of nodes on different locations takes on curve shift along with its distance to sink. Simulations are carried out to pick up energy consumption of nodes on different positions on the preconditions that all the nodes are deployed in the interested region with uniform distribution or stochastic distribution to validate the availability of the EC curve.