Energy efficient topology in Ad-hoc networks can be achieved mainly in two different ways. In the first method, network maintains a small number of nodes to form a connected backbone and the remaining nodes sleep to conserve energy. This method is effective for low traffic networks. Energy efficiency in the second method is achieved by power control technique. This technique is effective in high traffic conditions. The first method is not effective in high traffic conditions. Similarly, the second method is not effective in low traffic networks. So, in this paper we propose a Demand Based Energy efficient Topology (DBET) to reduce the energy consumption for mobile ad hoc network, by dynamically adjusting the topology for various network traffic conditions. We have simulated our proposed protocol DBET by using AODV as routing protocol in network simulator ns2.33 and compared with AODV and SPAN. The simulation studies revealed that the proposed scheme perform better in terms of energy, delay, and delivery ratio.