This letter deliberates bridging of overall electricity power requirements of the optical network unit (ONU) with the entropy noted through the ONU state transition models considered in ethernet passive optical network (EPON). The entropy depends on the steady state and transition probabilities of data. On the other hand, the power requirements (consumption) of ONUs depend on the steady sate probability of ONUs. The potential relation derived between the entropy and electrical power reveals that they related exponentially but for their logarithmic reliance. Also, the relation is validated through the numerical simulation. The deduced relation has its importance to understand the nuances of one entity given the other.