Journal of the Korean Mathematical Society ( Vol.47 NO.6 / 2010 ) Title Identification of resistors in electrical networks(ENG) Author Soon-Yeong Chung MSC 94C15, 94C05, 94C12 Publication Page 1223-1238 Page Abstract 1. Introduction 2. Flows and potential functions 3. Energies of flows 4. Inverse problems Own Status Keyword resistor network, Thompson's principle, inverse problem Note Summary The purpose of this work is to identify the internal structure of the electrical networks with data obtained from only a part of network or the boundary of network. To be precise, it is discussed whether we can identify resistors or electrical conductivities of each link inside networks by the measurement of voltage on the boundary which is induced by a prescribed current on the boundary. As a result, it is shown that the structure of the resistor network can be determined uniquely by only one pair of the data (current, voltage) on the boundary, if the resistors satisfy an appropriate condition. Besides, several useful results about the energy functionals, which means the electrical power, are included. Attach [PDF]