When we analyze current on thin wire structures, the distributed constant circuit model cannot be applied to the structures that have no return path. For this reason, our group has proposed a single-conductor transmission line model. The wave equation in our model includes the loss as retarded reaction of radiated electric field. Based on the model, we formulated the equations for the network constructed by thin conductor lines on a plane. At the nodes of the lines we assumed the continuity conditions of linear charge densities and currents and we confirmed the conditions to be appropriate.
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