This work is a study of resistive circuits which present a characteristic of self similarity in their configuration.The construction of these circuits is made in a self recursive way, analogously to a self similar fractal.The circuits are analyzed by their equivalent resistance, and a condition for convergence of this quantity is obtained.Auxiliary concepts that are necessary to this dissertation theme treat the resistive circuit as a graph, and concepts involving self similar fractals.It is proposed at the end of each chapter interdisciplinary activities that are accessible to high school students, with topics involving equivalent resistence, sequences, sets, and notions of area and perimeter.