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To solve the problems of film resistors laser trimming, finding the optimal cutting trajectory, and predicting the results, a discrete grid circuit model of the conductive medium is proposed. This circuit model is a grid with a sufficiently small step of elementary resistors, showing the distribution of currents and potential in a conducting medium. A mathematical model of a conducting medium is obtained in the form of algebraic equations system for the voltages at grid nodes, currents anddoi:10.1088/1742-6596/1109/1/012012 fatcat:r5k76km2qjchriih5yzck46wmq