Synthetic asymptote formula for surface-printed resistor

To date, the design of surface-printed resistors has utilised the time-consuming moment method. The synthetic asymptote technique usually generates simple design formulae, and this technique has been extended and applied to the design of surface-printed resistors. It is found that the derived resistance is immune to change even at high frequencies. In addition, it is found that the novel formula for resistance complies with the Pythagorean nature of trigonometry, which forms a simple basis for synthesis and analysis. In comparison with the moment method solution, it is found that the resistance formula has an error of about 3% for all practical slab dimensions. The synthetic asymptote developed allows designers to rapidly determine the resistance.