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Resistance of a film resistor with a slit of finite width

V. D. Sadkov, D. E. Orlov

Abstract


Film resistors with an infinitesimally thin correcting slit were calculated in [1, 2]. We will take into account the finite width of a slit (Fig. 1) by the method of conformal mapping [3]. It is more convenient to solve the problem with inversion of the boundary conditions - transfer of contacts from sections M1N1 and M6N5 of the film to sections M1M2M3-M4M5M6 and N1N5 (the resistance of the investigated Rinvs and inverted Rinvr resistors are associated by the relation: sqrt(RinvsRinvr) = [rho], where [rho] is the resistivity of the resistive film…

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References


Martyushkov, K. I.; Zaitsev, Yu. V.; Tikhonov, A. I. Methods of Calculating Resistors [in Russian]. Moscow: Energiya, 1971.

Sadkov, V. D. "Calculation of a rectangular resistor with a slit," Radioelectron. Commun. Syst., Vol. 20, No. 8, P. 123-125, 1977.

Lavrent’ev, M. A.; Shabat, B. V. Methods of the Theory of Functions of Complex Variables [in Russian]. Moscow: Nauka, 1973.

Gradshtein, I. S.; Ryzhik, M. M. Tables of Integrals, Sums, Series, and Products [in Russian]. Moscow: Nauka, 1971.

Sadkov, V. D.; Morugin, S. L. "Attenuator plates with increased values of the ratio of transformation," Radioelectron. Commun. Syst., Vol. 31, No. 5, P. 61-63, 1988.




DOI: https://doi.org/10.3103/S073527271992110177

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