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Field analysis of a circular thin-film/foil resistor

Feldanalyse eines kreisförmigen dünnen Filmbzw. Folienwiderstandes

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The potential, current flux and dissipation density distributions in a circular thin film/foil resistor are calculated based on a conformal mapping. The results indicate that the dissipation density at the corner of the contact between the lead and the resistor film/foil reaches infinity. This results in burning down or melting that part of the resistor. Finally, a reasonable contact shape between the lead and the resistor is suggested.

Übersicht

Die Verteilungen von Potential, Stromdichte und Verlustleistungsdichte in einem kreisförmigen, dünnen Film- bzw. Folienwiderstand werden mittels einer konformen Abbildung berechnet. Das Ergebnis zeigt, daß die Verlustleistungsdichte in der Ecke des Kontakts zwischen der Zuleitung und dem Film (der Folien) des Widerstandes gegen unendlich strebt. Dadurch kann dieser Teil des Widerstandes abbrennen oder schmelzen. Abschließend wird eine geeignete Kontaktform zwischen der Zuleitung und dem Widerstand vorgeschlagen.

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References

  1. Binns, K. J.; Lawrenson, P. J.: Analysis and computation of electric and magnetic field problems. 2nd. ed. Pergamon Press, 1973

  2. Abramowitz, M.; Stegun, I. A.: Handbook of mathematical functions. Dover Publications Inc., 1965

  3. Spanier, J.; Oldham, K. B.: An atlas of functions Springer-Verlag, 1967

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Zhang, K., Gong, L. & Unbehauen, R. Field analysis of a circular thin-film/foil resistor. Archiv f. Elektrotechnik 76, 423–426 (1993). https://doi.org/10.1007/BF01576021

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  • DOI: https://doi.org/10.1007/BF01576021

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