The equivalent resistance of any series-parallel circuit can be ex- pressed and calculated as a continued fraction obtained dividing two determinants of a tridiagonal square matrix, called continuants. The author illustrates that the calculation of the voltages or currents using the divider formulas can also be developed as fractions of continuants. Furthermore a Matlab code which calculate continuants and continued fractions is listed.
Further applications of continued fractions to series-parallel circuits / Perano, Enrico Fausto. - In: APPLIED MATHEMATICAL SCIENCES. - ISSN 1314-7552. - ELETTRONICO. - 14:15(2020), pp. 717-724. [10.12988/ams.2020.914262]
|Titolo:||Further applications of continued fractions to series-parallel circuits|
|Data di pubblicazione:||2020|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.12988/ams.2020.914262|
|Appare nelle tipologie:||1.1 Articolo in rivista|