Archivio Istituzionale della RicercaThe 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]
Further applications of continued fractions to series-parallel circuits
Enrico Perano
2020
Abstract
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
peranoAMS13-16-2020 (3).pdf
accesso aperto
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Creative commons
Dimensione
188.85 kB
Formato
Adobe PDF
|
188.85 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2849227