Rotating elliptical parallel-plate capacitor and a transient electric circuit

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We consider a pair of identical elliptical plates and orient them at an arbitrary angle about their common axis through the centers, and perpendicular to the plates. In terms of the dimensions of the ellipse and their angular orientation we derive an analytic expression for the overlapping area. We then express the orientation angle as a function of time. For at least two mechanical rotational modes, either a rotation with a constant pace or a rotation with a uniform angular acceleration we express the overlapping area as a continuous function of time. We then assume the elliptical plates are made of metals and that the overlaid plates are separated by a gap; the assembly becomes a parallel-plate capacitor. We adjust the separation gap between the plates so that the fringe effects are ignored. We insert our designed time-dependent capacitor in series with an ohmic resistor and analyze the charging and discharging DC driven electrical characteristic signals of the resulting RC (t) circuit.

Original languageEnglish (US)
Title of host publicationProceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008
Pages291-296
Number of pages6
DOIs
StatePublished - Sep 26 2008
EventInternational Conference on Computational Sciences and its Applications, ICCSA 2008 - Perugia, Italy
Duration: Jun 30 2008Jul 3 2008

Publication series

NameProceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008

Other

OtherInternational Conference on Computational Sciences and its Applications, ICCSA 2008
CountryItaly
CityPerugia
Period6/30/087/3/08

Fingerprint

Capacitors
Networks (circuits)
Resistors
Metals

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Computer Science Applications

Cite this

Sarafian, H. (2008). Rotating elliptical parallel-plate capacitor and a transient electric circuit. In Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008 (pp. 291-296). [4561233] (Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008). https://doi.org/10.1109/ICCSA.2008.17
Sarafian, Haiduke. / Rotating elliptical parallel-plate capacitor and a transient electric circuit. Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008. 2008. pp. 291-296 (Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008).
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abstract = "We consider a pair of identical elliptical plates and orient them at an arbitrary angle about their common axis through the centers, and perpendicular to the plates. In terms of the dimensions of the ellipse and their angular orientation we derive an analytic expression for the overlapping area. We then express the orientation angle as a function of time. For at least two mechanical rotational modes, either a rotation with a constant pace or a rotation with a uniform angular acceleration we express the overlapping area as a continuous function of time. We then assume the elliptical plates are made of metals and that the overlaid plates are separated by a gap; the assembly becomes a parallel-plate capacitor. We adjust the separation gap between the plates so that the fringe effects are ignored. We insert our designed time-dependent capacitor in series with an ohmic resistor and analyze the charging and discharging DC driven electrical characteristic signals of the resulting RC (t) circuit.",
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Sarafian, H 2008, Rotating elliptical parallel-plate capacitor and a transient electric circuit. in Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008., 4561233, Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008, pp. 291-296, International Conference on Computational Sciences and its Applications, ICCSA 2008, Perugia, Italy, 6/30/08. https://doi.org/10.1109/ICCSA.2008.17

Rotating elliptical parallel-plate capacitor and a transient electric circuit. / Sarafian, Haiduke.

Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008. 2008. p. 291-296 4561233 (Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - We consider a pair of identical elliptical plates and orient them at an arbitrary angle about their common axis through the centers, and perpendicular to the plates. In terms of the dimensions of the ellipse and their angular orientation we derive an analytic expression for the overlapping area. We then express the orientation angle as a function of time. For at least two mechanical rotational modes, either a rotation with a constant pace or a rotation with a uniform angular acceleration we express the overlapping area as a continuous function of time. We then assume the elliptical plates are made of metals and that the overlaid plates are separated by a gap; the assembly becomes a parallel-plate capacitor. We adjust the separation gap between the plates so that the fringe effects are ignored. We insert our designed time-dependent capacitor in series with an ohmic resistor and analyze the charging and discharging DC driven electrical characteristic signals of the resulting RC (t) circuit.

AB - We consider a pair of identical elliptical plates and orient them at an arbitrary angle about their common axis through the centers, and perpendicular to the plates. In terms of the dimensions of the ellipse and their angular orientation we derive an analytic expression for the overlapping area. We then express the orientation angle as a function of time. For at least two mechanical rotational modes, either a rotation with a constant pace or a rotation with a uniform angular acceleration we express the overlapping area as a continuous function of time. We then assume the elliptical plates are made of metals and that the overlaid plates are separated by a gap; the assembly becomes a parallel-plate capacitor. We adjust the separation gap between the plates so that the fringe effects are ignored. We insert our designed time-dependent capacitor in series with an ohmic resistor and analyze the charging and discharging DC driven electrical characteristic signals of the resulting RC (t) circuit.

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Sarafian H. Rotating elliptical parallel-plate capacitor and a transient electric circuit. In Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008. 2008. p. 291-296. 4561233. (Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008). https://doi.org/10.1109/ICCSA.2008.17