### 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 language | English (US) |
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Title of host publication | Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008 |

Pages | 291-296 |

Number of pages | 6 |

DOIs | |

State | Published - Sep 26 2008 |

Event | International Conference on Computational Sciences and its Applications, ICCSA 2008 - Perugia, Italy Duration: Jun 30 2008 → Jul 3 2008 |

### Publication series

Name | Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008 |
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### Other

Other | International Conference on Computational Sciences and its Applications, ICCSA 2008 |
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Country | Italy |

City | Perugia |

Period | 6/30/08 → 7/3/08 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computational Theory and Mathematics
- Computer Science Applications

### Cite this

*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

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*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Rotating elliptical parallel-plate capacitor and a transient electric circuit

AU - Sarafian, Haiduke

PY - 2008/9/26

Y1 - 2008/9/26

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.

UR - http://www.scopus.com/inward/record.url?scp=52249102254&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52249102254&partnerID=8YFLogxK

U2 - 10.1109/ICCSA.2008.17

DO - 10.1109/ICCSA.2008.17

M3 - Conference contribution

AN - SCOPUS:52249102254

SN - 9780769532431

T3 - Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008

SP - 291

EP - 296

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

ER -