### Abstract

The authors designed a rotating parallel-plate capacitor; one of the plates is assumed to turn about the common vertical axis through the centers of the square plates. We insert this capacitor into a series with a resistor, forming a RC circuit. We analyze the characteristics of charging and discharging scenarios on two different parallel tracks. On the first track we drive the circuit with a DC power supply. On the second track, we drive the circuit with an AC source. The analyses of the circuits encounter non-linear differential equations. We format the underlying equations into their generic forms. We then apply Mathematica [1], NDSolve to solve them. This work is an example showing how with the help of Mathematica one is able to augment the scope of the traditional studies.

Original language | English (US) |
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Title of host publication | Computational Science - ICCS 2007 - 7th International Conference, Proceedings |

Pages | 203-210 |

Number of pages | 8 |

Volume | 4488 LNCS |

Edition | PART 2 |

State | Published - 2007 |

Event | 7th International Conference on Computational Science, ICCS 2007 - Beijing, China Duration: May 27 2007 → May 30 2007 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Number | PART 2 |

Volume | 4488 LNCS |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 7th International Conference on Computational Science, ICCS 2007 |
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Country | China |

City | Beijing |

Period | 5/27/07 → 5/30/07 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Biochemistry, Genetics and Molecular Biology(all)
- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Computational Science - ICCS 2007 - 7th International Conference, Proceedings*(PART 2 ed., Vol. 4488 LNCS, pp. 203-210). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4488 LNCS, No. PART 2).

}

*Computational Science - ICCS 2007 - 7th International Conference, Proceedings.*PART 2 edn, vol. 4488 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 2, vol. 4488 LNCS, pp. 203-210, 7th International Conference on Computational Science, ICCS 2007, Beijing, China, 5/27/07.

**Rotating capacitor and a transient electric network.** / Sarafian, Haiduke; Sarafian, Nenette.

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

TY - GEN

T1 - Rotating capacitor and a transient electric network

AU - Sarafian, Haiduke

AU - Sarafian, Nenette

PY - 2007

Y1 - 2007

N2 - The authors designed a rotating parallel-plate capacitor; one of the plates is assumed to turn about the common vertical axis through the centers of the square plates. We insert this capacitor into a series with a resistor, forming a RC circuit. We analyze the characteristics of charging and discharging scenarios on two different parallel tracks. On the first track we drive the circuit with a DC power supply. On the second track, we drive the circuit with an AC source. The analyses of the circuits encounter non-linear differential equations. We format the underlying equations into their generic forms. We then apply Mathematica [1], NDSolve to solve them. This work is an example showing how with the help of Mathematica one is able to augment the scope of the traditional studies.

AB - The authors designed a rotating parallel-plate capacitor; one of the plates is assumed to turn about the common vertical axis through the centers of the square plates. We insert this capacitor into a series with a resistor, forming a RC circuit. We analyze the characteristics of charging and discharging scenarios on two different parallel tracks. On the first track we drive the circuit with a DC power supply. On the second track, we drive the circuit with an AC source. The analyses of the circuits encounter non-linear differential equations. We format the underlying equations into their generic forms. We then apply Mathematica [1], NDSolve to solve them. This work is an example showing how with the help of Mathematica one is able to augment the scope of the traditional studies.

UR - http://www.scopus.com/inward/record.url?scp=38049172838&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38049172838&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:38049172838

SN - 9783540725855

VL - 4488 LNCS

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 203

EP - 210

BT - Computational Science - ICCS 2007 - 7th International Conference, Proceedings

ER -