• DocumentCode
    2529673
  • Title

    A Morphing Capacitor and an RC Transient Electric Circuit

  • Author

    Sarafian, Haiduke

  • Author_Institution
    Univ. Coll., Pennsylvania State Univ., York, PA, USA
  • fYear
    2010
  • fDate
    23-26 March 2010
  • Firstpage
    3
  • Lastpage
    9
  • Abstract
    We consider an RC-series DC driven electric network. We envision the capacitor C is a parallel-plate capacitor with a pair of elliptical plates. We apply a set of transformations mapping the ellipses gradually and continually into their corresponding rectangles; this makes the capacitor time-dependent, C(t). We analyze the impact of the shape-shifting capacitor on the corresponding RC(t) transient circuit. Applying Mathematica [1] animation we display the morphing capacitor adjacent to its corresponding characteristic signals. Utilizing the embedded Mathematica code also we display the transient electric signals of a morphing capacitor while it is being mutated from a circular disk into a set of exotic configurations.
  • Keywords
    RC circuits; capacitors; electronic engineering computing; mathematics computing; Mathematica; RC transient electric circuit; RC-series DC driven electric network; elliptical plates; morphing capacitor; parallel-plate capacitor; shape-shifting capacitor; Capacitance; Capacitors; Circuits; Computer networks; Differential equations; Displays; Nonlinear distortion; Nonlinear equations; Shape; Silicon compounds;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Science and Its Applications (ICCSA), 2010 International Conference on
  • Conference_Location
    Fukuoka
  • Print_ISBN
    978-0-7695-3999-7
  • Electronic_ISBN
    978-1-4244-6462-3
  • Type

    conf

  • DOI
    10.1109/ICCSA.2010.28
  • Filename
    5476603