• Corpus ID: 225565073

Charge-voltage relation for a fractional capacitor

  title={Charge-voltage relation for a fractional capacitor},
  author={Vikas Kumar Pandey},
  journal={arXiv: Applied Physics},
  • V. Pandey
  • Published 5 July 2020
  • Mathematics
  • arXiv: Applied Physics
Most capacitors of practical use deviate from the assumption of a constant capacitance. They exhibit memory and are often described by a time-varying capacitance. It is shown that a direct implementation of the classical relation, $Q\left(t\right)=CV\left(t\right)$, that relates the charge, $Q\left(t\right)$, with the constant capacitance, $C$, and the voltage, $V\left(t\right)$, is not applicable when the capacitance is time-varying. The resulting equivalent circuit that emerges from the… 

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