# Charge-voltage relation for a fractional capacitor

@article{Pandey2020ChargevoltageRF, title={Charge-voltage relation for a fractional capacitor}, author={Vikas Kumar Pandey}, journal={arXiv: Applied Physics}, year={2020} }

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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## References

SHOWING 1-10 OF 33 REFERENCES

### The Correct Equation for the Current Through Voltage-Dependent Capacitors

- PhysicsIEEE Access
- 2020

This paper uses the voltage-dependent parasitic capacitance of a commercial Schottky diode in reverse bias mode and performs a theoretical analysis, which shows that the differential capacitance in the correct current equation corresponds to the physical parameters of the diode capacitance.

### Origin of the Curie–von Schweidler law and the fractional capacitor from time-varying capacitance

- PhysicsJournal of Power Sources
- 2022

### Review of fractional-order electrical characterization of supercapacitors

- EngineeringJournal of Power Sources
- 2018

### Capacitive behavior and stored energy in supercapacitors at power line frequencies

- Engineering, Physics
- 2018

### Development of fractional order capacitors based on electrolyte processes

- Materials Science
- 2009

In recent years, significant research in the field of electrochemistry was developed. The performance of electrical devices, depending on the processes of the electrolytes, was described and the…

### Memory regeneration phenomenon in dielectrics: the fractional derivative approach

- Mathematics
- 2009

Classical theory predicts that a capacitor's charging current obeys the first-order differential equation and hence follows the exponential Debye law. However, there are many experimental results…

### Capacitor theory

- Physics
- 1994

A new linear capacitor model is proposed. It is based on Curie's empirical law of 1889 which states that the current through a capacitor is i(t)=U/sub 0//(h/sub 1/t/sup n/), where h/sub 1/ and n are…

### Time-Varying Reactive Elements for Extreme Accumulation of Electromagnetic Energy

- PhysicsPhysical Review Applied
- 2019

Accumulation of energy by reactive elements is limited by the amplitude of time-harmonic external sources. In the steady-state regime, all incident power is fully reflected back to the source, and…

### Time-varying resistors, capacitors, and inductors in nonlinear transient finite element models

- Engineering
- 1998

Finite element analysis of saturable lossy magnetic components is extended to include the effects of time-varying circuit elements. Resistors, capacitors and inductors are varied in time using…