Theoretical and Experimental Analysis of Energy in Charging a Capacitor by Step-Wise Potential
Open Access
- 1 January 2020
- journal article
- research article
- Published by Scientific Research Publishing, Inc. in Journal of Applied Mathematics and Physics
- Vol. 08 (01), 38-52
- https://doi.org/10.4236/jamp.2020.81004
Abstract
In this paper, charging capacitor in RC circuit, to a final voltage, via arbitrary number of steps, is investigated and analyzed both theoretically and experimentally. The obtained results show that the stored energy in the capacitor is constant independent of N, but the dissipated energy in the resistor and the consumed energy by the power supply decreases as number of steps N increases (adiabatic charging). The limit when the step number goes to infinity is examined and our result shows that the dissipated energy vanishes theoretically. This limit is carried out experimentally by using a ramp potential.Keywords
This publication has 19 references indexed in Scilit:
- Ultra-low-energy computing paradigm using giant spin Hall devicesJournal of Physics D: Applied Physics, 2014
- Considering fluctuation energy as a measure of gyrokinetic turbulenceNew Journal of Physics, 2012
- Fundamental limits of energy dissipation in charge-based computingApplied Physics Letters, 2010
- INFLATING HOT JUPITERS WITH OHMIC DISSIPATIONThe Astrophysical Journal Letters, 2010
- Electrostatic energy, potential energy, and energy dissipation for a width-variable capacitor system during adiabatic chargingJournal of Applied Physics, 2007
- Low energy dissipation electric circuit for energy harvestingSmart Materials and Structures, 2006
- Two theorems on dissipative energy losses in capacitor systemsPhysics Education, 2005
- Energy consideration in the two-capacitor problemEuropean Journal of Physics, 2000
- Optimization of energy storage density in ceramic capacitorsJournal of Physics D: Applied Physics, 1996
- Capacitors and energy lossesPhysics Education, 1988