Energy relaxation in a vacuum capacitor-resistor circuit: measurement of multiple decays with divergent time constants

The decay of the electrical energy in a resistor-vacuum capacitor circuit is shown to involve multiple relaxation processes, with dramatically different time constants. This is measured using a vacuum capacitor to eliminate the effect of a dielectric between the plates (polypropylene capacitors are...

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Main Author: Frank V. Kowalski
Format: Article
Language:English
Published: AIP Publishing LLC 2024-03-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0190681
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author Frank V. Kowalski
author_facet Frank V. Kowalski
author_sort Frank V. Kowalski
collection DOAJ
description The decay of the electrical energy in a resistor-vacuum capacitor circuit is shown to involve multiple relaxation processes, with dramatically different time constants. This is measured using a vacuum capacitor to eliminate the effect of a dielectric between the plates (polypropylene capacitors are shown to exhibit similar behavior). A simple phenomenological model accounts for this behavior in spite of the difficulty in applying Maxwell's equations to such a circuit. These results will lead to a revision of our understanding of the physics of circuits, having particular impact on applications that use capacitors as sensors in collecting precision data (such as found in quantum measurements and dielectric spectroscopy).
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spelling doaj.art-abc3752b21ec4dd09ab55a207a6530842024-04-02T20:29:18ZengAIP Publishing LLCAIP Advances2158-32262024-03-01143035154035154-710.1063/5.0190681Energy relaxation in a vacuum capacitor-resistor circuit: measurement of multiple decays with divergent time constantsFrank V. Kowalski0Physics Department, Colorado School of Mines, Golden, Colorado 80401, USAThe decay of the electrical energy in a resistor-vacuum capacitor circuit is shown to involve multiple relaxation processes, with dramatically different time constants. This is measured using a vacuum capacitor to eliminate the effect of a dielectric between the plates (polypropylene capacitors are shown to exhibit similar behavior). A simple phenomenological model accounts for this behavior in spite of the difficulty in applying Maxwell's equations to such a circuit. These results will lead to a revision of our understanding of the physics of circuits, having particular impact on applications that use capacitors as sensors in collecting precision data (such as found in quantum measurements and dielectric spectroscopy).http://dx.doi.org/10.1063/5.0190681
spellingShingle Frank V. Kowalski
Energy relaxation in a vacuum capacitor-resistor circuit: measurement of multiple decays with divergent time constants
AIP Advances
title Energy relaxation in a vacuum capacitor-resistor circuit: measurement of multiple decays with divergent time constants
title_full Energy relaxation in a vacuum capacitor-resistor circuit: measurement of multiple decays with divergent time constants
title_fullStr Energy relaxation in a vacuum capacitor-resistor circuit: measurement of multiple decays with divergent time constants
title_full_unstemmed Energy relaxation in a vacuum capacitor-resistor circuit: measurement of multiple decays with divergent time constants
title_short Energy relaxation in a vacuum capacitor-resistor circuit: measurement of multiple decays with divergent time constants
title_sort energy relaxation in a vacuum capacitor resistor circuit measurement of multiple decays with divergent time constants
url http://dx.doi.org/10.1063/5.0190681
work_keys_str_mv AT frankvkowalski energyrelaxationinavacuumcapacitorresistorcircuitmeasurementofmultipledecayswithdivergenttimeconstants