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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Online-Zugang: | https://arxiv.org/abs/2309.01701 |
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| _version_ | 1866910581087272960 |
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| author | Marthins, Eirik Brenner Holm, Sverre |
| author_facet | Marthins, Eirik Brenner Holm, Sverre |
| contents | In an ordinary time-varying capacitor, there is debate whether a time-domain multiplication or a time-domain convolution of capacitance and voltage determines charge. A time-varying capacitor in parallel with a resistor was implemented by a motor-driven potentiometer and op-amps. The response matched a power-law function over about two decades of time, and not an exponential, for several sets of parameters. This confirms the time-domain multiplication model. This result is the opposite of that obtained for a Constant Phase Element (CPE) in its common time- and frequency-varying capacitor interpretation. This demonstrates that a CPE is fundamentally different from an ordinary time- and frequency-varying capacitor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01701 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Difference between charge-voltage relations of ordinary and fractional capacitors Marthins, Eirik Brenner Holm, Sverre Classical Physics In an ordinary time-varying capacitor, there is debate whether a time-domain multiplication or a time-domain convolution of capacitance and voltage determines charge. A time-varying capacitor in parallel with a resistor was implemented by a motor-driven potentiometer and op-amps. The response matched a power-law function over about two decades of time, and not an exponential, for several sets of parameters. This confirms the time-domain multiplication model. This result is the opposite of that obtained for a Constant Phase Element (CPE) in its common time- and frequency-varying capacitor interpretation. This demonstrates that a CPE is fundamentally different from an ordinary time- and frequency-varying capacitor. |
| title | Difference between charge-voltage relations of ordinary and fractional capacitors |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2309.01701 |