The problem of the electrical discharge in an internally wired capacitor
The present work investigates the dynamics of electrical discharges in a capacitor where both plates are internally connected by a conducting wire. A simplifying assumption used to solve the problem is to consider a uniform distribution of the surface charges on the plates. This implies uniform elec...
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| Format: | Article |
| Language: | Portuguese |
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Sociedade Brasileira de Física
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| Series: | Revista Brasileira de Ensino de Física |
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| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172016000300415&lng=en&tlng=en |
| _version_ | 1818444535393419264 |
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| author | F. B. Rizzato |
| author_facet | F. B. Rizzato |
| author_sort | F. B. Rizzato |
| collection | DOAJ |
| description | The present work investigates the dynamics of electrical discharges in a capacitor where both plates are internally connected by a conducting wire. A simplifying assumption used to solve the problem is to consider a uniform distribution of the surface charges on the plates. This implies uniform electric fields as well, and allows to calculate the current in the wire as if it were flowing along a simple RC circuit. We show that although the assumption is good if the conductivity of the wire is small, it fails if the conductivity becomes larger than a critical value. The device's behavior beyond this critical value is then analyzed and discussed. The relevance of the problem is discussed in connection to solid-state devices, as well as in problem solving contexts. |
| first_indexed | 2024-12-14T19:17:29Z |
| format | Article |
| id | doaj.art-5810f0f7239042d6ae8b2fce094c9b9f |
| institution | Directory Open Access Journal |
| issn | 1806-9126 |
| language | Portuguese |
| last_indexed | 2024-12-14T19:17:29Z |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj.art-5810f0f7239042d6ae8b2fce094c9b9f2022-12-21T22:50:32ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-912638310.1590/1806-9126-RBEF-2016-0065S1806-11172016000300415The problem of the electrical discharge in an internally wired capacitorF. B. RizzatoThe present work investigates the dynamics of electrical discharges in a capacitor where both plates are internally connected by a conducting wire. A simplifying assumption used to solve the problem is to consider a uniform distribution of the surface charges on the plates. This implies uniform electric fields as well, and allows to calculate the current in the wire as if it were flowing along a simple RC circuit. We show that although the assumption is good if the conductivity of the wire is small, it fails if the conductivity becomes larger than a critical value. The device's behavior beyond this critical value is then analyzed and discussed. The relevance of the problem is discussed in connection to solid-state devices, as well as in problem solving contexts.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172016000300415&lng=en&tlng=enElectrical dischargesVacuum and solid-state electronicsElectromagnetic waves |
| spellingShingle | F. B. Rizzato The problem of the electrical discharge in an internally wired capacitor Revista Brasileira de Ensino de Física Electrical discharges Vacuum and solid-state electronics Electromagnetic waves |
| title | The problem of the electrical discharge in an internally wired capacitor |
| title_full | The problem of the electrical discharge in an internally wired capacitor |
| title_fullStr | The problem of the electrical discharge in an internally wired capacitor |
| title_full_unstemmed | The problem of the electrical discharge in an internally wired capacitor |
| title_short | The problem of the electrical discharge in an internally wired capacitor |
| title_sort | problem of the electrical discharge in an internally wired capacitor |
| topic | Electrical discharges Vacuum and solid-state electronics Electromagnetic waves |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172016000300415&lng=en&tlng=en |
| work_keys_str_mv | AT fbrizzato theproblemoftheelectricaldischargeinaninternallywiredcapacitor AT fbrizzato problemoftheelectricaldischargeinaninternallywiredcapacitor |