Polarization in electrostatics and circuits: Computing and visualizing surface charge distributions

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Article describing an algorithm or computing the detailed surface charge distributions in equilibrium electrostatic situations and in steady-state DC circuits, and discuss the results of the computations of surface charge distributions for several systems.

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9 p.

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Chabay, Ruth & Sherwood, Bruce April 19, 2019.

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Description

Article describing an algorithm or computing the detailed surface charge distributions in equilibrium electrostatic situations and in steady-state DC circuits, and discuss the results of the computations of surface charge distributions for several systems.

Physical Description

9 p.

Notes

Abstract: In electrostatic situations and in steady-state circuits, charges on the surface of a conductor contribute significantly to the net electric field inside the conductor. These charges build up quickly due to transient currents that are initiated by the presence of external charged objects or objects such as batteries that maintain a charge separation. We describe an algorithm for computing the detailed surface charge distributions in equilibrium electrostatic situations and in steady-state DC circuits, and discuss the results of our computations of surface charge distributions for several systems. The results show that in simple DC circuit geometries a roughly constant gradient of surface charge plays a dominant role in establishing the net field inside circuit elements. Three-dimensional visualization contributes to new insights into surface charge distributions on circuit elements.

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  • American Journal of Physics, 87(5), American Institute of Physics, May 1, 2019, pp. 1-9

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Publication Information

  • Publication Title: American Journal of Physics
  • Volume: 87
  • Issue: 5
  • Article Identifier: 341 (2019)
  • Page Start: 341
  • Page End: 349
  • Peer Reviewed: Yes

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UNT Scholarly Works

Materials from the UNT community's research, creative, and scholarly activities and UNT's Open Access Repository. Access to some items in this collection may be restricted.

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Submitted Date

  • December 14, 2018

Accepted Date

  • March 7, 2019

Creation Date

  • April 19, 2019

Added to The UNT Digital Library

  • June 15, 2022, 3:15 p.m.

Description Last Updated

  • Nov. 16, 2023, 11:13 a.m.

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Chabay, Ruth & Sherwood, Bruce. Polarization in electrostatics and circuits: Computing and visualizing surface charge distributions, article, April 19, 2019; (https://digital.library.unt.edu/ark:/67531/metadc1944117/: accessed May 28, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT College of Science.

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