Coulomb potential and energy of a uniformly charged cylindrical shell

Abstract Knowledge of electrical potential and energy is important to systems where electrostatic forces play a role. We calculate exactly the electrostatic potential of a uniformly charged cylindrical shell at an arbitrary point in space as well as its electrical energy. The expressions derived are applicable to cylindrical models containing charged particles and certain biological systems with cylindrical symmetry. An explicit analytical formula is provided for the total energy in terms of a class of special functions known as generalized Hypergeometric functions. The expressions when written in one-dimensional integral form are very suitable for numerical calculations.

• Publication year

  2018

• Venue

  Journal of Electrostatics

• Publication date

  2018-12-01

• Fields of study

  Physics

• Identifiers
  DOI 10.1016/J.ELSTAT.2018.09.004
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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