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A generalization of the Shell Theorem.
Electric potential of charged spheres and charged vesicles surrounded by electrolyte

  • Received: 31 January 2020 Accepted: 10 April 2020 Published: 15 April 2020
  • By using the screened Coulomb potential a generalized version of Newton's Shell Theorem is developed and analytical equations are derived to calculate i) the potential of a charged sphere surrounded by electrolyte, ii) the potential of two concentric charged spheres surrounded by electrolyte, and iii) the potential inside the membrane of a charged lipid vesicle surrounded by electrolyte with high ion concentration. By numerical integration the potential of a lipid vesicle is calculated at any electrolyte concentration.

    Citation: István P. Sugár. A generalization of the Shell Theorem.Electric potential of charged spheres and charged vesicles surrounded by electrolyte[J]. AIMS Biophysics, 2020, 7(2): 76-89. doi: 10.3934/biophy.2020007

    Related Papers:

  • By using the screened Coulomb potential a generalized version of Newton's Shell Theorem is developed and analytical equations are derived to calculate i) the potential of a charged sphere surrounded by electrolyte, ii) the potential of two concentric charged spheres surrounded by electrolyte, and iii) the potential inside the membrane of a charged lipid vesicle surrounded by electrolyte with high ion concentration. By numerical integration the potential of a lipid vesicle is calculated at any electrolyte concentration.



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    Acknowledgments



    The author is very thankful for Chinmoy Kumar Ghose.

    Conflict of interest



    The author declare no conflict of interest.

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