Capacitance of Two Overlapping Conducting Spheres

Je Young Choi  nbsp

doi:10.17485/ijst/2020/v13i02/149355

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Capacitance of Two Overlapping Conducting Spheres

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2020/v13i02/149355

Year: 2020, Volume: 13, Issue: 2, Pages: 193 – 199

Original Article

Capacitance of Two Overlapping Conducting Spheres

Je-Young Choi^*

Department of Smart IT, U1 University, Asan 31415, Korea

^*Author for correspondence:
Je-Young Choi
Department of Smart IT, U1 University, Asan 31415, Korea
E-mail ID: jychoi@u1.ac.kr

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: We calculate the capacitance of two conducting spheres, which are partially overlapping.

Methods: Two sequences of image charges are needed to make the surfaces of the conductors equipotential by the method of images. For some special contact angles, the number of image charges is finite and they are located inside the unphysical region (that is, the conducting spheres).

Findings: We obtain the closed-form expressions for the charges and positions of the image charges for some special contact angles from which any physical quantities including the capacitance are calculated.

Application: The result can be applicable to estimating the capacitances of some biological cells and nanoparticles.

Keywords: Capacitance, Conducting Sphere, Method of Images, Surface Charge Density.