• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

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

Original Article

Capacitance of Two Overlapping Conducting Spheres


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.



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