Circular plate capacitor with different discs
Giampiero Paffuti, Enrico Cataldo, Alberto Di Lieto, Francesco Maccarrone · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2016
In this paper, we write a system of integral equations for a capacitor composed of two discs of different radii, generalizing Love’s equation for equal discs. We compute the complete asymptotic form of the capacitance matrix for both large and small distances obtaining a generalization of Kirchhoff’s formula for the latter case.