In this paper, we study the two discs capacitor, for equal and different radii. The new results obtained allow a complete characterization of capacity coefficients and forces at short distances. An extensive numerical calculation confirms the theoretical results. The study shows the existence of a hierarchy in the divergent behaviour of the capacitance coefficients and this implies some unusual behaviour of the forces, strictly related to the dimensionality of the nearcontact zone between electrodes.

Numerical and analytical results for the two discs capacitor problem

PAFFUTI, GIAMPIERO
2017-01-01

Abstract

In this paper, we study the two discs capacitor, for equal and different radii. The new results obtained allow a complete characterization of capacity coefficients and forces at short distances. An extensive numerical calculation confirms the theoretical results. The study shows the existence of a hierarchy in the divergent behaviour of the capacitance coefficients and this implies some unusual behaviour of the forces, strictly related to the dimensionality of the nearcontact zone between electrodes.
2017
Paffuti, Giampiero
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/876143
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