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 near-contact zone between electrodes.
- Received October 22, 2016.
- Accepted December 20, 2016.
- © 2017 The Author(s)
Published by the Royal Society. All rights reserved.