The capacitance of a contact. Electrostatic attraction in a contact

Abstract

The capacitance, C, between two essentially parallel equipotential surfaces both with the area A m² and distant from each other by s m, which may vary from point to point, is, with the relative dielectric permittivity = 1,

EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4qaiabg2 % da9iabew7aLnaaBaaaleaacaaIWaaabeaakmaapeaabaWaaSaaaeaa % caWGKbGaamyqaaqaaiaadohaaaaaleqabeqdcqGHRiI8aOGaamOraa % aa!3FE0!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$C = {\varepsilon _0}\int {\frac{{dA}}{s}} F$$

(12.01)

where

EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqyTdu2aaS % baaSqaaiaaicdaaeqaaOGaeyypa0JaaGioaiaac6cacaaI4aGaaGyn % aiabgwSixlaaigdacaaIWaWaaWbaaSqabeaacqGHsislcaaIXaGaaG % OmaaaakiaadAeacaGGVaGaamyBaaaa!4550!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$${\varepsilon _0} = 8.85 \cdot {10^{ - 12}}F/m$$

The erratum of this chapter is available at http://dx.doi.org/10.1007/978-3-662-06688-1_71