Open AccessAnalytical model of electrostatic force generated by edge effect of a Kelvin capacitor based on conformal transformation
Author(s) -
Shisong Li,
Zhonghua Zhang,
Zhao Wei,
Huang Song-Ling,
Zhuang Fu
Publication year - 2015
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.64.060601
Subject(s) - conformal map , kelvin probe force microscope , capacitor , realization (probability) , enhanced data rates for gsm evolution , physics , transformation (genetics) , electric potential energy , electrostatic force microscope , electrostatics , energy (signal processing) , voltage , computer science , atomic force microscopy , materials science , mathematical analysis , quantum mechanics , optics , nanotechnology , mathematics , microscopy , telecommunications , biochemistry , chemistry , gene , statistics
We present a new realization of weak electrostatic force based on Kelvin capacitor, which, compared with the conventional realization, simplifies the mechanical design without synchronously moving the central and guard-ring electrodes. However, a residual force due to the edge effect of the capacitor should be accurately known. In this paper, an analytic model of the electrostatic force generated from the edge effect is presented based on conformal transformations. The accuracy of the model is verified by the finite element calculation based on a micro-Newton weak force generation.