Abstract

The capacitance of two parallel disks of finite unequal size is calculated by a variational procedure based on the electrostatic energy. It is found that effects due to the edges and the asymmetry can be substantial unless the radii of the disks are very much greater than the thickness of the dielectric interlayer. The trends predicted by the calculations are confirmed by measurements of the capacitance of electrodes deposited on polymer films and of water droplets. The implications for the electrical measurement of the contact angle or contact area of a droplet, and for the dependence of the contact angle on the applied potential in electrowetting, are discussed.

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