Electrostatic Energy, Potential Energy and Energy Dissipation for a Width-Variable Capacitor Coupled with Mechatronical Potential Energy during Adiabatic Charging

Shunji NAKATA  Yoshitada KATAGIRI  

IEICE TRANSACTIONS on Electronics   Vol.E90-C   No.1   pp.139-144
Publication Date: 2007/01/01
Online ISSN: 1745-1353
DOI: 10.1093/ietele/e90-c.1.139
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Section on Microoptomechatronics)
Category: Advanced Nano Technologies
adiabatic charging,  width-variable capacitor,  mechatronical potential energy,  

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This paper considers a more generalized capacitor that can decrease its width using its own electrical force. We consider a model in which the capacitor with plate distance d is coupled with repulsive mechatronical potential energy, which is proportional to 1/dn. In the conventional case, n is considered to be approximately very large. In our capacitor model, there is a stable point between attractive electrical force and repulsive mechatronical force. In this system, electrostatic energy is equal to the sum of mechatronical potential energy and energy dissipation. Moreover, the mechatronical potential energy is 1/n times smaller than the electrostatic energy. All energies, including the electrostatic energy, potential energy, and energy dissipation, are proportional not to ordinary value V2, but to V2/(n-1)+2, where V is the power supply voltage. This means the voltage dependence of energy is unusual. It is strongly dependent on the capacitor matter, i.e., on the characteristics of the mechatronical system. In addition, the energy dissipation of the system can be reduced to zero using the adiabatic charging process.