Analytical solution for capacitance calculation of a curved patch capacitor that conforms to the curvature of a homogeneous cylindrical dielectric rod | Zendy

Tianming Chen | Zendy; John R. Bowler | Zendy; Nicola Bowler | Zendy

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Analytical solution for capacitance calculation of a curved patch capacitor that conforms to the curvature of a homogeneous cylindrical dielectric rod

Author(s) -

Tianming Chen,

John R. Bowler,

Nicola Bowler

Publication year - 2014

Publication title -

applied physics letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.182

H-Index - 442

eISSN - 1077-3118

pISSN - 0003-6951

DOI - 10.1063/1.4862434

Subject(s) - capacitance , capacitor , capacitance probe , dielectric , curvature , materials science , cylinder , permittivity , electrode , differential capacitance , cross section (physics) , optoelectronics , physics , electrical engineering , voltage , geometry , mathematics , engineering , quantum mechanics

This Letter presents an analytical expression for the capacitance of a curved patch capacitor whose electrodes conform to the curvature of a long, homogeneous, cylindrical dielectric rod. The capacitor is composed of two infinitely long curved electrodes, symmetrically placed about a diameter of the cylinder cross-section. The resulting capacitance per unit length depends on both the dielectric properties of the material under test and the capacitor configuration. A practical capacitance measurement is also presented, with appropriately guarded finite electrodes. Very good agreement between measured and theoretically predicted capacitances were observed, to within 2.4 percent. The analytical result presented in this Letter can be applied for extremely rapid evaluation of rod permittivity from measured capacitance.

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