The many capacitance terms of two parallel discs in free space

Minteer, Timothy M.

doi:10.1088/0143-0807/35/3/035022

Cited by 13 publications

(9 citation statements)

References 16 publications

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“…where K is the dielectric constant; C, the capacitance of the dielectric material; A, the area of the plates; d, the distance between the plates; and ε o , the permittivity of vacuum [16].…”

Section: Electrical Analysismentioning

confidence: 99%

On the Mechanical and Dielectric Properties of Biocomposites Containing Strontium Titanate Particles

Declet-Vega¹,

Sepulveda-Ramos²,

MarceloSuárez³

2018

Ferroelectrics and Their Applications

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In recent years, scientists advanced the study of bio-ferroelectric composites to develop new environmentally friendly and inexpensive electronic elements such as capacitors, actuators, and transistors. Accordingly, the present research relates to composites made of chitosan-cellulose polymeric matrix and strontium titanate (STO) nanoparticles. The variables considered include different percentages of cellulose (15 and 25 v%) and strontium titanate nanoparticles (10 and 20 wt%). The electrical characterization of the composites included measuring their dielectric constant, current density, and conductivity. The results suggest that the addition of STO nanoparticles raised the dielectric constant while lowering the current density and the conductivity of the nanocomposites. Moreover, although the cellulose addition increased the current density and the conductivity of the composites, it lowered their dielectric constant. Also, the resulting biocomposite capacitors could withstand up to 60 V without any detectable dielectric breakdown. The other two properties measured were the ultimate tensile strength (UTS) and the degradation temperature (Tdeg). Higher percentages of cellulose decreased the UTS and the Tdeg of the chitosan-cellulose composites while the addition of cellulose slightly raised these properties of the composites made of chitosan-cellulose and STO nanoparticles. The results proved that these types of biocomposites are apt as capacitors with adequate strength to withstand aggressive environments. This work was fully conducted in the facilities of the Nanotechnology Center hosted by the University of Puerto Rico -Mayagüez,

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Section: Electrical Analysismentioning

confidence: 99%

On the Mechanical and Dielectric Properties of Biocomposites Containing Strontium Titanate Particles

Declet-Vega¹,

Sepulveda-Ramos²,

MarceloSuárez³

2018

Ferroelectrics and Their Applications

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“…The electrostatic potential energy U e of the two disc system may be calculated by integration of all differential charge pair combinations [42,43]:…”

Section: Example Of Two Discs In Free Space Separated By a Distance Dmentioning

confidence: 99%

“…where σ is the surface charge density of the disc surface S. For large separation distance d compared to a, the electrostatic potential energy of the two disc system is the sum of the two self electrostatic potential energies of each individual disc [44,43]:…”

Section: Example Of Two Discs In Free Space Separated By a Distance Dmentioning

confidence: 99%

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A boson interaction model for electrostatic stresses

Minteer¹

2014

IEEE Trans. Dielect. Electr. Insul.

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Maxwell's stress equation for electrostatics identifies a tensile stress in the direction of the electric field and a pressure normal to this direction. For an isolated, spherically symmetric static charge distribution, Maxwell's stress equation may be recast to eliminate the stress normal to the electric field and establish a stress only aligned with the electric field. The remaining stress is identified as an external omnidirectional Poincaré stress, inwardly directed towards the charge distribution. The Poincaré stress is modeled as a mean valued, continual exchange of bosons between the charge distribution and the distant matter of the universe. For two separated, spherically symmetric static charge distributions, Maxwell's stress equation may be recast to develop a line stress that only exists on the straight path between the two charge distributions. The line stress is identified as a Coulomb stress modeled as a mean valued, continual exchange of photons back and forth between two like-charge distributions.

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“…For that application, besides the capacitance due to the coupling between the nanoparticles and the backplane, two more capacitances named the self-capacitance of the nanoparticles itself and the capacitance between two adjacent nanoparticles are also illustrated. Actually, the self-capacitance of an isolated conductor has been illustrated in various physical research studies [15][16][17][18][19]. In these papers, the self-capacitances of one disk in vacuum, two widely separated spheres, and conductors of various shapes are analysed and calculated with respect to infinity.…”

Section: Introductionmentioning

confidence: 99%

Capacitive power transfer through virtual self‐capacitance route

Gao

Zhou

et al. 2018

IET Power Electronics

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This study presents the modelling, analysis, and experimental results of a novel capacitive power transfer (CPT) structure with a single coupling capacitor. It is noticed that each charged object has a nature property called self-capacitance, which is a kind of capacitance with respect to infinity. Taking advantage of this property, the conventional CPT structure can be simplified. Instead of using two capacitors to form the closed coupling loop, one of them is replaced by two metallic blocks with relatively big self-capacitances. Even though there is no physical coupling between the two blocks, they can be considered as virtually connected through their self-capacitances to infinity, which forms the return route for the proposed CPT structure. To achieve precise analysis, the detailed circuit model is established with the consideration of self-capacitances for both the blocks and coupling plates. Moreover, the results of the applications with attached blocks replaced by robust reference grounds (RRG) are also analysed in order to extend the proposed structure to more scenarios. System performances with and without RRG are compared. Experiments with different capacitor plate sizes at various transfer distances are also conducted. Both the theoretical analysis and experimental results indicate the effectiveness of the proposed structure.

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The many capacitance terms of two parallel discs in free space

Cited by 13 publications

References 16 publications

On the Mechanical and Dielectric Properties of Biocomposites Containing Strontium Titanate Particles

On the Mechanical and Dielectric Properties of Biocomposites Containing Strontium Titanate Particles

A boson interaction model for electrostatic stresses

Capacitive power transfer through virtual self‐capacitance route

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