• Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
• /
• v.28 no.11
• /
• pp.93-99
• /
• 2014

The method of moments is applied to numerically compute the electrostatic capacitance of a parallel-plate rectangular capacitor of finite area. Each plate is discretized into 900 patches per unit area to ensure a high accuracy of computation. To further enhance computational results, the impedance matrix elements are additionally evaluated in the case that the observation patch is located above or below the source patch in the vertical direction. To examine the fringing effect at the edges of the capacitor, the normalized capacitances are computed as a function of separation distance. After these results have been verified by Palmer's formula, this method is extended to the computation of capacitances between two different size plates.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
• /
• 2007.06a
• /
• pp.482-483
• /
• 2007

For measurement of dielectric constants, the commercial parallel plate electrodes system with guard-ring electrode have been widely used up to now. The capacitance derived from the parallel plate electrodes capacitor with guard-ring electrode is calculated by the equation of ($C={\epsilon}\;{\cdot}\;\frac{area\;of\;electrod}{distance\;between\;electrodes}$). Therefore, in parallel plate electrode capacitor, the diameter of the guarded electrode, the gap size between guarded electrode and guard ring, and distance between two active electrode should be measured precisely to calculate dielectric constants from the measured capacitance. Consequently their mechanical measurement uncertainties are directly contributed. Especially the air-gap between the electrodes and dielectric specimen at the system must be existed and the measurement error derived from the air-gap is impossible to evaluate as measurement uncertainties. In this study, we analyze the uncertainty of the commercial dielectric constant test cell using 3 kinds CRMs.

• Proceedings of the KIEE Conference
• /
• 2007.07a
• /
• pp.1287-1288
• /
• 2007

The cross capacitor electrode system applied Thompson-Lampard theorem for precise and accurate measurement of dielectric constants is studied in this study. The capacitance derived from cross capacitor is calculated by the equation of ($C=\frac{{\epsilon}ln2}{\pi}{\cdot}$ effectivelength of electrode) which is very different from the equation of capacitance derived from parallel plate capacitor. From above mentioned reason, the capacitance measurement uncertainty of cross capacitor can be reduced then that of the parallel plate capacitor. the measurement dielectric constant measured by cross capacitor electrode method is one order more accurate and precise than that of 3-electrode method.

• Journal of Science Education
• /
• v.46 no.2
• /
• pp.212-221
• /
• 2022

In this study, we propose an analytical model to elucidate the formation of electric fields between two parallel conducting plates. Using nine Gaussian surfaces, we investigated the charge redistributions and electric fields formed by parallel conducting plates when two charged plates get close together. The electric charges are redistributed via a new electrostatic equilibrium to create the electric field of each plates. As a result, the electric field start from + electrode plate to - electrode plate via inducing a new electrostatic equilibrium, implying that the application of Gaussian surfaces to only one of the electrodes of parallel-plate capacitors is deserved. The results will help undergraduate students understand the charge redistribution and the electric field formation in parallel-plate capacitors in a reasonable manner.

• Journal of Science Education
• /
• v.45 no.2
• /
• pp.219-230
• /
• 2021

In this study, we derived several formulas for magnetic fields and induced voltages in a parallel plate capacitor biased by DC voltages. The computer simulation based on the derived formulas reveals that the magnetic fields due to the displacement current fall within the range of 10^-10T to 10^-9T and thence the experiment for the displacement current is not possible because the magnetic field sensor used in Data Logger could measure the magnetic fields of above 10^-5T range. Contrary to this, the computer simulation confirms that the induced voltages in a toroidal coil due to the displacement current range measurable values of 0.002~0.021V. The results imply that the displacement current can be confirmed by measuring the induced voltages in a toroidal coil inserted into a parallel plate capacitor under DC biasing.

• JSTS:Journal of Semiconductor Technology and Science
• /
• v.13 no.1
• /
• pp.15-21
• /
• 2013

In this paper, a MEMS tunable capacitor was successfully designed and fabricated using an aluminum nitride film and a gold suspended membrane with two air gap structure for commercial RF applications. Unlike conventional two-parallel-plate tunable capacitors, the proposed tunable capacitor consists of one air suspended top electrode and two fixed bottom electrodes. One fixed and the top movable electrodes form a variable capacitor, while the other one provides necessary electrostatic actuation. The fabricated tunable capacitor exhibited a capacitance tuning range of 375% at 2 GHz, exceeding the theoretical limit of conventional two-parallel-plate tunable capacitors. In case of the contact state, the maximal quality factor was approximately 25 at 1.5 GHz. The developed fabrication process is also compatible with the existing standard IC (integrated circuit) technology, which makes it suitable for on chip intelligent transceivers and radios.

• JSTS:Journal of Semiconductor Technology and Science
• /
• v.1 no.3
• /
• pp.189-192
• /
• 2001

A simple metal-insulator-metal (MIM) capacitor in a standard $0.25{\;}\mu\textrm{m}$ digital CMOS process is described. Using all six interconnect layers, this capacitor exploits both the lateral and vertical electrical fields to increase the capacitance density (capacitance per unit area). Compared to a conventional parallel plate capacitor in the four upper metal layers, this capacitor achieves lower parasitic substrate capacitance, and improves the capacitance density by a factor of 4. Measurements and an extracted model for the capacitor are also presented. Calculations, model and measurements agree very well.

• ETRI Journal
• /
• v.23 no.1
• /
• pp.23-32
• /
• 2001

Examination of the statistical variation of integrated passive components is crucial for designing and characterizing the performance of multichip module (MCM) substrates. In this paper, the statistical analysis of parallel plate capacitors with gridded plates manufactured in a multilayer low temperature cofired ceramic (LTCC) process is presented. A set of integrated capacitor structures is fabricated, and their scattering parameters are measured for a range of frequencies from 50 MHz to 5 GHz. Using optimized equivalent circuits obtained from HSPICE, mean and absolute deviation is calculated for each component of each device model. Monte Carlo Analysis for the capacitor structures is then performed using HSPICE. Using a comparison of the Monte Carlo results and measured data, it is determined that even a small number of sample structures, the statistical variation of the component values provides an accurate representation of the overall capacitor performance.

• The Transactions of The Korean Institute of Electrical Engineers
• /
• v.60 no.10
• /
• pp.1888-1894
• /
• 2011

In this study, large-current (75 - 400 A), high-voltage (500 - 1000 $V_{rms}$), reliable capacitors with capacitances (C) of 100 - 1000 nF were developed for energy storage facility applications. Mica was used as the dielectric of the capacitors. In order to form a parallel stack of a capacitor element, 50 ${\mu}m$ thick mica sheets with a size of $30mm{\times}35mm$ were used with lead foils for the plate lead type of mica capacitors (HCM-L), while the same sizes of mica sheets coated by Ag paste were employed with lead foils for the parallel plate terminal type (HCM-C). The developed capacitors exhibited well behaviored device characteristics which meet the requirements of the capacitors. The developed capacitors also showed excellent characteristics for thermal shock test. The stability characteristics of developed capacitors for large current stress was superior to those measured for the capacitors prepared recently by CDETm.

• Journal of the Korea Convergence Society
• /
• v.9 no.11
• /
• pp.29-35
• /
• 2018

In this paper, we proposed a high sensitivity sensor that can detect the concentration change of Nacl aqueous solutions by using a slot coupling capacitor resonator in sub-microwave band. The resonator applied to the sensor consists of a parallel plate capacitor connected to an inductive slot utilizing the ground plane of the microstrip line. Based on the measurement data of the dielectric characteristics according to the concentration change, the resonance frequency was determined in the UHF band where the concentration change is evident and the Nacl aqueous solution is inserted into the capacitor. Based on the simulation, the proposed resonator was designed and fabricated. The concentration level was varied from 0 to 400 mg/dl as 100 mg/dl step, and the transmission scattering coefficient ($S_{21}$) was successfully measured. Experimental results show that it is applicable to the concentration detection sensor in Nacl aqueous solution by obtaining minimum 1.8 dB($S_{21}$) at each step.