Electrical capacitance of dielectric coated metallic parallelepiped and closed cylinder isolated in free space

Abstract This paper presents a method for the evaluation of the capacitance and the charge distribution of a dielectric coated metallic parallelepiped and a dielectric coated metallic hollow cylinder with the top and bottom cover plates using the method of moments (MoM) based on the pulse basis function and the point matching. Boundary conditions for the potential on the conductor surfaces and continuity of the normal component of the displacement density at the dielectric-free space interface is used to generate two integral equations. Two sets of simultaneous equations are formed from the two integral equations using the MoM. The total charge on the conductor surface is found from the solution for the set of simultaneous equations. The validity of the analysis has been justified by comparing the data on the capacitance available in the literature for metallic cube and hollow cylinder with top and bottom cover plates with the data on capacitance, computed by the present method for similar structures considering a very low dielectric constant as well as a very thin dielectric coating.

[1]  B. Das,et al.  Capacitance of metallic structures in the form of paraboloidal and spherical reflectors , 1997 .

[2]  Davood Domiri Ganji,et al.  Study on nonlinear Jeffery-Hamel flow by He's semi-analytical methods and comparison with numerical results , 2009, Comput. Math. Appl..

[3]  M. Famouri,et al.  The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery–Hamel flow , 2009 .

[4]  Er-Wei Bai,et al.  On the capacitance of a cube , 2002, Comput. Electr. Eng..

[5]  Davood Domiri Ganji,et al.  Application of energy balance method and variational iteration method to an oscillation of a mass attached to a stretched elastic wire , 2010 .

[6]  Thomas J. Higgins,et al.  Calculation of the Electrical Capacitance of a Cube , 1951 .

[7]  Hamid Reza Mohammadi Daniali,et al.  Variational iteration method for solving the epidemic model and the prey and predator problem , 2007, Appl. Math. Comput..

[8]  B. Das,et al.  Calculation of the electrical capacitance of a truncated cone , 1997 .

[9]  Sukhendu Das,et al.  Capacitance of dielectric coated cylinder of finite axial length and truncated cone isolated in free space , 2002 .

[10]  Er-Wei Bai,et al.  The spherical capacitor: a vehicle to introduce numerical methods , 2003, Comput. Electr. Eng..

[11]  Saswati Ghosh,et al.  Estimation of capacitance of different conducting bodies by the method of rectangular subareas , 2008 .

[12]  R. Scharstein,et al.  Capacitance of a tube , 2007 .

[13]  Efficient Capacitance Computation for Three-Dimensional Structures Based On Adaptive Integral Method - Abstract , 2000 .

[14]  Chi-Ok Hwang,et al.  Electrical capacitance of the unit cube , 2004 .

[15]  S. B. Chakrabarty,et al.  Moment method analysis of charge distribution & capacitance for the dielectric coated tilted plates isolated in free space , 2012 .

[16]  H. J. Wintle,et al.  The capacitance of the cube and square plate by random walk methods , 2004 .

[17]  Mengu Cho,et al.  Electrostatic Discharge Ground Test of a Polar Orbit Satellite Solar Panel , 2006, IEEE Transactions on Plasma Science.

[18]  A. Ranjbar,et al.  Maintaining the stability of nonlinear differential equations by the enhancement of HPM , 2008 .

[19]  C. Monzon.  The capacitance of a dielectric coated finite cylindrical duct , 2003 .

[20]  Yumin Xiang,et al.  Further study on electrostatic capacitance of an inclined plate capacitor , 2008 .