Abstract: Renewable, green energy is an important field of research amidst the 21st century energy crisis. Many of the researches around the world had been consistently looking for new energy sources, but not as much as on the efficient storage of energy produced from these eco-friendly sources. This research considers how to increase the capacitance through inserting various types of dielectrics to use them as a substantial tool for sustainable development.
The research focuses on calculating the capacitances of batteries with diverse dielectrics, differing the combinations and geometrical structure of capacitors in order to figure out the capacitances of batteries that can store more energy with better efficiency. Mathematical, physical and computational analysis were employed to figure out the capacitances and stored energy. MATLAB computer programming was used to calculate potential charge distribution within capacitors, the change in the capacitance and electric field of plate capacitors.
Using mathematical calculations, general expressions for computing the relationship between capacitance and insulation material characteristics, such as dielectric constant, plate dimensions, for n-number of plate capacitors were found. Also the relationship between capacitance, dielectric constant, capacitor dimensions for a thin-walled hollow cylinder was studied. In this work, we showed the influence of the multi-plate capacitor system taking into account the geometrical and types of combinations of the conducting plates.
Keywords: Green energy, capacitance, dielectric constant, conducting plates
References:
William D. Greason (1992). Electrostatic discharge in electronics. Research Studies Press. p. 48. ISBN 978-0-86380-136-5. Retrieved 4 December 2011.
Tipler, Paul; Mosca, Gene (2004). Physics for Scientists and Engineers (5th ed.). Macmillan. p. 752. ISBN 978-0-7167-0810-0
Massarini, A.; Kazimierczuk, M.K. (1997). "Self capacitance of inductors". IEEE Transactions on Power Electronics. 12 (4): 671–676. Bibcode:1997ITPE...12..671M. CiteSeerX 10.1.1.205.7356. doi:10.1109/63.602562: example of the use of the term 'self capacitance'.
Jackson, John David (1999). Classical Electrodynamic (3rd ed.). John Wiley & Sons. p. 43. ISBN 978-0-471-30932-1.
Maxwell, James (1873). "3". A treatise on electricity and magnetism. 1. Clarendon Press. p. 88ff.
"Capacitance : Charge as a Function of Voltage". Av8n.com. Retrieved 20 September 2010.
Fundamentals of Electronics. Volume 1b — Basic Electricity — Alternating Current. Bureau of Naval Personnel. 1965. p. 197.
Binns; Lawrenson (1973). Analysis and computation of electric and magnetic field problems. Pergamon Press. ISBN 978-0-08-016638-4.
Rawlins, A. D. (1985). "Note on the Capacitance of Two Closely Separated Spheres". IMA Journal of Applied Mathematics. 34 (1): 119–120. doi:10.1093/imamat/34.1.119.
Vainshtein, L. A. (1962). "Static boundary problems for a hollow cylinder of finite length. III Approximate formulas". Zh. Tekh. Fiz. 32: 1165–1173.