Electrostatic problem for a thin, unclosed ellipsoidal shell and disk

Pleiades Publishing Ltd - Tập 44 - Trang 133-136 - 1999
G. Ch. Shushkevich1
1Ya. Kupala Grodno State University, Grodno, Belarus

Tóm tắt

The axisymmetric electrostatic problem of a thin, unclosed ellipsoidal shell and disk is solved. The capacitance coefficients are calculated for a representative set of values of the geometrical parameters of the conductors.

Tài liệu tham khảo

N. N. Lebedev, Special Functions and Their Applications [in Russian], GIITL, Moscow, 1953, 380 pp. S. V. Shushkevich and G. Ch. Shushkevich, Vestsi ANB Ser. Fiz. Mat. Navuk [Bulletin of the Belorussian Academy of Sciences, Ser. Phys. Math. Sciences, in Belorussian], No. 1, 118 (1993). Handbook of Special Functions with Formulas, Graphs, and Mathematical Tables [in Russian], Nauka, Moscow, 1979, 832 pp. V. Ya. Arsenin, Methods of Mathematical Physics, and Special Functions [in Russian], Nauka, Moscow, 1984, 384 pp. A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics [in Russian], Nauka, Moscow, 1984, 344 pp. S. M. Apollonskii and V. I. Erofeenko, Electromagnetic Fields in Screening Shells [in Russian], Minsk University Press, Minsk, 1988, 248 pp. G. Ch. Shushkevich, Élektrichestvo, No. 6, 51 (1988). G. Ch. Shushkevich, Zh. Tekh. Fiz. 54, 1801 (1984) [Sov. Phys. Tech. Phys. 29, 1050 (1984)]. Yu. Ya. Iossel’, É. S. Kochanov, and M. L. Strunskii, Calculation of Electrical Capacitance [in Russian], Ěnergoizdat, Leningrad, 1981, 288 pp. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Elementary Functions [in Russian], Nauka, Moscow, 1981, 800 pp. MathCAD 6.0 PLUS. Business, Engineering, and Scientific Calculations in Windows 95 [in Russian], Filin’, Moscow, 1996, 698 pp.