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On the size of induced charges and the electrostatic dipole of a prolate conducting spheroid positioned collinear to a uniform electrostatic field

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Abstract

The sizes and positions of the centers of induced charges and the size of a polarized dipole were found analytically in the spherical system of coordinates by the transition from spheroidal coordinates in the linear approximation to the square of the eccentricity.

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References

  1. Amelin, A.G., Teoreticheskie osnovy obrazovaniya tumana pri kondensatsii para (Theoretical Basis of Mist Formation at Vapor Condensation), Moscow Khimiya, 1966.

    Google Scholar 

  2. Green, H. and Lane, W., Particulate Clouds: Dusts, Smokes, and Mists, Princeton, NJ Van Nostrand- Reinhold, 1964.

    Google Scholar 

  3. Kachurin, L.G., Fizicheskie osnovy vozdeistviya na atmosfernye protsessy (Physical Principles of the Control of Atmospheric Processes), Leningrad Gidrometeoizdat, 1990.

    Google Scholar 

  4. Mazin, I.P., Hrigian, A.H., and Imyanitov, I.M., Oblaka i oblachnaya atmosfera. Spravochnik (Clouds and Cloudy Atmosphere: Handbook), Leningrad Gidrometeoizdat, 1989.

    Google Scholar 

  5. Gabovich, M.D., Usp. Fiz. Nauk, 1983, vol. 140, no. 1, pp. 137–151.

    Article  MathSciNet  Google Scholar 

  6. Bailey, A.G., Atomization Spray Technol., 1986, vol. 2, pp. 95–134.

    Google Scholar 

  7. Fenn, J.B., Mann, M., Meng, C.K., et al., Science, 1989, vol. 246, no. 4926, pp. 64–71.

    Article  Google Scholar 

  8. Feng, Z.C. and Beard, K.V., J. Fluid Mech., 1991, vol. 227, pp. 429–447.

    Article  Google Scholar 

  9. Wilson, C.T. and Taylor, G.I., Proc. Cambridge Phil. Soc., 1925, vol. 22, pp. 728–730.

    Article  Google Scholar 

  10. Grigor’ev, A.I. and Sinkevich, O.A., Izv. Akad. Nauk SSSR, Mekh. Zhidkosti Gaza, 1985, no. 6, pp. 10–15.

    Google Scholar 

  11. Cheng, K.J., Phys. Lett. A, 1985, vol. 112, no. 110, pp. 392–396.

    Article  Google Scholar 

  12. Shiryaeva, S.O., Volkova, M.V., and Grigor’ev, A.I., Tech. Phys., 2005, vol. 50, no. 3, pp. 321–329.

    Article  Google Scholar 

  13. Shiryaeva, S.O., Kolbneva, N.Y., Grigor’ev, A.I., and Artemova, T.K., Tech. Phys., 2015, vol. 60, no. 4, pp. 497–504.

    Article  Google Scholar 

  14. Shiryaeva, S.O., Tech. Phys., 2002, vol. 47, no. 4, pp. 389–396.

    Article  MathSciNet  Google Scholar 

  15. Stratton, J.A., Electromagnetic Theory, New York Wiley, 1941.

    MATH  Google Scholar 

  16. Smythe, W.R., Static and Dynamic Electricity, NewYork McGraw-Hill, 1950.

    MATH  Google Scholar 

  17. Batygin, V.V. and Toptygin, I.N., Sbornik zadach po elektrodinamike (Collection of Tasks on Electrodynamics), Moscow Nauka, 1970.

    Google Scholar 

  18. Landau, L.D. and Lifshitz, E.M., Elektrodinamika sploshnykh sred (Electrodynamics of Continuous Media), Moscow Nauka, 1957.

    Google Scholar 

  19. Shiryaeva, S.O., Tech. Phys., 2000, vol. 45, no. 6, pp. 687–693.

    Article  Google Scholar 

  20. Varshalovich, D.A., Moskalev, A.N., and Khersonskii, V.K., Kvantovaya teoriya uglovogo momenta (Quantum Theory of Angular Moment), Leningrad Nauka, 1975.

    Google Scholar 

  21. Tamm, I.E., Fundamentals of the Theory of Electricity, Moscow Mir, 1979.

    Google Scholar 

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Correspondence to S. O. Shiryaeva.

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Original Russian Text © N.Yu. Kolbneva, S.O. Shiryaeva, Yu.B. Kuz’michev, 2017, published in Elektronnaya Obrabotka Materialov, 2017, No. 1, pp. 19–25.

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Kolbneva, N.Y., Shiryaeva, S.O. & Kuz’michev, Y.B. On the size of induced charges and the electrostatic dipole of a prolate conducting spheroid positioned collinear to a uniform electrostatic field. Surf. Engin. Appl.Electrochem. 53, 20–26 (2017). https://doi.org/10.3103/S1068375517010070

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  • DOI: https://doi.org/10.3103/S1068375517010070

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