Electric field strength of charged conducting balls and the breakdown of the air gap between them

Field amplification factors at the surfaces of two charged conducting balls are calculated numerically. It is shown that as the balls are brought closer together, except when their potentials are equal, the amplification factors go to infinity, and in the case of like-charged balls the field at the surface of one of them changes sign. Breakdown field strengths for the air gap between balls of a different diameter are calculated using the experimental data of other authors as the base. The results suggest that the minimum breakdown field strength is 26 kV cm^-1 . The author’s earlier results on the interaction force between the balls are revised.

PACS: 41.20.Cv, 52.80.−s (all)
DOI: 10.1070/PU2002v045n12ABEH001203
URL: https://ufn.ru/en/articles/2002/12/d/
Web of Science

000182061800004
Citation: Saranin V A "Electric field strength of charged conducting balls and the breakdown of the air gap between them" Phys. Usp. 45 1287–1292 (2002)

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Оригинал: Саранин В А «Напряженность электрического поля заряженных проводящих шаров и пробой воздушного промежутка между ними» УФН 172 1449–1454 (2002); DOI: 10.3367/UFNr.0172.200212e.1449

References (20) ↓ Cited by (22) Similar articles (20)

Raîzer Yu P Fizika Gazovogo Razryada (Gas Discharge Physics, Moscow: Nauka, 1987) [Translated into English (Berlin: Springer-Verlag, 1991)]
Stekol’nikov I S Priroda Dlinnoî Iskry (Nature of a Long Spark, Moscow: Izd. Akad. Nauk SSSR, 1960)
Meek J M, Craggs J D Electrical Breakdown of Gases (Oxford: Clarendon Press, 1954) [Translated into Russian (Moscow: IL, 1960)]
Skanavi G I Fizika Dielektrikov (Oblast’ Sil’nykh Poleî, Physics of Dielectrics: Strong Field Area, Moscow: Fizmatgiz, 1958)
Shishkin N S Oblaka, Osadki i Grozovoe Elektrichestvo (Clouds, Precipitation and Thunderstorm Electricity, Moscow: GITTL, 1954)
Mason B J The Physics of Clouds (Oxford: Clarendon Press, 1957) [Translated into Russian (Leningrad: Gidrometeoizdat, 1961)]
Muchnik V M Fizika Grozy (Physics of Thunderstorm, Leningrad: Gidrometeoizdat, 1974)
Muchnik V M, Fishman B E Elektrizatsiya Grubodispersnykh Aerozoleî v Atmosfere (Electrization of Coarse-Dispersed Aerosols in Atmosphere, Leningrad: Gidrometeoizdat, 1982)
Saranin V A Zh. Tekh. Fiz. 69 (12) 12 (1999) [Tech. Phys. 44 1407 (1999)]
Saranin V A Izv. Ross. Akad. Nauk Fiz. Atmos. Okeana 37 658 (2001) [Izv. Atmos. Ocean Phys. 37 610 (2001)]
Davis M H Quart. J. Mech. Appl. Math. 17 499 (1964)
Kim V M Tr. Inst. Eksp. Meteorologii (48) 29 (1989)
Ochs H T, Czys R R Nature 327 606 (1987)
Saranin V A Usp. Fiz. Nauk 169 453 (1999) [Phys. Usp. 42 385 (1999)]
Saranin V A Fiz. Obrazovanie Vuzakh 6 (3) 49 (2000)
Smythe W R Static and Dynamic Electricity 2nd ed. (New York: McGraw-Hill, 1950) [Translated into Russian (Moscow: IL, 1954)]
Mirolyubov N N et al. Metody Rascheta Elektrostaticheskikh Poleî (Computing Methods for Electrostatic Fields, Moscow: Vysshaya Shkola, 1963)
Vereshchagin I P (Ed.) Osnovy Elektrodinamiki Dispersnykh Sistem (Fundamentals of Dispersed System Electrodynamics, Moscow: Energiya, 1974)
Geppe A P, in Fizicheskie Velichiny. Spravochnik (Physical Quantities. Reference Book, Eds I S Grigor’ev, E Z Meîlikhov, Moscow: Energoatomizdat, 1991) p. 546 [Translated into English: Handbook of Physical Quantities (Eds I S Grigoriev, E Z Meilikhov, Boca Raton: CRC Press, 1997) p. 671]
Govorkov V A Elektricheskie i Magnitnye Polya (Electric and Magnetic Fields, Moscow: Energiya, 1968)