The Electrodynamic Forces Acting on a Current Loop Placed in the Solenoid Field in Moving It along the Axis

  • Georgy N. TSITSIKYAN
  • Mikhail Yu. ANTIPOV
Keywords: circular solenoids, loops with a common axis, electrodynamic forces, mutual inductance

Abstract

The advisability of using expressions for the mutual inductance coefficients and electrodynamic forces of interaction in a system of circular solenoids and loops with a common axis that were obtained previously from an analytical study is shown on particular examples. The numerical results obtained from the expressions representing the mutual inductance coefficients in the form of written series are compared with the other known recommendations involving the use of tables or graphs. An expression for the
electrodynamic force of interaction between the loop and a solenoid with current is presented, and dependences for them constructed for different positions of the loop along the solenoid axis are given.

Author Biographies

Georgy N. TSITSIKYAN

TSITSIKYAN Georgy N. (Krylov State Research Centre, SET Branch, St. Petersburg, Russia) – Deputy Head of Dept., Academic secretary of Scientific and Technical Cobncil, Dr. Sci. (Eng.)

Mikhail Yu. ANTIPOV

ANTIPOV Mikhail Yu. (Krylov State Research Centre, SET Branch, St. Petersburg, Russia) – 1nd Category Design Engineer

References

1. Цицикян Г.Н. Взаимные индуктивности и силы взаимодействия соосных контуров, соленоидов и катушек. — Изв. АН СССР. Энергетика и транспорт, 1985, № 6, с. 90—99.
2. Калантаров П.Л., Цейтлин Л.А. Расчет индуктивностей: Справочная книга. Л.: Энергоатомиздат, 1986, 488 с.
3. Немцов М.В. Справочник по расчёту параметров катушек индуктивности. М.: Энергоатомиздат, 1989, 192 с.
4. Bueno M. and A.K.T. Assis Deriving Force from Inductanceю — IEEE Тransactions on Magnetics, January 1998, vol. 34, Nо. 1, pp. 317—319.
5. Цицикян Г.Н. О коэффициентах взаимной индукции и силах взаимодействия круговых коаксиальных контуров. — Электричество, 2019, № 6, с. 59—65.
6. Цицикян Г.Н. О взаимной индуктивности и электродинамических силах взаимодействия коаксиальных контуров. – Изв. АН. Энергетика, 2018, № 4, с. 40—45.
#
1. Tsitsikyan G.N. Izv. AN SSSR. Energetika i transport — in Russ. (News of USSR. Energetics and Transport), 1985, No. 6, pp. 90—99.
2. Kalantarov P.L., Tseytlin L.A. Raschet induktivnostey: Spravochnaya kniga (Calculation of inductances: Reference book). L.: Energoatomizdat, 1986, 488 p.
3. Nemtsov M.V. Spravochnik po raschotu parametrov katushek induktivnosti (A guide to calculating the parameters of inductors).M.: Energoatomizdat, 1989, 192 p.
4. Bueno M. and A.K.T. Assis. Deriving Force from Inductance. – IEEE Transactions on Magnetics), January, 1998, vol. 34, Nо. 1, pp. 317—319.
5. Tsitsikyan G.N. Elektrichestvo – in Russ. (Electricity), 2019, No. 6, pp. 59—65.
6. Tsitsikyan G.N. Izv. AN. Energetika – in Russ. (News of Russian Academy of Sciences. Energetics), 2018, No. 4, pp. 40—45.
Published
2020-08-01
Section
Article