Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)


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??? The Equivalence Rule in Field and Force Magneto-Statics. Izvestiya of Sarat. Univ. Physics. , 2007, vol. 7, iss. 1, pp. 40-43. DOI: 10.18500/1817-3020-2007-7-1-40-43

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Russian
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538.245

The Equivalence Rule in Field and Force Magneto-Statics

Abstract: 

Relationship between Ampere and Biot-Savart force laws is studied. it is shown that both formulations of magnetic interactions of currents are identical if the action of an unclosed part of the current loop on itself is taken into account.

 

Reference: 
  1. Weber T.A., Macomb D.J. On the Equivalence of the Laws of Biot-Savart and Ampere // Amer. J. of Physics. 1989. V.57, №l.P.57-59.
  2. 'Гамм П.Е. Основ теори электричества. М: ГИТТЛ, 1954.620 с.
  3. Cerasimov S.A. Self-Interaction and Vector Potential in Magnetostatics// Physica Scripta. 1997. V.56. P.462-464.
  4. Gerasimov S.A., Gorokhovikov S.L., Grigorian M.A. A Spe cific Feature of Unipolar Rotation // Technical Physics Letters. 2005. V.31.№l.P.79-80.
  5. Christodoulides С Equivalence of the Ampere and Biot Savart Force Laws in Magnetostatics // .1. Physics A. 1987. V.20. P.2037-2042.
  6. Phipp.s Т.Е., Phipps Т.Е. (Jr). Observation of Ampere Forces in Mercury // Physics Letters A. 1990. V.I46, №1-2. P.6-14. 
  7. Graneau N. The Finite Size of the Metallic Current Element // Physics Letters A. 1990. V.147. №2-3. P.92-96.
  8. Cavalieri G., Spavieri G., Spinelli G. The Ampere and Biot Savart Force Laws // European J. of Physics. 1996. V.I7. №4. P.205-207.
  9. Cavalieri G, Bettoni G., Tonni £., Spavieri G. Experimental Proof of Standard Elecrodynamics by Measuring the SelfForce on a Part of a Current Loop // Physical Review E. 1998. V.58, №2. P.2505-2517.
  10. Christodoulides С Comparison of the Ampere and Biot Savart Magnetostatic Force Laws in Their Line-Current-Ele ment Forms // Amer. J. of Physics. 1988. V.56, №4. P.357-362.
  11. Graneau P. Longitudial Force in Ampere's Wire-Arc Ex periment//Physics Letters A. 1989. V.137,№3. P.87-92.