Surface charges and fields of simple circuits

American Journal of Physics

Volumn 68, Issue 11, 2000, Pages 1002-1006

  Preyer, Norris W ^a  

^a School of Business   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034356253     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1286115     Document Type: Article

References (38)

1. Ruth W. Chabay and Bruce A. Sherwood, Electric and Magnetic Interactions (Wiley, New York, 1995), page references are to the 1995 edition. A preliminary second edition is now available from Wiley.
2. Bruce A. Sherwood and Ruth W. Chabay, "Electrical interactions and the atomic structure of matter: Adding qualitative reasoning to a calculus-based electricity and magnetism course," in Caillot (Ref. 30), pp. 23-35.
3. Bruce A. Sherwood and Ruth W. Chabay, "A unified treatment of electrostatics and circuits," URL http://cil.andrew.cmu.edu/emi.
4. J. D. Jackson, "Surface charges on circuit wires and resistors play three roles," Am. J. Phys. 64, 855-870 (1996).
5. Ernesto Martín and Rafael Chicón, "Computer assisted learning of basic concepts in electricity and electromagnetic wave propagation," in Caillot (Ref. 30), pp. 211-226.
6. W. M. Saslow, "Consider a spherical battery...," Am. J. Phys. 62, 495-501 (1994).
7. See, for example, A. Sommerfeld, Electrodynamics (Academic, New York, 1952), pp. 125-130; Alexander Marcus, "The electric field associated with a steady current in long cylindrical conductor," Am. J. Phys. 9, 225-226 (1941); B. R. Russell, "Surface charge on conductors carrying steady currents," ibid. 36, 527-529 (1968). Varney and Fisher [R. N. Varney and L. H. Fisher, "Electric fields associated with stationary currents," ibid. 52, 1097-1099 (1984)] give a review and critique of early work on this problem.
8. See, for example, A. Sommerfeld, Electrodynamics (Academic, New York, 1952), pp. 125-130; Alexander Marcus, "The electric field associated with a steady current in long cylindrical conductor," Am. J. Phys. 9, 225-226 (1941); B. R. Russell, "Surface charge on conductors carrying steady currents," ibid. 36, 527-529 (1968). Varney and Fisher [R. N. Varney and L. H. Fisher, "Electric fields associated with stationary currents," ibid. 52, 1097-1099 (1984)] give a review and critique of early work on this problem.
9. See, for example, A. Sommerfeld, Electrodynamics (Academic, New York, 1952), pp. 125-130; Alexander Marcus, "The electric field associated with a steady current in long cylindrical conductor," Am. J. Phys. 9, 225-226 (1941); B. R. Russell, "Surface charge on conductors carrying steady currents," ibid. 36, 527-529 (1968). Varney and Fisher [R. N. Varney and L. H. Fisher, "Electric fields associated with stationary currents," ibid. 52, 1097-1099 (1984)] give a review and critique of early work on this problem.
10. See, for example, A. Sommerfeld, Electrodynamics (Academic, New York, 1952), pp. 125-130; Alexander Marcus, "The electric field associated with a steady current in long cylindrical conductor," Am. J. Phys. 9, 225-226 (1941); B. R. Russell, "Surface charge on conductors carrying steady currents," ibid. 36, 527-529 (1968). Varney and Fisher [R. N. Varney and L. H. Fisher, "Electric fields associated with stationary currents," ibid. 52, 1097-1099 (1984)] give a review and critique of early work on this problem.
11. Mark A. Heald, "Electric fields and charges in elementary circuits," Am. J. Phys. 52, 522-526 (1984).
12. J. M. Aguirregabiria, A. Hernández, and M. Rivas, "An example of surface charge distribution on conductors carrying steady currents," Am. J. Phys. 60, 138-141 (1992).
13. J. M. Aguirregabiria, A. Hernández, and M. Rivas, "Surface charges and energy flow in a ring rotating in a magnetic field," Am. J. Phys. 64, 892-895 (1996).
14. W. G. V. Rosser, "Magnitudes of surface charge distributions associated with electric current flow," Am. J. Phys. 38, 265-266 (1970).
15. W. G. V. Rosser, "What makes an electric current 'flow,' " Am. J. Phys. 31, 884-885 (1963).
16. Adolf Walz, "Fields that accompany currents," in Duit et al. (Ref. 31), pp. 403-412.
17. W. R. Moreau, "Charge distribution on de circuits and Kirchhoff's laws," Eur. J. Phys. 10, 286-290 (1989).
18. Oleg Jefimenko, "Demonstration of the electric fields of current-carrying conductors," Am. J. Phys. 30, 19-21 (1962).
19. W. R. Moreau, S. G. Ryan, S. J. Beuzenberg, and R. W. G. Syme, "Charge density in circuits," Am. J. Phys. 53, 552-553 (1985).
20. Sherwood Parker, "Electrostatics and current flow," Am. J. Phys. 38, 720-723 (1970).
21. Barbara Y. White, John R. Frederiksen, and Kathryn T. Spoehr, "Conceptual models for understanding the behavior of electrical circuits," in Caillot (Ref. 30), pp. 77-95. These models were designed for educational research, not physical accuracy, and ignore the distinction between volume and surface charges, and allow only nearest-neighbor interactions.
22. Oleg Jefimenko, Electricity and Magnetism (Appleton-Century-Crofts, New York, 1966), pp. 295-304.
23. Oleg Jefimenko, "Electric fields in conductors," Phys. Teach. 15, 52-53 (1977).
24. Herrmann Härtel, "The electric voltage," in Duit et al. (Ref. 31), pp. 353-362.
25. Herrmann Haertel, "New approach to introduce basic concepts in electricity," in Caillot (Ref. 30), pp. 5-21.
26. Clifford E. Swartz, Phenomenal Physics (Wiley, New York, 1981).
27. Clifford E. Swartz and Thomas Miner, Teaching Introductory Physics: A Sourcebook (AIP Press, Woodbury, NY, 1997).
28. David J. Griffiths, Introduction to Electrodynamics (Prentice-Hall, Englewood Cliffs, NJ, 1989), 2nd ed.
29. Herrmann Härtel, "The electric circuit as a system," in Duit et al. (Ref. 31), pp. 343-352.
30. Norris W. Preyer, "Surface charges and feedback in simple circuits," URL http://galaxy.cofc.edu/pubs/tpt99/, Phys. Teach, (submitted).
31. Susanne Pfalzner and Paul Gibbon, Many-Body Tree Methods in Physics (Cambridge U.P., New York, 1996).
32. See Ref. 25, p. 335, problem 7.51. This inclusion of the displacement current density was not actually necessary, for only the real current density is needed in the Biot-Savart law for quasistatic circuits (see David J. Griffiths and Mark A. Heald, "Time-dependent generalizations of the Biot-Savart and Coulomb laws," Am. J. Phys. 59, 111-117 (1991); A. P. French and Jack R. Tessman, "Displacement currents and magnetic fields," ibid. 31, 201-204 (1963); Oleg D. Jefimenko, "Comment on 'On the equivalence of the laws of Biot-Savart and Ampere,' by T. A. Weber and D. J. Macomb [Am. J. Phys. 57, 57-59 (1989)]," ibid. 58, 505 (1990); Edward M. Purcell, Electricity and Magnetism, Berkeley Physics Course, Vol. 2 (McGraw-Hill, New York, 1962), 1st ed., pp. 261-262. Removing the displacement current from Eq. (4) resulted in only small changes to the calculated magnetic fields.
33. See Ref. 25, p. 335, problem 7.51. This inclusion of the displacement current density was not actually necessary, for only the real current density is needed in the Biot-Savart law for quasistatic circuits (see David J. Griffiths and Mark A. Heald, "Time-dependent generalizations of the Biot-Savart and Coulomb laws," Am. J. Phys. 59, 111-117 (1991); A. P. French and Jack R. Tessman, "Displacement currents and magnetic fields," ibid. 31, 201-204 (1963); Oleg D. Jefimenko, "Comment on 'On the equivalence of the laws of Biot-Savart and Ampere,' by T. A. Weber and D. J. Macomb [Am. J. Phys. 57, 57-59 (1989)]," ibid. 58, 505 (1990); Edward M. Purcell, Electricity and Magnetism, Berkeley Physics Course, Vol. 2 (McGraw-Hill, New York, 1962), 1st ed., pp. 261-262. Removing the displacement current from Eq. (4) resulted in only small changes to the calculated magnetic fields.
34. See Ref. 25, p. 335, problem 7.51. This inclusion of the displacement current density was not actually necessary, for only the real current density is needed in the Biot-Savart law for quasistatic circuits (see David J. Griffiths and Mark A. Heald, "Time-dependent generalizations of the Biot-Savart and Coulomb laws," Am. J. Phys. 59, 111-117 (1991); A. P. French and Jack R. Tessman, "Displacement currents and magnetic fields," ibid. 31, 201-204 (1963); Oleg D. Jefimenko, "Comment on 'On the equivalence of the laws of Biot-Savart and Ampere,' by T. A. Weber and D. J. Macomb [Am. J. Phys. 57, 57-59 (1989)]," ibid. 58, 505 (1990); Edward M. Purcell, Electricity and Magnetism, Berkeley Physics Course, Vol. 2 (McGraw-Hill, New York, 1962), 1st ed., pp. 261-262. Removing the displacement current from Eq. (4) resulted in only small changes to the calculated magnetic fields.
35. See Ref. 25, p. 335, problem 7.51. This inclusion of the displacement current density was not actually necessary, for only the real current density is needed in the Biot-Savart law for quasistatic circuits (see David J. Griffiths and Mark A. Heald, "Time-dependent generalizations of the Biot-Savart and Coulomb laws," Am. J. Phys. 59, 111-117 (1991); A. P. French and Jack R. Tessman, "Displacement currents and magnetic fields," ibid. 31, 201-204 (1963); Oleg D. Jefimenko, "Comment on 'On the equivalence of the laws of Biot-Savart and Ampere,' by T. A. Weber and D. J. Macomb [Am. J. Phys. 57, 57-59 (1989)]," ibid. 58, 505 (1990); Edward M. Purcell, Electricity and Magnetism, Berkeley Physics Course, Vol. 2 (McGraw-Hill, New York, 1962), 1st ed., pp. 261-262. Removing the displacement current from Eq. (4) resulted in only small changes to the calculated magnetic fields.
36. See Ref. 25, p. 335, problem 7.51. This inclusion of the displacement current density was not actually necessary, for only the real current density is needed in the Biot-Savart law for quasistatic circuits (see David J. Griffiths and Mark A. Heald, "Time-dependent generalizations of the Biot-Savart and Coulomb laws," Am. J. Phys. 59, 111-117 (1991); A. P. French and Jack R. Tessman, "Displacement currents and magnetic fields," ibid. 31, 201-204 (1963); Oleg D. Jefimenko, "Comment on 'On the equivalence of the laws of Biot-Savart and Ampere,' by T. A. Weber and D. J. Macomb [Am. J. Phys. 57, 57-59 (1989)]," ibid. 58, 505 (1990); Edward M. Purcell, Electricity and Magnetism, Berkeley Physics Course, Vol. 2 (McGraw-Hill, New York, 1962), 1st ed., pp. 261-262. Removing the displacement current from Eq. (4) resulted in only small changes to the calculated magnetic fields.
37. Michel Caillot, editor, Learning Electricity and Electronics with Advanced Educational Technology, NATO ASI Series F, Vol. 115 (Springer-Verlag, Berlin, 1993).
38. Reinders Duit, Walter Jung, and Christoph von Rhöneck, editors, Aspects of Understanding Electricity: Proceedings of an International Conference (IPN/Schmidt and Klaunig, Kiel, Germany, 1985).