Field just outside a long solenoid

American Journal of Physics

Volumn 69, Issue 7, 2001, Pages 751-754

  Farley, Jason ^a   Price, Richard H ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035594023     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1362694     Document Type: Article

References (13)

1. See, for example, D. C. Giancoli, Physics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1991), Sec. 20-12.
2. See, for example, L. S. Lerner, Physics for Scientists and Engineers (Jones and Bartlett, Boston, 1996), Sec. 29.4. Here it is argued that the external field must be weak since it fills an infinie space.
3. See, for example, Fig. 30.14 of R. Serway, Physics for Scientists and Engineers (Saunders, Philadelphia. 1990), or Fig. 30-28 in R. Wolfson and J. M. Pasachoff, Physics, 3rd ed. (Addison-Wesley, Reading, MA, 1999).
4. See, for example, Fig. 30.14 of R. Serway, Physics for Scientists and Engineers (Saunders, Philadelphia. 1990), or Fig. 30-28 in R. Wolfson and J. M. Pasachoff, Physics, 3rd ed. (Addison-Wesley, Reading, MA, 1999).
5. In the special case of a circular cross section solenoid, the symmetry allows an analytic treatment of the fields just outside the solenoid. See J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1998), Prob. 5.5.
6. This symmetry of mutual inductance is usually stated in introductory texts, but no proof is given. See for example, R. Serway, Physics for Scientists and Engineers (Saunders, Philadelphia, 1990), Sec. 32.4; R. Wolfson and J. M. Pasachoff, Physics, 3rd ed. (Addison-Wesley, Reading, MA, 1999), Sec. 32.1; D. C. Giancoli, Physics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1991), Sec. 21-9; L. S. Lerner, Physics for Scientists and Engineers (Jones and Bartlett, Boston, 1996), Sec. 31.2. The symmetry is usually proven in junior-level texts by the presentation of the Neumann formula. See, for example, D. J. Griffiths, Introduction to Electrodynamics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1999), Sec. 7.2.3J. R. Reitz and F. J. Milford, Foundations of Electromagnetic Theory (Addison-Wesley, Reading. MA, 1960), Sec. 9.4; W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, MA, 1955). Sec. 10-3.
7. This symmetry of mutual inductance is usually stated in introductory texts, but no proof is given. See for example, R. Serway, Physics for Scientists and Engineers (Saunders, Philadelphia, 1990), Sec. 32.4; R. Wolfson and J. M. Pasachoff, Physics, 3rd ed. (Addison-Wesley, Reading, MA, 1999), Sec. 32.1; D. C. Giancoli, Physics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1991), Sec. 21-9; L. S. Lerner, Physics for Scientists and Engineers (Jones and Bartlett, Boston, 1996), Sec. 31.2. The symmetry is usually proven in junior-level texts by the presentation of the Neumann formula. See, for example, D. J. Griffiths, Introduction to Electrodynamics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1999), Sec. 7.2.3J. R. Reitz and F. J. Milford, Foundations of Electromagnetic Theory (Addison-Wesley, Reading. MA, 1960), Sec. 9.4; W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, MA, 1955). Sec. 10-3.
8. This symmetry of mutual inductance is usually stated in introductory texts, but no proof is given. See for example, R. Serway, Physics for Scientists and Engineers (Saunders, Philadelphia, 1990), Sec. 32.4; R. Wolfson and J. M. Pasachoff, Physics, 3rd ed. (Addison-Wesley, Reading, MA, 1999), Sec. 32.1; D. C. Giancoli, Physics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1991), Sec. 21-9; L. S. Lerner, Physics for Scientists and Engineers (Jones and Bartlett, Boston, 1996), Sec. 31.2. The symmetry is usually proven in junior-level texts by the presentation of the Neumann formula. See, for example, D. J. Griffiths, Introduction to Electrodynamics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1999), Sec. 7.2.3J. R. Reitz and F. J. Milford, Foundations of Electromagnetic Theory (Addison-Wesley, Reading. MA, 1960), Sec. 9.4; W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, MA, 1955). Sec. 10-3.
9. This symmetry of mutual inductance is usually stated in introductory texts, but no proof is given. See for example, R. Serway, Physics for Scientists and Engineers (Saunders, Philadelphia, 1990), Sec. 32.4; R. Wolfson and J. M. Pasachoff, Physics, 3rd ed. (Addison-Wesley, Reading, MA, 1999), Sec. 32.1; D. C. Giancoli, Physics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1991), Sec. 21-9; L. S. Lerner, Physics for Scientists and Engineers (Jones and Bartlett, Boston, 1996), Sec. 31.2. The symmetry is usually proven in junior-level texts by the presentation of the Neumann formula. See, for example, D. J. Griffiths, Introduction to Electrodynamics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1999), Sec. 7.2.3J. R. Reitz and F. J. Milford, Foundations of Electromagnetic Theory (Addison-Wesley, Reading. MA, 1960), Sec. 9.4; W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, MA, 1955). Sec. 10-3.
10. This symmetry of mutual inductance is usually stated in introductory texts, but no proof is given. See for example, R. Serway, Physics for Scientists and Engineers (Saunders, Philadelphia, 1990), Sec. 32.4; R. Wolfson and J. M. Pasachoff, Physics, 3rd ed. (Addison-Wesley, Reading, MA, 1999), Sec. 32.1; D. C. Giancoli, Physics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1991), Sec. 21-9; L. S. Lerner, Physics for Scientists and Engineers (Jones and Bartlett, Boston, 1996), Sec. 31.2. The symmetry is usually proven in junior-level texts by the presentation of the Neumann formula. See, for example, D. J. Griffiths, Introduction to Electrodynamics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1999), Sec. 7.2.3J. R. Reitz and F. J. Milford, Foundations of Electromagnetic Theory (Addison-Wesley, Reading. MA, 1960), Sec. 9.4; W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, MA, 1955). Sec. 10-3.
11. This symmetry of mutual inductance is usually stated in introductory texts, but no proof is given. See for example, R. Serway, Physics for Scientists and Engineers (Saunders, Philadelphia, 1990), Sec. 32.4; R. Wolfson and J. M. Pasachoff, Physics, 3rd ed. (Addison-Wesley, Reading, MA, 1999), Sec. 32.1; D. C. Giancoli, Physics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1991), Sec. 21-9; L. S. Lerner, Physics for Scientists and Engineers (Jones and Bartlett, Boston, 1996), Sec. 31.2. The symmetry is usually proven in junior-level texts by the presentation of the Neumann formula. See, for example, D. J. Griffiths, Introduction to Electrodynamics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1999), Sec. 7.2.3J. R. Reitz and F. J. Milford, Foundations of Electromagnetic Theory (Addison-Wesley, Reading. MA, 1960), Sec. 9.4; W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, MA, 1955). Sec. 10-3.
12. This symmetry of mutual inductance is usually stated in introductory texts, but no proof is given. See for example, R. Serway, Physics for Scientists and Engineers (Saunders, Philadelphia, 1990), Sec. 32.4; R. Wolfson and J. M. Pasachoff, Physics, 3rd ed. (Addison-Wesley, Reading, MA, 1999), Sec. 32.1; D. C. Giancoli, Physics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1991), Sec. 21-9; L. S. Lerner, Physics for Scientists and Engineers (Jones and Bartlett, Boston, 1996), Sec. 31.2. The symmetry is usually proven in junior-level texts by the presentation of the Neumann formula. See, for example, D. J. Griffiths, Introduction to Electrodynamics, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1999), Sec. 7.2.3J. R. Reitz and F. J. Milford, Foundations of Electromagnetic Theory (Addison-Wesley, Reading. MA, 1960), Sec. 9.4; W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, MA, 1955). Sec. 10-3.
13. Since the inner boundary of the region of integration will not be at constant r this form of the integral is not really justified, but the use to which it will be put in the subsequent steps involves only the outer boundary.