Abstract
Conduction current and displacement current Duhem introduces the notions of conduction and displacement current, asks the question of whether the total current is uniform in Maxwell theory, and addresses to what extent these notions agree with Maxwell’s third electrostatic theory.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
J. Clerk Maxwell , Scientific Papers , vol. I, p. 491.
- 2.
We have insisted [1st Part, Chap. 4] on the sign error that affects this equality.
- 3.
J. Clerk Maxwell, Scientific Papers , vol. I, p. 531.
- 4.
J. Clerk Maxwell , Treatise on Electricity and Magnetism , trad. française, t. I, p. 69 [62].
- 5.
J. Clerk Maxwell , Treatise on Electricity and Magnetism , trad. française, t. I, p. 73 [66].
- 6.
J. Clerk Maxwell , On Physical Lines of Force ( Scientific Papers , vol. I, p. 496).— A Dynamical Theory of the Electromagnetic Field ( Scientific Papers , vol. I, p. 554).— Treatise on Electricity and Magnetism , trad. française, t. II, p. 288 [232].
- 7.
J. Clerk Maxwell , Treatise on Electricity and Magnetism , trad. française, t. II, p. 288 [232–233].
- 8.
J. Clerk Maxwell , Scientific Papers , vol. I, p. 192.
- 9.
[in the sense of “closed circuit”].
- 10.
We will return to this demonstration in Chap. 7, Sect. 7.1.
- 11.
J. Clerk Maxwell, loc. cit. , p. 195.
- 12.
J. Clerk Maxwell , Scientific Papers , vol. I, p. 460.
- 13.
J. Clerk Maxwell, loc. cit. , vol. I, p. 462.
- 14.
J. Clerk Maxwell , loc. cit., equality (113), vol. I, p. 496.
- 15.
J. Clerk Maxwell , Scientific Papers , vol. I, p. 557.
- 16.
J. Clerk Maxwell, loc. cit. , p. 561, equality (H).
- 17.
J. Clerk Maxwell , loc. cit., vol. I, p. 582.
- 18.
J. Clerk Maxwell , Treatise on Electricity and Magnetism , trad. française, t. I, p. 506 [412], equality (2). It should be noted that this passage contradicts what gives Maxwell on p. 470 [380], where he seems to admit that any conduction current is uniform, in accordance with his old ideas.
- 19.
J. Clerk Maxwell , loc. cit., t. I, p. 510 [415], equality (5).
- 20.
- 21.
J. Clerk Maxwell , Treatise on Electricity and Magnetism , trad. française, t. 1, p. 506 [412], equality (1) and p. 510 [415], equality (4).
- 22.
J. Clerk Maxwell , On a Method of Making a Direct Comparison of Electrostatic with Electromagnetic Force: With a Note on the Electromagnetic Theory of Light , read at the Royal Society of London on 18 June 1868 (Philosophical Transactions, vol. CLVIII.— Scientific Papers , vol. II, p. 139).
- 23.
J. Clerk Maxwell , Treatise on Electricity and Magnetism , trad. française, t. I, p. 71 [63–64].
- 24.
J. Clerk Maxwell , Treatise on Electricity and Magnetism , trad. française, t. II, p. 488 [385].
- 25.
Gouy , Journal de Physique , 3\(^\text {o}\) série, t. V, p. 154, 1896.
- 26.
P. Duhem , Leçons sur l’Électricité et le Magnétisme , t. II, 1892.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Duhem, P.M.M. (2015). Conduction Current and Displacement Current. In: The Electric Theories of J. Clerk Maxwell. Boston Studies in the Philosophy and History of Science, vol 314. Springer, Cham. https://doi.org/10.1007/978-3-319-18515-6_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-18515-6_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18514-9
Online ISBN: 978-3-319-18515-6
eBook Packages: Humanities, Social Sciences and LawHistory (R0)