On the Measurement of Electro-dynamic Forces

Description

Electrodynamische Maassbestimmungen Annalen der Physik und Chemie , vol. 73, no. 2, pages 193-240 (January 1848). (Often referred to as “Poggendorff’s Annalen ”.) Leipzig: J. A. Barth.

It may be accessed in facsimile PDF pages on the web at http://gallica.bnf.fr/ark:/12148/bpt6k15158z.

Richard Taylor, editor [and translator?]. Scientific Memoirs, selected from the Transactions of Foreign Academies of Science and Learned Societies. Volume V, part 20, article 14. London: Taylor and Francis, 1852.

In this paper he starts with Coulomb's and Ampère's laws to derive the Weber force law (spec. pp. 34-43). This is the short paper published two years after his main series of Elektrodynamische Maassbestimmungen ; this short paper also contains the potential from which Weber's force can be derived (I think @ at the end, p. 43).

Assis '94:

The mathematical procedure followed by Weber in order to derive (3.3) [Weber's force law] from (3.2) [Ampère's law] and (3.1) [Coulomb's law] can also be found in (Maxwell, 1954, Vol. 2, Chapter 23, Arts. [846 - 851], pp. 480 - 483); (Whittaker, 1973, Vol. 1, pp. 201 - 203).

Excellent historical background to this work is given in ch. 7 (cf. §1.3 & §9.3) of Second Physicist by Jungnickel & McCormmach