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Jan 2, 2018 at 21:23 comment added Geremia @Joe Correction: Ampère wrote the most general form and used his experiments to determine $n=2$, $k=−1/2$, and $h=−3/2$ (cf. Assis & Chaib 2015 p. 27 // PDF p. 30).
Jan 2, 2018 at 15:40 comment added Joe According to Ampere, $n=2$ and not $\frac{1}{2}$
Jan 2, 2018 at 15:32 comment added Joe However if the source circuit is closed, all force laws are same and then Grassmann force law can be derived from that of Ampere.
Jan 2, 2018 at 15:31 comment added Joe You are mistaken a bit here. Ampere ASSUMES the force is along the line joining the elements. Ampere force law is not "general" (by general I mean an equation satisfying all force laws). Since it is not general, the force law of Grassmann (between two current elements) cannot be derived from that of Ampere. However general force law equation not only derives Ampere and Grassmann force laws but also shows all other valid force laws (compatible with closed circuits).
Jan 2, 2018 at 12:46 comment added Joe Your answer is good and indeed correct. However I am asking about general force law and not Ampere's force law. Ampere's for law is a special case of general force law
Dec 30, 2017 at 20:13 history edited Geremia CC BY-SA 3.0
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Dec 30, 2017 at 20:07 history answered Geremia CC BY-SA 3.0