Abstract
André Marie Ampère (1775–1836) was born in Lyon, France. He was home-schooled by his father, a merchant who directed his education and was guillotined in 1793 during the Jacobin purges of the French revolution. Ampère taught himself latin and mathematics at an early age in order to understand the scientific and mathematical writings of Euler and Bernoulli. He began his academic career as a mathematics teacher in 1799. He was appointed professor of physics and chemistry in 1802 at the École Centrale at Bourg, professor of analysis in 1809 at the École Polytechnique in Paris, and chair of experimental physics at the Collège de France in 1824. Like many other prominent figures of the French enlightenment, Ampère’s academic interests were quite broad, including astronomy, chemistry, mathematics and philosophy. Inspired by Oersted’s recent discovery of the effect of an electric current on a magnetized compass needle, Ampère performed a number of careful experiments on the relationship between electricity and magnetism; the mathematical formulation of his results came to be known as Ampère’s law. The text that follows is comprised of two extracts. The first is from a paper entitled “Experiments on the New Electrodynamical Phenomena,” In it, Ampère introduces some new terminology. The second is from a memoir presented before the Academy of Sciences on October 2, 1820. It describes his experiments on the force acting between two parallel electrical currents.
The attractions and repulsions which occur between two parallel currents, according as they are directed in the same sense or in opposite senses, are facts given by an experiment which is easy to repeat.
—André Marie Ampère
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- 1.
See Chap. 7 of the present volume.
- 2.
Annales de Chimie et de Physique, Series ii, Vol. 20, p. 60, 1822.
- 3.
Annales de Chimie et de Physique, Series ii, Vol. 15, p. 59, 1820.
- 4.
See Chap. 3 of the present volume.
- 5.
A relatively simple current balance (Model CP23530-50) is available from Sargent Welch, Chicago, IL. In addition to the balance itself, you will need a laser pointer (Model WL3677P-10), a DC power supply capable of delivering 10–20 A of current (Model WLS30972-70), a multimeter for measuring currents (Model WLS30712-53), a rheostat for regulating the electrical current (Air-Cooled Laboratory Rheostat, Model CP32179-10) and some 14AWG solid core hook-up wire with spade connectors for assembling the required circuit (available from Digi-Key Corporation, Thief River Falls, MN).
- 6.
See laboratory Ex. 8.1.
- 7.
Inspired by the work of Oersted, Michael Faraday suggested the existence of magnetic fields; see Chap. 28 of the present volume.
- 8.
The question of whether one object can, in fact, exert a force on another object “immediately”, so to speak, across empty space will be explored in more detail when we come to James Clerk Maxwell’s discussion of action-at-a-distance and mediated action; see Chap. 30 of the present volume.
- 9.
This will be formulated more precisely using the methods of vector algebra—specifically the cross-product—in Appendix A; see Ex. A.4.
- 10.
The torque acting on an object is the product of a force and a lever arm; see, for example Ex. 6.5 in Chap. 6 of volume II.
- 11.
The direction of the magnetic field produced by each line segment is given by the right-hand rule, as mentioned previously in Ex. 7.4; see also the discussion of vector addition in Ex. A.2 of the present volume.
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Kuehn, K. (2016). Electric Currents, Magnetic Forces. In: A Student's Guide Through the Great Physics Texts. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-21816-8_8
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DOI: https://doi.org/10.1007/978-3-319-21816-8_8
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