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SOME HISTORICAL INFORMATION ABOUT ELECTROMAGNETISM 1747 - Benjamin Franklin proposes the principle of conservation of charge and calls the fluid that exists and flows ``positive''. (It is actually negative i.e. electrons, and this is why the direction of current flow in circuits is opposite to the direction which the electrons move.) 1750 - John Michell (the inventor of black holes) discovers that the force law for individual charges is inverse square. 1766 - Joseph Priestly, acting on a suggestion in a letter from Benjamin Franklin, shows that hollow charged vessels contain no charge on the inside and based on his knowledge that hollow shells of mass have no gravity inside (shell theorem) correctly deduces that the electric force law is inverse square. ca 1775 - Henry Cavendish invents the idea of capacitance and resistance. But being indifferent to fame he is content to wait for his work to be published by Lord Kelvin in 1879. 1785 - Charles Augustin Coulomb uses a torsion balance to verify that the electric force law is inverse square. In his honor we call the law of the electric force Coulomb’s law. 1793 - Alessandro Volta makes the first batteries and argues that animal electricity is just ordinary electricity flowing through the frog legs under the impetus of the force produced by the contact of dissimilar metals. 1812 - Simeon Denis Poisson develops a theory of electricity. He shows that the charge on conductors must reside on their surfaces and be so distributed that the electric force within the conductor vanishes. ca. 1813 - Laplace shows that at the surface of a conductor the electric force is perpendicular to the surface. 1813 - Karl Friedrich Gauss rediscovers what will later become known as Gauss's law. (Lagrange actually did it first!) 1820 - Hans Christian Oersted discovers that electric current in a wire causes a compass needle to orient itself perpendicular to the wire. 1820 - Andre Marie Ampere, one week after hearing of Oersted's discovery, shows that like parallel currents attract each other and that opposite parallel currents repel. 1820 - Jean-Baptiste Biot and Felix Savart show that the magnetic force exerted on a magnetic pole by a wire falls off like 1/r2 and is oriented perpendicular to the wire. 1825 - Ampere publishes his collected results on magnetism. 1831 - Faraday shows that changing currents in one circuit induce currents in a neighboring circuit (Faraday’s law of electromagnetic induction). Over the next several years this selftaught genius performs hundreds of experiments and shows that they can all be explained by the idea of changing magnetic flux. No mathematics is involved, just picture thinking using his fieldlines. 1834 - Faraday discovers self inductance. Around this time he also describes in his papers the first dynamo (electric generator). Faraday was also the inventor of the first electric motor, which was DC. 1834 - Emil Lenz formulates his rule for determining the direction of Faraday's induced currents. In its original form it was a force law rather than an induced emf law: ``Induced currents flow in such a direction as to produce magnetic forces that try to keep the magnetic flux the same.'' So Lenz would predict that if you try to push a conductor into a strong magnetic field, it will be repelled. He would also predict that if you try to pull a conductor out of a strong magnetic field that the magnetic forces on the induced currents will oppose the pull. 1837 - Faraday discovers the idea of the dielectric constant. 1839 - James MacCullagh invents an elastic aether in which there are no longitudinal waves. In this aether the potential energy of deformation depends only on the rotation of the volume elements and not on their compression or general distortion. This theory is essentially Maxwell's theory, although history, unlike Maxwell, has not credited MacCullagh with this fact. 1841 - James Prescott Joule shows that energy is conserved in electrical circuits involving current flow, thermal heating, and chemical transformations 1842 - Julius Robert Mayer asserts that heat and work are equivalent. His paper is rejected by Annalen der Physik. 1848-9 - Gustav Kirchoff extends Ohm's work to conduction in three dimensions, gives his laws for circuit networks. 1850 - William Thomson (Lord Kelvin) invents the idea of magnetic permeability and susceptibility. 1853 - Thomson uses Poisson's magnetic theory to derive the correct formula for magnetic energy. 1853 - Thomson gives the theory of the RLC circuit . 1864 James Clerk Maxwell publishes his paper, A Dynamical Theory of the Electromagnetic Field, in which a variant of the Lorentz Force law appears as one of Maxwell's equations. In this paper the equation was essentially written as follows: F = qE + q v x B . 1866 – Heinrich Rudolf Hertz first conclusively established the existence of electromagnetic waves theorized by the electromagnetic theory of light. 1873 – James Clerk Maxwell publishes his Treatise on Electricity and Magnetism, which discusses everything known at the time about electromagnetism from the viewpoint of Faraday. His own theory is not very thoroughly discussed, but he does introduce his electromagnetic stress tensor in this work, including the accompanying idea of electromagnetic momentum. 1892 - Hendrik Anton Lorentz presents his electron theory of electrified matter and the aether. This theory combines Maxwell's equations with the Lorentz force law for the acceleration of charged particles. But Lorentz's theory has a ``stationary aether'', which conflicts with the negative Michelson-Morley result. 1892 - George FitzGerald proposes length contraction as a way to reconcile Lorentz's theory and the null results on the motion of the earth through the aether. His ideas are ridiculed by some of his colleagues in Dublin. At the end of this year Lorentz endorses this idea. 1892 – Nikola Tesla creates a basic design for the radio. 1895 - Lorentz, in his ``Search for a theory of electrical and optical effects in moving bodies'' gives the Lorentz transformation to first order in v/c. The transformed time variable he calls ``local time''. 1900 - Joseph Larmor obtains the second order corrections to the Lorentz Transformation. 1903 - Lorentz gives the famous square root formulas for the Lorentz transformation giving the effect to all orders in v/c. 1904- Henri Poincare publishes his paper “The present state and future of mathematical physics” (Bull.Sci. Math, 28, 302-23), in which the main conceptual aspects of our modern theory of relativity, including the ideas of increase in its mass with the speed of an object, time dilation and length contraction are put forth. 1905 - Poincare publishes his revolutionary works on relativity: 1) "Sur la dynamique de l'électron (On the Dynamics of the Electron)" (5 June 1905 in C.R Acad. Sci. Paris 140, 1504-1508) followed by 2) a larger detailed exposition submitted on 23 July 1905 and published in 1906 in Rendiconti del Circolo matematico di Palermo, 21: 129–176, 1906. Almost all major equations of special relativity (relativistic momentum and energy, Lorentz transformations, relativistic transformation of force law) are contained in these papers. The scale extended Poincare group (11 dimensional Weyl group) is introduced in the Rendiconti paper. 1905 - Albert Einstein completes the work of Lorentz and Poincare on modern relativity with the publication of his famous paper in Annalen der Physik (30 June, 1905).