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By Michael Faraday.

Online text: knowledge.electrochem.org/estir/hist/hist-06-Faraday-7.pdf

Cited passages: Michael Faraday, Experimental Researches in Electricity, Seventh Series (1834), §783 and §§789–791, printed pp. 101–103.

Cited passages: Faraday, Experimental Researches in Electricity, Seventh Series, §§662–667.

The Faraday effect is magnetic field-induced circular birefringence: opposite circular polarizations acquire different wave phases, rotating transmitted linear polarization. For a transparent medium with isotropy before applying the magnetic field, in the linear magnetic-response regime at fixed vacuum wavelength ${\lambda }_0$ and temperature $T$,Here $V$ is the Verdet constant, $L$ is the material path length, and $B_{\parallel }$ is the applied magnetic flux density component along the ray. This $\mathbf{B}$ is the external bias, distinct from the oscillating magnetic field of the light itself. Michael Faraday discovered the effect in 1845.^[ref]

Fix the sign before using the formula. On the forward path choose a right-handed Cartesian coordinate system, propagation along $+z$, and measure $\theta$ from $+x$ toward $+y$ for the electric field's oscillation line. Positive $\theta$ is counterclockwise in the $x$-right, $y$-up end view seen from $z>0$, looking toward the source. Then $B_{\parallel }=B_z$ and positive $V$ means positive rotation for positive $B_z$. This convention differs from the clockwise-positive convention in optical rotation. A linear polarization line is unchanged by $180^{\circ }$; a measured orientation determines accumulated rotation only modulo $\pi$, unless continuity selects a branch.

For uniform $B_{\parallel }$, the formula reduces to $\theta =VBL$. Its appeal is that a weak change of refractive index becomes a visible change of orientation. Magnetic reversal measurement of Faraday rotation turns this into an inference of $V$ or of the magnetic field path integral. Faraday rotation on a round trip explains the directional behavior used by an optical isolator. In an astronomical cold plasma, the high-frequency limit instead leads to the rotation measure law $\theta =\mathrm{RM}{\lambda }_0^2$; that wavelength dependence is not a universal law for transparent solids.

Michael Faraday's induction ring separates two questions: can one electrical circuit affect another without an electrical connection, and does that effect continue under steady conditions? The surviving apparatus uses insulated copper windings around an iron ring; the Royal Institution dates the successful experiment to 29 August 1831.^[ref]

Faraday connected one winding group to a battery, the other to a galvanometer. Making battery contact deflected the needle; maintaining contact let it return to rest; breaking contact reversed the response. Reversing the battery reversed the deflections. His separate cylinder comparison enhanced induction with iron, whereas replacing it with copper gave no enhancement over the windings alone.^[ref]

The contrast between a switching response and a quiet steady state makes mutual induction tangible. A steady primary electric current can maintain magnetic flux without sustaining a secondary electromotive force. Changes in magnetic flux linkage matter, as expressed by Faraday's law of induction. This is why a driven electrical transformer uses repeated changes in magnetic flux to supply secondary power.

The galvanometer readout of an induction pulse also separates the measured motion from the inferred electric current. Its moment of inertia and damping mean that a deflection is not an instantaneous trace of electric current. The following coupled RL induction model calculates currents in a stipulated circuit, rather than fitting Faraday's needle motion or reconstructing his switching times.

Michael Faraday's 1845 experiment combined solid carbon dioxide, diethyl ether and reduced pressure. Removal of vapour cooled the bath further. He reported a low alcohol-thermometer indication near $-166{}^{\circ }\mathrm{F}$, while explicitly discussing lag and uncertainty in the graduation at low temperature.^[ref]

In 1833 Michael Faraday compared electrical effects from different sources and then their quantitative delivery. His galvanometer test discharged a machine-charged jar battery through a wet thread and the detector, connecting frictionally produced charge to magnetic action.^[ref]

A nanoscale gold particle whose optical, surface and colloidal behavior depends on size, shape and surface chemistry.

A chemist whose route into experimental research began with a bookbinding apprenticeship (1805–1812). He became a laboratory assistant at the Royal Institution in 1813, its laboratory director in 1825, and Fullerian Professor of chemistry from 1833 to 1867.^[ref]

Frictional electricity and voltaic electricity name different methods of producing electrical effects. Their identity is supported by showing common kinds of response and quantitative continuity between them, rather than merely observing that both can give a sensation.

Charges from either source show the same attraction and repulsion, can charge a conductor or capacitor, and can discharge through a circuit. A current from either source can generate a magnetic field, produce resistive heating, and cause appropriate electrolysis. Reversing the sign or current direction reverses the corresponding directional effects. Different observed strengths need not imply different electrical substances.

Michael Faraday carried out a comparison of common and voltaic electricity. In a specific magnetic test, he discharged a machine-charged jar battery through a galvanometer, using a wet thread in the discharge path; the needle's deflection connected ordinary static charge with a current's magnetic action. He also compared common and voltaic electricity quantitatively.^[ref]

The modern distinction is mainly in the source characteristics. A friction machine commonly supplies a small charge at high electric potential difference, while a chemical cell can sustain a much larger continuing electric current at a lower voltage. An insulating gap or a poorly conducting path can therefore affect the demonstrations differently. Once charge passes through a specified circuit, its electric and magnetic action is not determined by whether mechanical rubbing or a chemical reaction originally supplied the energy.

For a specified electrode reaction with controlled current efficiency, Faraday's laws of electrolysis express the quantitative relationHere $M$ is the product's molar mass, $z$ the electrons per reaction unit and $F$ the Faraday constant. Equal transferred charges give equal reaction equivalents under those conditions. Charge, voltage and current must be distinguished: equal voltages alone do not imply equal delivered quantities of electricity.

Michael Faraday established new electrical phenomena through carefully varied experiments and made the field a central explanatory concept. His achievements were not confined to a single apparatus or to applications later expressed in equations by other researchers.

In 1821 he demonstrated continuous electromagnetic rotation: a current-carrying conductor could move around a magnet, or a magnet around a conductor, with the current maintained through an appropriate contact. The circular motion was difficult to reduce to an ordinary static attraction along a line and provided an experimental route toward electric-motor action.

In 1831 his induction experiments linked changing magnetic conditions to an induced electrical response. In the ring-coil arrangement, switching current in one winding produced a transient deflection in the other winding rather than a persistent response to a steady current. Moving a magnet relative to a coil produced a related effect. Comparing these arrangements helped identify change of magnetic linkage, rather than mere proximity to a magnet, as the essential feature. His rotating-disc generator showed a further way to obtain electrical output from mechanical motion.^[ref]

His electrolysis studies established quantitative relationships between charge transferred and material deposited or liberated. These supported a connection between chemical change and definite electrical quantities, even though they did not yet amount to a modern atomic theory of charge. His work on dielectrics and electrostatic shielding examined how materials and conducting boundaries influence electrical effects.

In 1845 he observed magnetic rotation of the plane of polarization in a material and investigated diamagnetism. The magneto-optical effect gave experimental evidence for a connection between light and magnetism, while diamagnetism showed a response opposite to ordinary magnetic attraction. Those findings broadened electromagnetism beyond currents and permanent magnets.^[ref]

Faraday's lines of force emphasized processes in the intervening region rather than only direct action at a distance. James Clerk Maxwell subsequently converted crucial parts of that field conception into a mathematical electromagnetic theory. Calling Faraday merely an unmathematical precursor would miss the explanatory and experimental content of his field ideas; crediting him with Maxwell's completed equations would be equally inaccurate. His legacy combines new effects, reproducible experimental techniques, quantitative electrochemistry and a fertile physical picture of fields.

A primary experimental exposition by Michael Faraday. Inspected text: en.wikisource.org/wiki/The_Chemical_History_of_a_Candle. Relevant locators are Lecture I, wick, melting reservoir and capillary attraction; Lecture II, luminous particles; Lectures III–V, combustion products. The inspected transcription identifies a 1908 new impression; this is distinguished from the original 1861 publication.