Electromagnetism is a researchElectromagnetic phenomenonLaw and application ofBranch of PhysicsDiscipline, originated in the 18th century.In a broad sense, electromagnetism can be said to include electricity and magnetism, but in a narrow sense, it is a discipline to explore the interaction between electricity and magnetism.Main researchelectromagnetic wave、electromagnetic fieldAnd the dynamics of charges and charged objects.
Electromagnetism studies the interaction between electricity, magnetism and the two, as well as their laws and applicationsBranch of PhysicsDiscipline.According to the viewpoint of modern physics, the phenomenon of magnetism is caused by moving charges, so it must contain the content of magnetism to varying degrees within the scope of electricity.Therefore, it is difficult to divide the contents of electromagnetism and electricity completely, and "electricity" is sometimes referred to as "electromagnetism".
Electromagnetism has developed from two independent sciences (electricity and magnetism) to a complete branch of physics, mainly based on two important experimental discoveries, namely, the magnetic effect of current and the changing magnetic fieldElectric effect。These two experimental phenomena, together with Maxwell's hypothesis about changing electric field to produce magnetic field, established the whole electromagnetismTheoretical systemAnd developed electrical and electronic technologies that have had a significant impact on modern civilization.
useammeterCan be measured directlyelectric current。But the disadvantage of this method is that the circuit must be cut off and the ammeter placed in the middle of the circuit.The current intensity can also be measured by indirectly measuring the magnetic field around the current tracing.The advantage is that there is no need to cut off the circuit.The instruments that use this method to measure current areHall effectSensorsCurrent clamp(current clamp)、converter(current transformer), Rogowski coil, etc.
The discovery of electrons combined electromagnetism with the theory of the structure of atoms and matterElectronic theoryThe macroscopic electromagnetic and optical properties of matter are attributed to the effect of electrons in atoms, which uniformly explains electricity, magnetismPhotophenomenon。
Electromagnetism is a branch of physics.Electricity andmagnetismThe field has a close relationship. In a broad sense, electromagnetism can be said to include electricity and magnetism, but in a narrow sense, it is a discipline to explore the interaction between electricity and magnetism.Main researchelectromagnetic wave、electromagnetic fieldAnd the dynamics of charges and charged objects.
physical phenomenon
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People have known for a long time thatElectric fish(electric fish) will send out electric shock.According to 2750 BCAncient EgyptBooks, these electric fish are called“the NileThe "Thunder Messenger" is the protector of all other fish.About 2500 years later, the Greeks, Romans, Arab naturalists andArab medicineOnly then did the record of generating electricity fish appear again.Ancient RomeThe doctor Scribonius Larges also suggested that patients with symptoms likegoutOr patients with headaches, go and touchTorpedo rayMaybe strong electric shock will cure their disease.[1]
Arabs may be the first group to understand the essence of lightning.They may also recognize other sources of electricity before other ethnic groups.As early as the 15th century, the Arabs created the Arabic word "raad" for "lightning" and used it to call the ray.
staymediterranean seaIn the ancient culture of the region, there have been written records for a long time that after rubbing the amber stick with cat hair, it will attract materials such as feathers.Around 600 BC,ancient GreekPhilosopher ofThales(Thales, from 640 to 546) made a series of observations on static electricity.From these observations, he believed that friction made amber magnetic.This is like oremagnetiteAre quite different in nature;Magnetite is naturally magnetic.Thales is not right.But then,Science SocietyVerify the close relationship between magnetism and electricity.[2]
In 1600, it was BritainElizabeth IGilbert, an English physician, published On Magnets, summarizing the experience of predecessors and recording a large number of experiments.Such as the "small earth" experiment.GalileoCall it“empiricismThe founder of ".
In 1720, the English priest Gray studied the phenomenon of electricity conduction.
In 1733, Du Fei distinguished two kinds of electricity——TurpentineElectricity and glass electricity.
In 1745,NetherlandsLeidencityLeiden UniversityProfessor Musschenbrock foundLeiden bottle, found a way to store the charge.The Leiden bottle is oneGlass bottles, respectively pasted inside and outside the bottleTinfoil。The tin foil in the bottle is connected with a metal rod through a metal chain, and the upper end of the rod is a metal ball.French Nolet invited France in front of a cathedral in ParisLouis XV The royal family members ofMonkHold hands in a line. The monk at the head of the line holds the Leiden bottle in his hand. When the Leiden bottle is charged, let the monk at the end of the line touch the lead of the Leiden bottle.Suddenly, seven hundred monks jumped up almost at the same time.The people present were dumbfounded.This shows the great power of electricity.
Physical development
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electromagnetic waveBecause of historical reasons (at the earliest time, magnetism was considered to be a phenomenon unrelated to electrical independence)magnetismIts own development and application, such as modern timesmagnetic material And the development of magnetic technology, newMagnetic effectandMagnetic phenomenonThe discovery and application of, etc., make the content of magnetism continuously expand, and magnetism is actually studied as a parallel discipline with electricity.
maxwellElectromagnetic theoryThe significance of this theory is not only that it dominates all macroeconomicsElectromagnetic phenomenon(including static electricity, stable magnetic field, electromagnetic induction, circuit, electromagnetic wave, etc.)Optical phenomenonUnification within this theoretical framework profoundly affects people's understandingMaterial worldThe idea of.
The disciplines closely related to electromagnetism areClassical electrodynamicsThere is no principle difference between the two in terms of research object and content.Generally speaking, electromagnetism focuses on classical electromagnetic phenomenaexperimental study The basic laws of electromagnetism are summarized from extensive research on electromagnetic phenomena, and finally Maxwell's equations (but notsystem study How to solve it);However, classical electrodynamics focuses on theory, which is based onMaxwell's equationsandLorentz force(logically equivalent toNewtonian mechanicsThree of Newton inLaw of motion)Based on the research of macrolow-energyElectromagnetic problems such as the distribution of electromagnetic field, the excitation, radiation and propagation of electromagnetic wave, and the interaction between charged particles and electromagnetic field at scale.
Various experimental conclusions of electromagnetics andelectrodynamicsThe relationship betweenKepler's three lawsAnd Newton's law of universal gravitation.From high school physics, althoughLaw of universal gravitationFrom Kepler YesCelestial motionThe three laws summarized from observation are derived simultaneously;And through the simultaneous law of universal gravitationNewton's law of motionWith various kinematic quantitiesDefinitional expressionWe can also reverse the three laws of Kepler's planetary motion (including theexpression)。However, for many planetary motion problems with specific known conditions, direct use of Kepler's three laws can often avoid a large number of tedious operations.
After Maxwell's Electromagnetic Theory was published, due to the difficulty in understanding the theory and no experimental verification, it was not paid attention to and generally recognized for a long time.In 1879,Berlin Academy The award-winning essay is set up to prove the following three assumptions: ① if displacement current exists, magnetic effect will be generated; ②The changing magnetic force must makeinsulatorMedia generationDisplacement current;③In air or vacuum, the above two assumptions are also true.This essay became the forerunner of Hertz's electromagnetic wave experiment.
In 1885, Hertz used awindingOfOscillating coilThrough experiment, it was found accidentally that when apulse currentWhen,Secondary windingBetween the slits at both endselectric sparkHertz immediately thought that this might be an electromagneticresonancePhenomenon.Since the primary coilOscillating currentCan arouseSecondary coilThen it can generate oscillating displacement current in the adjacent medium, and this displacement current will in turn affect the strength change of the spark in the secondary winding.
In 1886, Hertz designed a linear openoscillatorRing conductor C with clearance is used asa sensor, placed near the linear oscillator AB, when the pulse current is input to AB and sparks are generated in the gap, sparks are also generated in the gap C.In fact, this is the generation, propagation and reception of electromagnetic waves.
To prove the consistency of electromagnetic waves and light waves: Hertz measured the speed of electromagnetic waves in March 1888, and introduced the measurement method in the paper "On electromagnetic waves in the air and their reflection": Hertz formed by using electromagnetic wavesstanding waveDetermine two adjacentNodalDistance between(Half wavelength),RecombineVibratorCalculate the speed of the electromagnetic wave.He nailed a piece of lead on one wall of a large room to reflect electromagnetic waves to form standing waves.A tributary vibrator is used at a distance of 13 metersWave source。Use oneInduction coilAsChecker, moving forward and backward along the standing wave direction, the tester does not produce sparks at the wave node, and the sparks generated at the wave belly are the strongest.This method is used to measure the length between two wave nodes, so as to determine that the speed of electromagnetic waves is equal to the speed of light.In 1887, he also designed "Induction"Balancer”: In 1886, a metal plate D was placed on one side of the device, and then C was adjusted far so that there was no spark in the gap, and then the metal plate D was moved to the AB and C directions, and an electric spark appeared in the gap of C.This is because the oscillating current induced in D generates an additional electromagnetic field to act on C. When D approaches, the balance of C is destroyed.This experiment shows that the oscillator AB polarizes the nearby medium alternately to form a variable displacement current, which in turn affects theEquilibrium state。Spark C.When D approaches C, the balance state is broken again, and C sparks again.This proves the existence of "displacement current".
Hertz makes electromagnetic wave reflect at an angle of 45 ° with metal surface;Use metalConcave mirrorFocusing electromagnetic waves;The electromagnetic wave is polarized by a metal grid;And usingNon metallic materialsThe made big prism refracts electromagnetic waves, etc.To prove that MaxwellElectromagnetic theory of lightIs correct.So far MaxwellElectromagnetic field theoryWas recognized by people.For this reason, Maxwell is recognized as "the greatest mathematics in the world since Newtonphysical scientist”。So far byFaradayMaxwell established the electromagnetic field theory verified by Hertz and declared its victory to the world.
Magnetic effect
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For more than 200 years since Gilbert began, electricity and magnetism have been two unrelated subjectsElectricity and magnetismseeknatural phenomenaThe connection between them has become a trend.In 1820,OsterFoundMagnetic effect of current, followingThales2400 years later, the connection between electricity and magnetism was established.
"Dunmou embellishes mustard, magnet needle" explainsMagnetic phenomenon。At the beginning of the 17th century, Gilbert asserted that there was nocausal relationship;CoulombThey also hold the same view.But: In 1731, a box of new knives of an English businessman was magnetized after lightning;Both electric power and magnetic force comply withInverse square law, indicating that they have similar laws.In 1751, Franklin found that the sewing needle was magnetized after being discharged by the Leiden bottle.In 1774, a German research institute hung a prize to ask for a solution. The title was: "Is there any real and physicalSimilarity?”
Auster (1777-1851), Danish, foundCurrent magnetic effectFirst person of.In his doctoral thesis "On the Basic Metaphysical Categories of External Nature" in 1799, he expoundedKantian philosophyThe guiding role of thought in science is deeply reflected in Kant's“Fundamental force”The influence of ideas that can be transformed into other forms of force. In 1803, when traveling to Germany, I met a young German chemist who believed in the interrelationship between chemical phenomena, current and magnetismRitter, also participated in some experiments carried out by Ritter to find this connection.All these laid the foundation for Oster to discover the current magnetic effect.
(1) In 1803, he said: "People's physics will no longer be a scattered list of motion, heat, air, light, electricity, magnetism and any other phenomena that people know. People will put the whole universe into a system." He believed that“natural forceUnification ".
(2) In 1812, he published Research on the Identity of Chemical Force and Electric Power, which showed that he had applied the unified thought of natural force to the research of physics and chemistry.From the phenomenon that the wire will generate heat when the current flows through the wire with smaller diameter, he speculated that if the diameter of the wire is smaller, it may emit light, and if the diameter continues to decrease, it will produce magnetism.It also pointed out that "people should test whether electricity is the most hidden way tomagnetHas an impact. "
(3) However, he believed that the effect of current on the magnet was longitudinal (i.e. along the direction of current), so his guess has not been realized.He put a wire in front of the electrified wiremagnetic needle, trying to attract the magnetic needle with an energized wire.However, the wire was hot, even red, and the magnetic needle did not move.But Oster believes that electricity and magnetism have some connection, just like Dina andfeverThe phenomenon of luminescence is the same.
(4) From the winter of 1819 to April of 1820, Auster was teaching students "ElectricityGalvanic currentandmagnetism”He considered:Magnetic effectIs it a lateral (transverse) action to scatter around like the heat and light generated when the current passes through the wire?In a lecture, he tried to place the magnetic needle on the side of the wire.When heturn on electricityI found that the magnetic needle shook slightly!It was this slight shaking that made Auster immediately realize that what he had been striving for for years was coming true.After repeated experiments, Oster found out that the current had a magnetic effect.On July 21, 1820, he published Experiments on the Effect of Electric Current on Magnetic Needle, which caused a sensation in the academic world.
(5) Electrical conflict andhelical lineOster called this effect occurring in the space around the conductor "electric conflict" and pointed out that "this conflict appears as a circle, otherwise it is impossible to explain this phenomenon: when the magnetic pole is placed below the wire, the magnetic pole is pushed to the east; when the magnetic pole is placed above the wire, the magnetic pole is pushed to the west. The reason is that only a circle has such a property,
The movement of the opposite part has opposite direction.In addition, the circular motion that moves continuously along the length direction of the conductor must be formedCochlear lineOr spiral. "
(6) Rotating force and central force: Oster's discovery andNewtonian mechanicsThe basic principles of are contradictory.In Newtonian mechanics, the force in nature can only be the attraction or repulsion force acting on the connecting line of the object, that is, the "central force" of the direct push-pull nature.What Oster found was a kind of "rotating force".What he called "spiral" is actually about magnetismTransverse effectOr the visual description of eddy current magnetic field caused by current.It is the beginning of the thought of "field".
Physical theory
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physical analogy
In 1855, he published "OnFaradayForce line》He made a mathematical description of Faraday's force line from a geometric point of view.He wrote in the article: "If people draw a line from any point, and when people walk along this line, the direction of any point on the line always coincides with the direction of the force at that point, then this curve represents the direction of the resultant force of the points he passes through, and in this sense it is called a force line. In the same way, people can draw other force lines.Until the curve fills the entire space to indicate the direction of any specified point. "So, the force linetangentThe direction isElectric field forceThe density of the force line represents the magnitude of the electric field force.
Maxwell regarded the force line as incompressible fluid by analogystreamline。So he put the force lineForce tubeEquivalencyfluid mechanicsCompare the theories ofnegative chargeAs the source and sink of fluid,power lineComparisonsFlow tube,electric field intensityCompared with velocity, a new vector function is introduced to describe the electromagnetic field.It can be said that the physics of Faraday was translated into mathematics.In this article, Maxwell derived theMagnetic line of forceThe relationship between and magnetic force represents some information describing current and magnetic force linephysical quantityBetweenQuantitative relationshipVector ofdifferential equation , and currentForceandLaw of electromagnetic inductionQuantitative formula of.When Faraday saw Maxwell's article, he exclaimed, "I was surprised to see that this topic was handled so well!"
In 1860, Faraday, who was 70 years old, met Maxwell, a young man of 30 years old. The common aspiration to establish electromagnetic theory transcended the gap of age. Faraday said to Maxwell, "You should not stop explaining my point of view with mathematics, but break through it."
Ether vortex model
In 1862, Maxwell published his second paper on electromagnetism《On physical force lines》。Maxwell introduced amediumThe theory of the electromagnetic ether model is proposed to show the relationship between electrical and magnetic quantities.suchmodel theory The medium filled with space has the property of rotation under the action of magnetism, that is, many molecules are arrangedvortex, they are formed on the axis of magnetic lines of forceVortex tube, vortex tube rotatingangular velocityProportionaltomagnetic field intensityH,The density of vortex medium is proportional to the mediumPermeabilityμ。The centrifugal effect of vortex tube rotation makes the tube expand laterally and contract longitudinally.
The centrifugal effect of vortex tube rotation makes the tube expand laterally and contract longitudinally.Therefore, the magnetic line of force in the longitudinal performance of tension, that is, the attraction of the opposite magnetic pole;In the transverse direction, it is the pressure, that is, the repulsion of the same magnetic pole.
Ether vortex model
Due to mutualTight connectionThe surface of the vortex tube is moving in the opposite direction. In order not to interfere with each other's movement, Maxwell envisions a layer of inert orBall bearingSmall particles that act.They are far more than vortexdimensionSmall, negligible qualitycharged particle。The role of particles and vortices isTangential directionOf.Particles can roll, but not slide;In uniformConstant magnetic fieldThat is, when the rotating speed of each vortex tube is the same, these particles only rotate around their own axis, but when the rotating speed of the vortex tubes on both sides is different, the center of the particles will vortex on both sidesMarginal movementThe difference of the situation.For nonUniform magnetic fieldThat is, the strength of the magnetic force varies with the position, so the rotating speed of the vortex tube is also different, and the particles between the vortex tubes move.according toVortex theory, unit time passing unit areaNumber of particlesThat is, the flow j of vortex and the tangent speed H of vortex tube rotationcurlIs proportional, that is, where j corresponds to the current, H corresponds to the magnetic field, and this equation is theEquation of motion。It shows that the movement of the electric particles must be accompanied by the movement of the magnetic vortex of the molecule, which is the analogy mechanism of the magnetic field lines generated by the current.For the case that the magnetic field changes with time, the energy change of vortex motion (due to the change of H) must be subject to the force from the tangential motion of the particle layer, and this force E satisfies the relationship: where?H/? T is the change rate of vortex velocity, E is the force acting on the particle layer, corresponding to the induced electromotive force at this point.It explainsMagnetic mediumThe unstable magnetic vortex motion in theInduced electromotive forceTo generate current.This formula is thekinetic equation。
Displacement current
Proposition of "displacement current": in the third part of the paper, Maxwell extended the vortex model toElectrostatic phenomenon。Since H=0, the medium is composed of elastic static vortex tube and particle layer.When the medium is in an electric field, the particle layer will be displaced by the action of electric force E, and the vortex tube will be deformed by a tangential force.The deformed vortex tube exerts an equal and opposite force on the particle layer due to the internal elastic tensionBalance of two forcesWhen the particle is inQuiescent state。At this timeElectric field energyChange intoElastic potential energy。
aboutInsulating mediumMaxwell further assumed that the particles of the insulating medium affected by electricity would be in a polarized state. Although the particles could not move freely, the impact of electricity on the whole medium was one of the factors that caused electricity in a certain directionTotal displacementD。When the electric field changes, the total displacement D of the particles also changes, thus forming a current in the positive and negative directions.This means that,Electric displacementOn timewechat Business?D/? T must also have the same effect as current.This is it.Maxwell theoryThe important "displacement current" assumption in.
Max Welley used the electromagnetic ether he constructedmechanical model 。It not only explains the application properties of Faraday magnetic lines of force, but also establishes the relations between all the main electromagnetic phenomena;However, Maxwell clearly recognized the temporality of the above model, and he only regarded it as a "mechanically conceivable and easy to study model suitable for revealing the true mechanical connection between known electromagnetic phenomena".So in his 1864-1865 paper "Dynamic Theory of Electromagnetic Field", he completely abandoned this model, removed the hypothesis about the medium structure, and only based on a few basic experimental factsfield theoryThe point of view has reconstructed its own theory.
He said, "The theory I put forward can be called electromagnetic field theory, because it must involveCharged bodyandMagnetic materialSurrounding space;It can also be called dynamic theory, because it assumes that there are moving substances in the space, which produces the electromagnetic phenomenon observed by people. ""Electromagnetic field is the space around objects in electromagnetic state, including these objects themselves: there can be only some kind of substance in the field, or there can betake a percentageSpace without macroscopic matter, likeGeisslerTube or other conditions called vacuum.Maxwell assumed that although there is no "macro matter" in vacuum, there is ether medium.This etheric medium fills the whole space, penetrates the interior of the object, and hasenergy density And can propagate at a limited speedElectromagnetic action。
Electromagnetic equations
maxwell
In 1873, Maxwell published General Theory of Electromagnetism. He not only developed Faraday's thought with mathematical theory, but also creatively established a complete system of electromagnetic field theory.In this book, his thoughts have been developed more perfectly and stated more systematically.He integrated the previous electromagnetic theory into a groupequationThe mathematical equations of electromagnetic field Maxwell electromagnetic equations are obtained.In a terseMathematical structureThe perfect symmetry of electric field and magnetic field is revealed.General Theory of Electromagnetism is the first book aboutClassical field theoryThe immortal work of.Initially, in the book "General Theory of Electromagnetism", Maxwell listed a total of 20 component equations. If vector equations were used, there would be only 8.Later, it was simplified into four.Around 1890, German physicist Hertz and British physicistheaviside The Maxwell equations were simplified twice again, and then the generalDifferential form。
Prediction of electromagnetic waves
An important result of Maxwell's equations is to predict the existence of electromagnetic waves.Maxwell derived from the equations by calculationfree spaceMedium electric field strength E andMagnetic inductionB'swave equation It means that electrical or magnetic disturbances will propagate at the speed of c.And introduced thepropagation velocityIs: 3107400 km/s, where ε isDielectric constant, μ is the permeability.
Light waves are electromagnetic waves
Maxwell found that this value was very close to the light speed of 315000 km/s measured by Fizeau in 1849.He thought it was not a coincidence, but because the essence of light was the same as electromagnetic waves, he proposedElectromagnetic theory of light。It shows that "light itself is an electromagnetic vibration that propagates in the form of waves in the electromagnetic field according to the electromagnetic law".Thus, the theory of electricity, magnetism and light has been greatly integrated.
Maxwell said, "Putmathematical analysis The physical knowledge obtained by combining with experimental research is more solid, beneficial and consolidated than the knowledge that a simple experimenter or a simple mathematician can have ".
The support of Michelson Morey experiment in the early 20th centuryConstant speed of lightThe constant speed of light has also become Einstein'sSpecial relativityThe cornerstone of.Instead, Lorentz transformation becomes more precise inertia than Galileo transformationcoordinate transformation Mode.
Electrostatic forceWork: W=qU, U is the potential difference of the electric field at the beginning and end of the charge movement, and q is the electric quantity of the charge.
Current I (A) I=I1+I2+Trunk roadThe current is equal to the sum of branch currents (shunt)
Voltage U (V) U=U1=U2=
Resistance 1/R (Ω)=1/Rone+1/Rtwo
Founders
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Maxwell was a great British physicist in the 19th century and the founder of classical electrodynamics,Statistical PhysicsOne of the founders of.
Maxwell was born on June 13, 1831Edinburgh。Entered at the age of 16University of Edinburgh, transferred to Cambridge University to study mathematics three years later, graduated in 1854 and stayed at the university to teach, and arrived two years laterScotlandMarishar Collegenatural philosophyProfessor, 1860 toKing's College LondonTeaching, appointed in 1871 for preparationUniversity of CambridgeCavendish Lab, and served as the first director.He died in Cambridge on November 5, 1879.
ElectromagnetismelectrodynamicsOr classical electrodynamics.It is called classic because it does not include modernQuantum electrodynamicsContent of.The term electrodynamics is not strictly used. Sometimes it is also used to refer to the removal ofElectrostatics、MagnetostaticsThe rest refers to the combination of electromagnetism and mechanics.This part deals withelectromagnetic fieldyescharged particleThe mechanical effect of.
Chronology
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time
Major events
Discoverer
7th century BC
Find magnet
Pipe (China), Thales (Thales, Ancient Greece)
Second century BC
Electrostatic attraction
The early years of the Western Han Dynasty are unknown
1600
Geomagnetism discusses magnetism and introduces "electric"
William Gilbert
Her Majesty
1745
Leiden bottle, prototype of capacitor, storing electricity
Pieter van musschenbrock
Ewald Georg Von Kleit (Klest, Germany)
1747
Law of conservation of charge
(Introduction of positive and negative electricity)
Benjamim Franktin
(Franklin, USA)
1754
Lightning arrester
(Practical application of electricity)
Procopius Dirisch
(Divesh)
1785
Coulomb's law
Electromagnetism enters the scientific ranks
Charles Auguste de Coulom
(Coulomb, France)
1799
Invention of battery
Provide current for a long time
Alessandro Graf Volta
(Volta, Italy)
1820
Magnetic effect of current
(Electricity generates magnetism)
Ampere molecular current theory
Biot Savart law
Hans Chanstian Oersted (Austin Denmark)
Andre Marie Ampere (Ampere, France)
Jean Baptute Biot, Felix Savart (Biot, Savart)
1826
Ohm's law
Georg Simon ohm
1831
Electromagnetic induction phenomenon
(Magnetism generates electricity)
Michael Faraday
(Faraday, UK)
1834
Lenz's law
lenz
1865
Maxwell's equations
Established the electromagnetic theory,
Predicted the electromagnetic wave
Maxwell
1888
Experiments confirm the existence of electromagnetic waves