143-531: The Ungerer Tramway was the first electrical tramway in Munich , built in 1886 by engineer and owner of the Ungerer Bath, August Ungerer. It was designed to connect the bath with the 750 m distant stop of the horse powered tramway. The 1.2 km long Ungerer Tramway existed from 1 July 1886 to June 1895, when it was adjusted because of the extension of the horse tramway to the north cemetery . The current supply
286-455: A conductor 's surface, since otherwise there would be a force along the surface of the conductor that would move the charge carriers to even the potential across the surface. The electric field was formally defined as the force exerted per unit charge, but the concept of potential allows for a more useful and equivalent definition: the electric field is the local gradient of the electric potential. Usually expressed in volts per metre,
429-461: A force on each other, an effect that was known, though not understood, in antiquity. A lightweight ball suspended by a fine thread can be charged by touching it with a glass rod that has itself been charged by rubbing with a cloth. If a similar ball is charged by the same glass rod, it is found to repel the first: the charge acts to force the two balls apart. Two balls that are charged with a rubbed amber rod also repel each other. However, if one ball
572-405: A priestly role . He could not marry a woman from a senatorial family, nor achieve legitimate senatorial rank himself, but during the early Empire, freedmen held key positions in the government bureaucracy, so much so that Hadrian limited their participation by law. The rise of successful freedmen—through political influence or wealth—is a characteristic of early Imperial society. The prosperity of
715-409: A steady state current, but instead blocks it. The inductor is a conductor, usually a coil of wire, that stores energy in a magnetic field in response to the current through it. When the current changes, the magnetic field does too, inducing a voltage between the ends of the conductor. The induced voltage is proportional to the time rate of change of the current. The constant of proportionality
858-456: A central role in many modern technologies, serving in electric power where electric current is used to energise equipment, and in electronics dealing with electrical circuits involving active components such as vacuum tubes , transistors , diodes and integrated circuits , and associated passive interconnection technologies. The study of electrical phenomena dates back to antiquity, with theoretical understanding progressing slowly until
1001-432: A charge of Q coulombs every t seconds passing through an electric potential ( voltage ) difference of V is where Electric power is generally supplied to businesses and homes by the electric power industry . Electricity is usually sold by the kilowatt hour (3.6 MJ) which is the product of power in kilowatts multiplied by running time in hours. Electric utilities measure power using electricity meters , which keep
1144-512: A common reference point to which potentials may be expressed and compared is useful. While this could be at infinity, a much more useful reference is the Earth itself, which is assumed to be at the same potential everywhere. This reference point naturally takes the name earth or ground . Earth is assumed to be an infinite source of equal amounts of positive and negative charge and is therefore electrically uncharged—and unchargeable. Electric potential
1287-468: A current of one amp. The capacitor is a development of the Leyden jar and is a device that can store charge, and thereby storing electrical energy in the resulting field. It consists of two conducting plates separated by a thin insulating dielectric layer; in practice, thin metal foils are coiled together, increasing the surface area per unit volume and therefore the capacitance . The unit of capacitance
1430-490: A dampened kite string and flown the kite in a storm-threatened sky . A succession of sparks jumping from the key to the back of his hand showed that lightning was indeed electrical in nature. He also explained the apparently paradoxical behavior of the Leyden jar as a device for storing large amounts of electrical charge in terms of electricity consisting of both positive and negative charges. In 1775, Hugh Williamson reported
1573-425: A fifth of the population and played a major role in the economy. Slavery was a complex institution that supported traditional Roman social structures as well as contributing economic utility. In urban settings, slaves might be professionals such as teachers, physicians, chefs, and accountants; the majority of slaves provided trained or unskilled labour. Agriculture and industry, such as milling and mining, relied on
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#17328490887621716-635: A fine for a crime for which an humilior might receive a scourging . Execution, which was an infrequent legal penalty for free men under the Republic, could be quick and relatively painless for honestiores , while humiliores might suffer the kinds of torturous death previously reserved for slaves, such as crucifixion and condemnation to the beasts . In the early Empire, those who converted to Christianity could lose their standing as honestiores , especially if they declined to fulfil religious responsibilities, and thus became subject to punishments that created
1859-425: A freedman were born free, with full rights of citizenship. After manumission, a slave who had belonged to a Roman citizen enjoyed active political freedom ( libertas ), including the right to vote. His former master became his patron ( patronus ): the two continued to have customary and legal obligations to each other. A freedman was not entitled to hold public office or the highest state priesthoods, but could play
2002-617: A high-achieving group of freedmen is attested by inscriptions throughout the Empire . The Latin word ordo (plural ordines ) is translated variously and inexactly into English as "class, order, rank". One purpose of the Roman census was to determine the ordo to which an individual belonged. Two of the highest ordines in Rome were the senatorial and equestrian. Outside Rome, cities or colonies were led by decurions , also known as curiales . "Senator"
2145-565: A higher social class. Most of the emperors were bilingual but had a preference for Latin in the public sphere for political reasons, a "rule" that first started during the Punic Wars . Different emperors up until Justinian would attempt to require the use of Latin in various sections of the administration but there is no evidence that a linguistic imperialism existed during the early Empire. After all freeborn inhabitants were universally enfranchised in 212 , many Roman citizens would have lacked
2288-401: A household or workplace, a hierarchy of slaves might exist, with one slave acting as the master of others. Talented slaves might accumulate a large enough peculium to justify their freedom, or be manumitted for services rendered. Manumission had become frequent enough that in 2 BC a law ( Lex Fufia Caninia ) limited the number of slaves an owner was allowed to free in his will. Following
2431-465: A knowledge of Latin. The wide use of Koine Greek was what enabled the spread of Christianity and reflects its role as the lingua franca of the Mediterranean during the time of the Empire. Following Diocletian's reforms in the 3rd century CE, there was a decline in the knowledge of Greek in the west. Spoken Latin later fragmented into the incipient romance languages in the 7th century CE following
2574-425: A large lightning cloud may be as high as 100 MV and have discharge energies as great as 250 kWh. The field strength is greatly affected by nearby conducting objects, and it is particularly intense when it is forced to curve around sharply pointed objects. This principle is exploited in the lightning conductor , the sharp spike of which acts to encourage the lightning strike to develop there, rather than to
2717-513: A lasting influence on the development of language , religion , art , architecture , literature , philosophy , law , and forms of government across its territories. Latin evolved into the Romance languages while Medieval Greek became the language of the East. The Empire's adoption of Christianity resulted in the formation of medieval Christendom . Roman and Greek art had a profound impact on
2860-454: A man as an equestrian. The census of 28 BC uncovered large numbers of men who qualified, and in 14 AD, a thousand equestrians were registered at Cádiz and Padua alone. Equestrians rose through a military career track ( tres militiae ) to become highly placed prefects and procurators within the Imperial administration. The rise of provincial men to the senatorial and equestrian orders
3003-554: A married woman could have sex only with her husband, but a married man did not commit adultery if he had sex with a prostitute or person of marginalized status. Childbearing was encouraged: a woman who had given birth to three children was granted symbolic honours and greater legal freedom (the ius trium liberorum ). At the time of Augustus, as many as 35% of the people in Roman Italy were slaves, making Rome one of five historical "slave societies" in which slaves constituted at least
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#17328490887623146-402: A millimetre per second, the electric field that drives them itself propagates at close to the speed of light , enabling electrical signals to pass rapidly along wires. Current causes several observable effects, which historically were the means of recognising its presence. That water could be decomposed by the current from a voltaic pile was discovered by Nicholson and Carlisle in 1800,
3289-553: A more reliable source of electrical energy than the electrostatic machines previously used. The recognition of electromagnetism , the unity of electric and magnetic phenomena, is due to Hans Christian Ørsted and André-Marie Ampère in 1819–1820. Michael Faraday invented the electric motor in 1821, and Georg Ohm mathematically analysed the electrical circuit in 1827. Electricity and magnetism (and light) were definitively linked by James Clerk Maxwell , in particular in his " On Physical Lines of Force " in 1861 and 1862. While
3432-425: A positive current is defined as having the same direction of flow as any positive charge it contains, or to flow from the most positive part of a circuit to the most negative part. Current defined in this manner is called conventional current . The motion of negatively charged electrons around an electric circuit , one of the most familiar forms of current, is thus deemed positive in the opposite direction to that of
3575-420: A positive or negative electric charge produces an electric field . The motion of electric charges is an electric current and produces a magnetic field . In most applications, Coulomb's law determines the force acting on an electric charge. Electric potential is the work done to move an electric charge from one point to another within an electric field, typically measured in volts . Electricity plays
3718-891: A practical generator, but it showed the possibility of generating electric power using magnetism, a possibility that would be taken up by those that followed on from his work. An electric circuit is an interconnection of electric components such that electric charge is made to flow along a closed path (a circuit), usually to perform some useful task. The components in an electric circuit can take many forms, which can include elements such as resistors , capacitors , switches , transformers and electronics . Electronic circuits contain active components , usually semiconductors , and typically exhibit non-linear behaviour, requiring complex analysis. The simplest electric components are those that are termed passive and linear : while they may temporarily store energy, they contain no sources of it, and exhibit linear responses to stimuli. The resistor
3861-406: A process now known as electrolysis . Their work was greatly expanded upon by Michael Faraday in 1833. Current through a resistance causes localised heating, an effect James Prescott Joule studied mathematically in 1840. One of the most important discoveries relating to current was made accidentally by Hans Christian Ørsted in 1820, when, while preparing a lecture, he witnessed the current in
4004-471: A rapidly changing one. Electric power is the rate at which electric energy is transferred by an electric circuit . The SI unit of power is the watt , one joule per second . Electric power, like mechanical power , is the rate of doing work , measured in watts , and represented by the letter P . The term wattage is used colloquially to mean "electric power in watts." The electric power in watts produced by an electric current I consisting of
4147-485: A resistance is directly proportional to the potential difference across it. The resistance of most materials is relatively constant over a range of temperatures and currents; materials under these conditions are known as 'ohmic'. The ohm , the unit of resistance, was named in honour of Georg Ohm , and is symbolised by the Greek letter Ω. 1 Ω is the resistance that will produce a potential difference of one volt in response to
4290-595: A running total of the electric energy delivered to a customer. Unlike fossil fuels , electricity is a low entropy form of energy and can be converted into motion or many other forms of energy with high efficiency. Electronics deals with electrical circuits that involve active electrical components such as vacuum tubes , transistors , diodes , sensors and integrated circuits , and associated passive interconnection technologies. The nonlinear behaviour of active components and their ability to control electron flows makes digital switching possible, and electronics
4433-431: A scientific curiosity into an essential tool for modern life. In 1887, Heinrich Hertz discovered that electrodes illuminated with ultraviolet light create electric sparks more easily. In 1905, Albert Einstein published a paper that explained experimental data from the photoelectric effect as being the result of light energy being carried in discrete quantized packets, energising electrons. This discovery led to
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4576-427: A sense of "Romanness". Roman society had multiple, overlapping social hierarchies . The civil war preceding Augustus caused upheaval, but did not effect an immediate redistribution of wealth and social power. From the perspective of the lower classes, a peak was merely added to the social pyramid. Personal relationships— patronage , friendship ( amicitia ), family , marriage —continued to influence politics. By
4719-568: A series of experiments to the Royal Society on the shocks delivered by the electric eel ; that same year the surgeon and anatomist John Hunter described the structure of the fish's electric organs . In 1791, Luigi Galvani published his discovery of bioelectromagnetics , demonstrating that electricity was the medium by which neurons passed signals to the muscles. Alessandro Volta 's battery, or voltaic pile , of 1800, made from alternating layers of zinc and copper, provided scientists with
4862-510: A series of observations on static electricity around 600 BCE, from which he believed that friction rendered amber magnetic , in contrast to minerals such as magnetite , which needed no rubbing. Thales was incorrect in believing the attraction was due to a magnetic effect, but later science would prove a link between magnetism and electricity. According to a controversial theory, the Parthians may have had knowledge of electroplating , based on
5005-468: A set of equations that could unambiguously describe the interrelationship between electric field, magnetic field, electric charge, and electric current. He could moreover prove that in a vacuum such a wave would travel at the speed of light , and thus light itself was a form of electromagnetic radiation. Maxwell's equations , which unify light, fields, and charge are one of the great milestones of theoretical physics. Roman Empire The Roman Empire
5148-507: A slave's rapist had to be prosecuted by the owner for property damage under the Aquilian Law . Slaves had no right to the form of legal marriage called conubium , but their unions were sometimes recognized. Technically, a slave could not own property, but a slave who conducted business might be given access to an individual fund ( peculium ) that he could use, depending on the degree of trust and co-operation between owner and slave. Within
5291-477: A solid crystal (such as a germanium crystal) to detect a radio signal by the contact junction effect. In a solid-state component, the current is confined to solid elements and compounds engineered specifically to switch and amplify it. Current flow can be understood in two forms: as negatively charged electrons , and as positively charged electron deficiencies called holes . These charges and holes are understood in terms of quantum physics. The building material
5434-511: A wire disturbing the needle of a magnetic compass. He had discovered electromagnetism , a fundamental interaction between electricity and magnetics. The level of electromagnetic emissions generated by electric arcing is high enough to produce electromagnetic interference , which can be detrimental to the workings of adjacent equipment. In engineering or household applications, current is often described as being either direct current (DC) or alternating current (AC). These terms refer to how
5577-448: A wire suspended from a pivot above the magnet and dipped into the mercury. The magnet exerted a tangential force on the wire, making it circle around the magnet for as long as the current was maintained. Experimentation by Faraday in 1831 revealed that a wire moving perpendicular to a magnetic field developed a potential difference between its ends. Further analysis of this process, known as electromagnetic induction , enabled him to state
5720-402: A wire. The informal term static electricity refers to the net presence (or 'imbalance') of charge on a body, usually caused when dissimilar materials are rubbed together, transferring charge from one to the other. Charge can be measured by a number of means, an early instrument being the gold-leaf electroscope , which although still in use for classroom demonstrations, has been superseded by
5863-584: Is a scalar quantity . That is, it has only magnitude and not direction. It may be viewed as analogous to height : just as a released object will fall through a difference in heights caused by a gravitational field, so a charge will 'fall' across the voltage caused by an electric field. As relief maps show contour lines marking points of equal height, a set of lines marking points of equal potential (known as equipotentials ) may be drawn around an electrostatically charged object. The equipotentials cross all lines of force at right angles. They must also lie parallel to
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6006-411: Is a vector field . The study of electric fields created by stationary charges is called electrostatics . The field may be visualised by a set of imaginary lines whose direction at any point is the same as that of the field. This concept was introduced by Faraday, whose term ' lines of force ' still sometimes sees use. The field lines are the paths that a point positive charge would seek to make as it
6149-545: Is an aspect of social mobility in the early Empire. Roman aristocracy was based on competition, and unlike later European nobility , a Roman family could not maintain its position merely through hereditary succession or having title to lands. Admission to the higher ordines brought distinction and privileges, but also responsibilities. In antiquity, a city depended on its leading citizens to fund public works, events, and services ( munera ). Maintaining one's rank required massive personal expenditures. Decurions were so vital for
6292-452: Is an important difference. Gravity always acts in attraction, drawing two masses together, while the electric field can result in either attraction or repulsion. Since large bodies such as planets generally carry no net charge, the electric field at a distance is usually zero. Thus gravity is the dominant force at distance in the universe, despite being much weaker. An electric field generally varies in space, and its strength at any one point
6435-401: Is charged by the glass rod, and the other by an amber rod, the two balls are found to attract each other. These phenomena were investigated in the late eighteenth century by Charles-Augustin de Coulomb , who deduced that charge manifests itself in two opposing forms. This discovery led to the well-known axiom: like-charged objects repel and opposite-charged objects attract . The force acts on
6578-468: Is defined as negative, and that by protons is positive. Before these particles were discovered, Benjamin Franklin had defined a positive charge as being the charge acquired by a glass rod when it is rubbed with a silk cloth. A proton by definition carries a charge of exactly 1.602 176 634 × 10 coulombs . This value is also defined as the elementary charge . No object can have a charge smaller than
6721-483: Is defined as the force (per unit charge) that would be felt by a stationary, negligible charge if placed at that point. The conceptual charge, termed a ' test charge ', must be vanishingly small to prevent its own electric field disturbing the main field and must also be stationary to prevent the effect of magnetic fields . As the electric field is defined in terms of force , and force is a vector , having both magnitude and direction , it follows that an electric field
6864-531: Is integral to applications spanning transport , heating , lighting , communications , and computation , making it the foundation of modern industrial society. Long before any knowledge of electricity existed, people were aware of shocks from electric fish . Ancient Egyptian texts dating from 2750 BCE described them as the "protectors" of all other fish. Electric fish were again reported millennia later by ancient Greek , Roman and Arabic naturalists and physicians . Several ancient writers, such as Pliny
7007-406: Is mediated by the magnetic field each current produces and forms the basis for the international definition of the ampere . This relationship between magnetic fields and currents is extremely important, for it led to Michael Faraday's invention of the electric motor in 1821. Faraday's homopolar motor consisted of a permanent magnet sitting in a pool of mercury . A current was allowed through
7150-415: Is most often a crystalline semiconductor . Solid-state electronics came into its own with the emergence of transistor technology. The first working transistor, a germanium -based point-contact transistor , was invented by John Bardeen and Walter Houser Brattain at Bell Labs in 1947, followed by the bipolar junction transistor in 1948. By modern convention, the charge carried by electrons
7293-403: Is perhaps the simplest of passive circuit elements: as its name suggests, it resists the current through it, dissipating its energy as heat. The resistance is a consequence of the motion of charge through a conductor: in metals, for example, resistance is primarily due to collisions between electrons and ions. Ohm's law is a basic law of circuit theory , stating that the current passing through
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#17328490887627436-531: Is subjected to transients , such as when first energised. The concept of the electric field was introduced by Michael Faraday . An electric field is created by a charged body in the space that surrounds it, and results in a force exerted on any other charges placed within the field. The electric field acts between two charges in a similar manner to the way that the gravitational field acts between two masses , and like it, extends towards infinity and shows an inverse square relationship with distance. However, there
7579-406: Is termed the inductance . The unit of inductance is the henry , named after Joseph Henry , a contemporary of Faraday. One henry is the inductance that will induce a potential difference of one volt if the current through it changes at a rate of one ampere per second. The inductor's behaviour is in some regards converse to that of the capacitor: it will freely allow an unchanging current, but opposes
7722-415: Is the farad , named after Michael Faraday , and given the symbol F : one farad is the capacitance that develops a potential difference of one volt when it stores a charge of one coulomb. A capacitor connected to a voltage supply initially causes a current as it accumulates charge; this current will however decay in time as the capacitor fills, eventually falling to zero. A capacitor will therefore not permit
7865-524: Is therefore 0 at all places inside the body. This is the operating principal of the Faraday cage , a conducting metal shell which isolates its interior from outside electrical effects. The principles of electrostatics are important when designing items of high-voltage equipment. There is a finite limit to the electric field strength that may be withstood by any medium. Beyond this point, electrical breakdown occurs and an electric arc causes flashover between
8008-613: Is traditionally regarded as the Pax Romana ("Roman Peace"). The cohesion of the empire was furthered by a degree of social stability and economic prosperity that Rome had never before experienced. Uprisings in the provinces were infrequent and put down "mercilessly and swiftly". The success of Augustus in establishing principles of dynastic succession was limited by his outliving a number of talented potential heirs. The Julio-Claudian dynasty lasted for four more emperors— Tiberius , Caligula , Claudius , and Nero —before it yielded in 69 AD to
8151-409: Is usually measured in volts , and one volt is the potential for which one joule of work must be expended to bring a charge of one coulomb from infinity. This definition of potential, while formal, has little practical application, and a more useful concept is that of electric potential difference , and is the energy required to move a unit charge between two specified points. An electric field has
8294-536: Is widely used in information processing , telecommunications , and signal processing . Interconnection technologies such as circuit boards , electronics packaging technology, and other varied forms of communication infrastructure complete circuit functionality and transform the mixed components into a regular working system . Today, most electronic devices use semiconductor components to perform electron control. The underlying principles that explain how semiconductors work are studied in solid state physics , whereas
8437-590: The Battle of Actium in 31 BC. In 27 BC the Senate gave him the title Augustus ("venerated") and made him princeps ("foremost") with proconsular imperium , thus beginning the Principate , the first epoch of Roman imperial history. Although the republic stood in name, Augustus had all meaningful authority. During his 40-year rule, a new constitutional order emerged so that, upon his death, Tiberius would succeed him as
8580-470: The Dominate . The emperor was the ultimate authority in policy- and decision-making, but in the early Principate, he was expected to be accessible and deal personally with official business and petitions. A bureaucracy formed around him only gradually. The Julio-Claudian emperors relied on an informal body of advisors that included not only senators and equestrians, but trusted slaves and freedmen. After Nero,
8723-666: The Huns of Attila , led to the decline of the Western Roman Empire . With the fall of Ravenna to the Germanic Herulians and the deposition of Romulus Augustus in 476 by Odoacer , the Western Empire finally collapsed. The Eastern Roman Empire survived for another millennium with Constantinople as its sole capital, until the city's fall in 1453. Due to the Empire's extent and endurance, its institutions and culture had
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#17328490887628866-533: The Italian Renaissance . Rome's architectural tradition served as the basis for Romanesque , Renaissance and Neoclassical architecture , influencing Islamic architecture . The rediscovery of classical science and technology (which formed the basis for Islamic science ) in medieval Europe contributed to the Scientific Renaissance and Scientific Revolution . Many modern legal systems, such as
9009-615: The Mediterranean and beyond. However, it was severely destabilised by civil wars and political conflicts , which culminated in the victory of Octavian over Mark Antony and Cleopatra at the Battle of Actium in 31 BC, and the subsequent conquest of the Ptolemaic Kingdom in Egypt. In 27 BC, the Roman Senate granted Octavian overarching military power ( imperium ) and
9152-691: The Napoleonic Code , descend from Roman law. Rome's republican institutions have influenced the Italian city-state republics of the medieval period, the early United States , and modern democratic republics . Rome had begun expanding shortly after the founding of the Roman Republic in the 6th century BC, though not outside the Italian Peninsula until the 3rd century BC. Thus, it was an "empire" (a great power) long before it had an emperor. The Republic
9295-700: The Neo-Latin word electricus ("of amber" or "like amber", from ἤλεκτρον, elektron , the Greek word for "amber") to refer to the property of attracting small objects after being rubbed. This association gave rise to the English words "electric" and "electricity", which made their first appearance in print in Thomas Browne 's Pseudodoxia Epidemica of 1646. Isaac Newton made early investigations into electricity, with an idea of his written down in his book Opticks arguably
9438-466: The Nile Valley in Egypt. The empire completely circled the Mediterranean ... referred to by its conquerors as mare nostrum —'our sea'. Trajan's successor Hadrian adopted a policy of maintaining rather than expanding the empire. Borders ( fines ) were marked, and the frontiers ( limites ) patrolled. The most heavily fortified borders were the most unstable. Hadrian's Wall , which separated
9581-495: The Pax Romana ( lit. ' Roman Peace ' ). Rome reached its greatest territorial extent under Trajan ( r. 98–117 AD ), but a period of increasing trouble and decline began under Commodus ( r. 180–192 ). In the 3rd century, the Empire underwent a 49-year crisis that threatened its existence due to civil war, plagues and barbarian invasions . The Gallic and Palmyrene empires broke away from
9724-590: The Servile Wars of the Republic, legislation under Augustus and his successors shows a driving concern for controlling the threat of rebellions through limiting the size of work groups, and for hunting down fugitive slaves. Over time slaves gained increased legal protection, including the right to file complaints against their masters. A bill of sale might contain a clause stipulating that the slave could not be employed for prostitution, as prostitutes in ancient Rome were often slaves. The burgeoning trade in eunuchs in
9867-423: The electromagnetic force , one of the four fundamental forces of nature. Experiment has shown charge to be a conserved quantity , that is, the net charge within an electrically isolated system will always remain constant regardless of any changes taking place within that system. Within the system, charge may be transferred between bodies, either by direct contact, or by passing along a conducting material, such as
10010-511: The quantum revolution. Einstein was awarded the Nobel Prize in Physics in 1921 for "his discovery of the law of the photoelectric effect". The photoelectric effect is also employed in photocells such as can be found in solar panels . The first solid-state device was the " cat's-whisker detector " first used in the 1900s in radio receivers. A whisker-like wire is placed lightly in contact with
10153-452: The strong interaction , but unlike that force it operates over all distances. In comparison with the much weaker gravitational force , the electromagnetic force pushing two electrons apart is 10 times that of the gravitational attraction pulling them together. Charge originates from certain types of subatomic particles , the most familiar carriers of which are the electron and proton . Electric charge gives rise to and interacts with
10296-529: The 17th and 18th centuries. The development of the theory of electromagnetism in the 19th century marked significant progress, leading to electricity's industrial and residential application by electrical engineers by the century's end. This rapid expansion in electrical technology at the time was the driving force behind the Second Industrial Revolution , with electricity's versatility driving transformations in both industry and society. Electricity
10439-538: The 1936 discovery of the Baghdad Battery , which resembles a galvanic cell , though it is uncertain whether the artifact was electrical in nature. Electricity would remain little more than an intellectual curiosity for millennia until 1600, when the English scientist William Gilbert wrote De Magnete , in which he made a careful study of electricity and magnetism, distinguishing the lodestone effect from static electricity produced by rubbing amber. He coined
10582-605: The 600-member body by appointment. A senator's son belonged to the ordo senatorius , but he had to qualify on his own merits for admission to the Senate. A senator could be removed for violating moral standards. In the time of Nero, senators were still primarily from Italy , with some from the Iberian peninsula and southern France; men from the Greek-speaking provinces of the East began to be added under Vespasian. The first senator from
10725-400: The 6th and 7th centuries with the disintegration of the complex Imperial economy. Laws pertaining to slavery were "extremely intricate". Slaves were considered property and had no legal personhood . They could be subjected to forms of corporal punishment not normally exercised on citizens, sexual exploitation , torture, and summary execution . A slave could not as a matter of law be raped;
10868-452: The Augustan programme to restore traditional morality and social order, moral legislation attempted to regulate conduct as a means of promoting " family values ". Adultery was criminalized, and defined broadly as an illicit sex act ( stuprum ) between a male citizen and a married woman, or between a married woman and any man other than her husband. That is, a double standard was in place:
11011-590: The Elder and Scribonius Largus , attested to the numbing effect of electric shocks delivered by electric catfish and electric rays , and knew that such shocks could travel along conducting objects. Patients with ailments such as gout or headache were directed to touch electric fish in the hope that the powerful jolt might cure them. Ancient cultures around the Mediterranean knew that certain objects, such as rods of amber , could be rubbed with cat's fur to attract light objects like feathers. Thales of Miletus made
11154-513: The Empire was engulfed by the Crisis of the Third Century , a period of invasions , civil strife , economic disorder , and plague . In defining historical epochs , this crisis sometimes marks the transition from Classical to Late Antiquity . Aurelian ( r. 270–275 ) stabilised the empire militarily and Diocletian reorganised and restored much of it in 285. Diocletian's reign brought
11297-602: The Middle East. The Latin phrase imperium sine fine ("empire without end" ) expressed the ideology that neither time nor space limited the Empire. In Virgil 's Aeneid , limitless empire is said to be granted to the Romans by Jupiter . This claim of universal dominion was renewed when the Empire came under Christian rule in the 4th century. In addition to annexing large regions, the Romans directly altered their geography, for example cutting down entire forests . Roman expansion
11440-450: The Rhine and Danube. Roman jurists also show a concern for local languages such as Punic , Gaulish , and Aramaic in assuring the correct understanding of laws and oaths. In Africa , Libyco-Berber and Punic were used in inscriptions into the 2nd century. In Syria , Palmyrene soldiers used their dialect of Aramaic for inscriptions, an exception to the rule that Latin was the language of
11583-606: The Roman Republic ) while greatly extending its power beyond Italy. In 44 BC Julius Caesar was briefly perpetual dictator before being assassinated by a faction that opposed his concentration of power. This faction was driven from Rome and defeated at the Battle of Philippi in 42 BC by Mark Antony and Caesar's adopted son Octavian . Antony and Octavian divided the Roman world between them, but this did not last long. Octavian's forces defeated those of Mark Antony and Cleopatra at
11726-430: The Roman legal concept of imperium , meaning "command" (typically in a military sense). Occasionally, successful consuls or generals were given the honorary title imperator (commander); this is the origin of the word emperor , since this title was always bestowed to the early emperors. Rome suffered a long series of internal conflicts, conspiracies, and civil wars from the late second century BC (see Crisis of
11869-448: The Roman world from what was perceived as an ever-present barbarian threat, is the primary surviving monument of this effort. Latin and Greek were the main languages of the Empire, but the Empire was deliberately multilingual. Andrew Wallace-Hadrill says "The main desire of the Roman government was to make itself understood". At the start of the Empire, knowledge of Greek was useful to pass as educated nobility and knowledge of Latin
12012-449: The account of his achievements ( Res Gestae ) prominently featured the geographical cataloguing of the Empire. Geography alongside meticulous written records were central concerns of Roman Imperial administration . The Empire reached its largest expanse under Trajan ( r. 98–117 ), encompassing 5 million km . The traditional population estimate of 55–60 million inhabitants accounted for between one-sixth and one-fourth of
12155-408: The beginning of the field theory of the electric force. Further work was conducted in the 17th and early 18th centuries by Otto von Guericke , Robert Boyle , Stephen Gray and C. F. du Fay . Later in the 18th century, Benjamin Franklin conducted extensive research in electricity, selling his possessions to fund his work. In June 1752 he is reputed to have attached a metal key to the bottom of
12298-419: The building it serves to protect. The concept of electric potential is closely linked to that of the electric field. A small charge placed within an electric field experiences a force, and to have brought that charge to that point against the force requires work . The electric potential at any point is defined as the energy required to bring a unit test charge from an infinite distance slowly to that point. It
12441-426: The charged particles themselves, hence charge has a tendency to spread itself as evenly as possible over a conducting surface. The magnitude of the electromagnetic force, whether attractive or repulsive, is given by Coulomb's law , which relates the force to the product of the charges and has an inverse-square relation to the distance between them. The electromagnetic force is very strong, second only in strength to
12584-450: The charged parts. Air, for example, tends to arc across small gaps at electric field strengths which exceed 30 kV per centimetre. Over larger gaps, its breakdown strength is weaker, perhaps 1 kV per centimetre. The most visible natural occurrence of this is lightning , caused when charge becomes separated in the clouds by rising columns of air, and raises the electric field in the air to greater than it can withstand. The voltage of
12727-418: The collapse of the Empire's west. The dominance of Latin and Greek among the literate elite obscure the continuity of other spoken languages within the Empire. Latin, referred to in its spoken form as Vulgar Latin , gradually replaced Celtic and Italic languages . References to interpreters indicate the continuing use of local languages, particularly in Egypt with Coptic , and in military settings along
12870-482: The conditions of martyrdom . The three major elements of the Imperial state were the central government, the military, and the provincial government. The military established control of a territory through war, but after a city or people was brought under treaty, the mission turned to policing: protecting Roman citizens, agricultural fields, and religious sites. The Romans lacked sufficient manpower or resources to rule through force alone. Cooperation with local elites
13013-411: The current varies in time. Direct current, as produced by example from a battery and required by most electronic devices, is a unidirectional flow from the positive part of a circuit to the negative. If, as is most common, this flow is carried by electrons, they will be travelling in the opposite direction. Alternating current is any current that reverses direction repeatedly; almost always this takes
13156-481: The deceased emperor's deification. The dominance of the emperor was based on the consolidation of powers from several republican offices. The emperor made himself the central religious authority as pontifex maximus , and centralized the right to declare war, ratify treaties, and negotiate with foreign leaders. While these functions were clearly defined during the Principate , the emperor's powers over time became less constitutional and more monarchical, culminating in
13299-497: The descent "from a kingdom of gold to one of rust and iron", a comment which has led some historians, notably Edward Gibbon , to take Commodus' reign as the beginning of the Empire's decline . In 212, during the reign of Caracalla , Roman citizenship was granted to all freeborn inhabitants of the empire. The Severan dynasty was tumultuous; an emperor's reign was ended routinely by his murder or execution and, following its collapse,
13442-516: The design and construction of electronic circuits to solve practical problems are part of electronics engineering . Faraday's and Ampère's work showed that a time-varying magnetic field created an electric field, and a time-varying electric field created a magnetic field. Thus, when either field is changing in time, a field of the other is always induced. These variations are an electromagnetic wave . Electromagnetic waves were analysed theoretically by James Clerk Maxwell in 1864. Maxwell developed
13585-478: The early 19th century had seen rapid progress in electrical science, the late 19th century would see the greatest progress in electrical engineering . Through such people as Alexander Graham Bell , Ottó Bláthy , Thomas Edison , Galileo Ferraris , Oliver Heaviside , Ányos Jedlik , William Thomson, 1st Baron Kelvin , Charles Algernon Parsons , Werner von Siemens , Joseph Swan , Reginald Fessenden , Nikola Tesla and George Westinghouse , electricity turned from
13728-467: The easternmost province, Cappadocia , was admitted under Marcus Aurelius. By the Severan dynasty (193–235), Italians made up less than half the Senate. During the 3rd century, domicile at Rome became impractical, and inscriptions attest to senators who were active in politics and munificence in their homeland ( patria ). Senators were the traditional governing class who rose through the cursus honorum ,
13871-427: The effect was reciprocal: a current exerts a force on a magnet, and a magnetic field exerts a force on a current. The phenomenon was further investigated by Ampère , who discovered that two parallel current-carrying wires exerted a force upon each other: two wires conducting currents in the same direction are attracted to each other, while wires containing currents in opposite directions are forced apart. The interaction
14014-448: The electronic electrometer . The movement of electric charge is known as an electric current , the intensity of which is usually measured in amperes . Current can consist of any moving charged particles; most commonly these are electrons, but any charge in motion constitutes a current. Electric current can flow through some things, electrical conductors , but will not flow through an electrical insulator . By historical convention,
14157-416: The electrons. However, depending on the conditions, an electric current can consist of a flow of charged particles in either direction, or even in both directions at once. The positive-to-negative convention is widely used to simplify this situation. The process by which electric current passes through a material is termed electrical conduction , and its nature varies with that of the charged particles and
14300-428: The elementary charge, and any amount of charge an object may carry is a multiple of the elementary charge. An electron has an equal negative charge, i.e. −1.602 176 634 × 10 coulombs . Charge is possessed not just by matter , but also by antimatter , each antiparticle bearing an equal and opposite charge to its corresponding particle. The presence of charge gives rise to an electrostatic force: charges exert
14443-505: The empire's most concerted effort against the perceived threat of Christianity , the " Great Persecution ". Diocletian divided the empire into four regions, each ruled by a separate tetrarch . Confident that he fixed the disorder plaguing Rome, he abdicated along with his co-emperor, but the Tetrarchy collapsed shortly after . Order was eventually restored by Constantine the Great , who became
14586-506: The empire. This legal egalitarianism required a far-reaching revision of existing laws that distinguished between citizens and non-citizens. Freeborn Roman women were considered citizens, but did not vote, hold political office, or serve in the military. A mother's citizen status determined that of her children, as indicated by the phrase ex duobus civibus Romanis natos ("children born of two Roman citizens"). A Roman woman kept her own family name ( nomen ) for life. Children most often took
14729-609: The end of the Western Roman Empire in 476, when Romulus Augustulus was forced to abdicate to the Germanic warlord Odoacer . Odoacer ended the Western Empire by declaring Zeno sole emperor and placing himself as Zeno's nominal subordinate. In reality, Italy was ruled by Odoacer alone. The Eastern Roman Empire, called the Byzantine Empire by later historians, continued until the reign of Constantine XI Palaiologos ,
14872-498: The exploitation of slaves. Outside Italy, slaves were on average an estimated 10 to 20% of the population, sparse in Roman Egypt but more concentrated in some Greek areas. Expanding Roman ownership of arable land and industries affected preexisting practices of slavery in the provinces. Although slavery has often been regarded as waning in the 3rd and 4th centuries, it remained an integral part of Roman society until gradually ceasing in
15015-457: The father's name, with some exceptions. Women could own property, enter contracts, and engage in business. Inscriptions throughout the Empire honour women as benefactors in funding public works, an indication they could hold considerable fortunes. The archaic manus marriage in which the woman was subject to her husband's authority was largely abandoned by the Imperial era, and a married woman retained ownership of any property she brought into
15158-619: The first emperor to convert to Christianity , and who established Constantinople as the new capital of the Eastern Empire. During the decades of the Constantinian and Valentinian dynasties, the empire was divided along an east–west axis, with dual power centres in Constantinople and Rome. Julian , who under the influence of his adviser Mardonius attempted to restore Classical Roman and Hellenistic religion , only briefly interrupted
15301-495: The form of a sine wave . Alternating current thus pulses back and forth within a conductor without the charge moving any net distance over time. The time-averaged value of an alternating current is zero, but it delivers energy in first one direction, and then the reverse. Alternating current is affected by electrical properties that are not observed under steady state direct current, such as inductance and capacitance . These properties however can become important when circuitry
15444-456: The functioning of cities that in the later Empire, as the ranks of the town councils became depleted, those who had risen to the Senate were encouraged to return to their hometowns, in an effort to sustain civic life. In the later Empire, the dignitas ("worth, esteem") that attended on senatorial or equestrian rank was refined further with titles such as vir illustris ("illustrious man"). The appellation clarissimus (Greek lamprotatos )
15587-664: The historian Christopher Kelly described it: Then the empire stretched from Hadrian's Wall in drizzle-soaked northern England to the sun-baked banks of the Euphrates in Syria; from the great Rhine – Danube river system, which snaked across the fertile, flat lands of Europe from the Low Countries to the Black Sea , to the rich plains of the North African coast and the luxuriant gash of
15730-515: The last Roman emperor. He died in battle in 1453 against Mehmed II and his Ottoman forces during the siege of Constantinople . Mehmed II adopted the title of caesar in an attempt to claim a connection to the former Empire. His claim was soon recognized by the Patriarchate of Constantinople , but not by most European monarchs. The Roman Empire was one of the largest in history, with contiguous territories throughout Europe, North Africa, and
15873-588: The late 1st century prompted legislation that prohibited the castration of a slave against his will "for lust or gain". Roman slavery was not based on race . Generally, slaves in Italy were indigenous Italians, with a minority of foreigners (including both slaves and freedmen) estimated at 5% of the total in the capital at its peak, where their number was largest. Foreign slaves had higher mortality and lower birth rates than natives, and were sometimes even subjected to mass expulsions. The average recorded age at death for
16016-486: The marriage. Technically she remained under her father's legal authority, even though she moved into her husband's home, but when her father died she became legally emancipated. This arrangement was a factor in the degree of independence Roman women enjoyed compared to many other cultures up to the modern period: although she had to answer to her father in legal matters, she was free of his direct scrutiny in daily life, and her husband had no legal power over her. Although it
16159-400: The material through which they are travelling. Examples of electric currents include metallic conduction, where electrons flow through a conductor such as metal, and electrolysis , where ions (charged atoms ) flow through liquids, or through plasmas such as electrical sparks. While the particles themselves can move quite slowly, sometimes with an average drift velocity only fractions of
16302-416: The members of the three higher "orders", along with certain military officers. The granting of universal citizenship in 212 seems to have increased the competitive urge among the upper classes to have their superiority affirmed, particularly within the justice system. Sentencing depended on the judgment of the presiding official as to the relative "worth" ( dignitas ) of the defendant: an honestior could pay
16445-719: The military. The last reference to Gaulish was between 560 and 575. The emergent Gallo-Romance languages would then be shaped by Gaulish. Proto-Basque or Aquitanian evolved with Latin loan words to modern Basque . The Thracian language , as were several now-extinct languages in Anatolia, are attested in Imperial-era inscriptions. The Empire was remarkably multicultural, with "astonishing cohesive capacity" to create shared identity while encompassing diverse peoples. Public monuments and communal spaces open to all—such as forums , amphitheatres , racetracks and baths —helped foster
16588-444: The new de facto monarch. As Roman provinces were being established throughout the Mediterranean, Italy maintained a special status which made it domina provinciarum ("ruler of the provinces"), and – especially in relation to the first centuries of imperial stability – rectrix mundi ("governor of the world") and omnium terrarum parens ("parent of all lands"). The 200 years that began with Augustus's rule
16731-407: The new title of Augustus , marking his accession as the first Roman emperor . The vast Roman territories were organized into senatorial provinces, governed by proconsuls who were appointed by lot annually, and imperial provinces, which belonged to the emperor but were governed by legates . The first two centuries of the Empire saw a period of unprecedented stability and prosperity known as
16874-412: The political career track, but equestrians often possessed greater wealth and political power. Membership in the equestrian order was based on property; in Rome's early days, equites or knights had been distinguished by their ability to serve as mounted warriors, but cavalry service was a separate function in the Empire. A census valuation of 400,000 sesterces and three generations of free birth qualified
17017-507: The poor were other sources. Vernae , by contrast, were "homegrown" slaves born to female slaves within the household, estate or farm. Although they had no special legal status, an owner who mistreated or failed to care for his vernae faced social disapproval, as they were considered part of the family household and in some cases might actually be the children of free males in the family. Rome differed from Greek city-states in allowing freed slaves to become citizens; any future children of
17160-428: The principle, now known as Faraday's law of induction , that the potential difference induced in a closed circuit is proportional to the rate of change of magnetic flux through the loop. Exploitation of this discovery enabled him to invent the first electrical generator in 1831, in which he converted the mechanical energy of a rotating copper disc to electrical energy. Faraday's disc was inefficient and of no use as
17303-528: The slaves of the city of Rome was seventeen and a half years (17.2 for males; 17.9 for females). During the period of republican expansionism when slavery had become pervasive, war captives were a main source of slaves. The range of ethnicities among slaves to some extent reflected that of the armies Rome defeated in war, and the conquest of Greece brought a number of highly skilled and educated slaves. Slaves were also traded in markets and sometimes sold by pirates . Infant abandonment and self-enslavement among
17446-454: The special property that it is conservative , which means that the path taken by the test charge is irrelevant: all paths between two specified points expend the same energy, and thus a unique value for potential difference may be stated. The volt is so strongly identified as the unit of choice for measurement and description of electric potential difference that the term voltage sees greater everyday usage. For practical purposes, defining
17589-636: The state and a series of short-lived emperors led the Empire, which was later reunified under Aurelian ( r. 270–275 ). The civil wars ended with the victory of Diocletian ( r. 284–305 ), who set up two different imperial courts in the Greek East and Latin West . Constantine the Great ( r. 306–337 ), the first Christian emperor , moved the imperial seat from Rome to Byzantium in 330, and renamed it Constantinople . The Migration Period , involving large invasions by Germanic peoples and by
17732-522: The strife-torn Year of the Four Emperors , from which Vespasian emerged as the victor. Vespasian became the founder of the brief Flavian dynasty , followed by the Nerva–Antonine dynasty which produced the " Five Good Emperors ": Nerva , Trajan , Hadrian , Antoninus Pius , and Marcus Aurelius . In the view of contemporary Greek historian Cassius Dio , the accession of Commodus in 180 marked
17875-461: The succession of Christian emperors. Theodosius I , the last emperor to rule over both East and West, died in 395 after making Christianity the state religion . The Western Roman Empire began to disintegrate in the early 5th century. The Romans fought off all invaders, most famously Attila , but the empire had assimilated so many Germanic peoples of dubious loyalty to Rome that the empire started to dismember itself. Most chronologies place
18018-562: The time of Nero , however, it was not unusual to find a former slave who was richer than a freeborn citizen, or an equestrian who exercised greater power than a senator. The blurring of the Republic's more rigid hierarchies led to increased social mobility , both upward and downward, to a greater extent than all other well-documented ancient societies. Women, freedmen, and slaves had opportunities to profit and exercise influence in ways previously less available to them. Social life, particularly for those whose personal resources were limited,
18161-418: The two forces of nature then known. The force on the compass needle did not direct it to or away from the current-carrying wire, but acted at right angles to it. Ørsted's words were that "the electric conflict acts in a revolving manner." The force also depended on the direction of the current, for if the flow was reversed, then the force did too. Ørsted did not fully understand his discovery, but he observed
18304-417: The vector direction of the field is the line of greatest slope of potential, and where the equipotentials lie closest together. Ørsted's discovery in 1821 that a magnetic field existed around all sides of a wire carrying an electric current indicated that there was a direct relationship between electricity and magnetism. Moreover, the interaction seemed different from gravitational and electrostatic forces,
18447-411: The world's total population and made it the most populous unified political entity in the West until the mid-19th century. Recent demographic studies have argued for a population peak from 70 million to more than 100 million . Each of the three largest cities in the Empire – Rome, Alexandria , and Antioch – was almost twice the size of any European city at the beginning of the 17th century. As
18590-587: The year 1944. 48°10′16″N 11°35′46″E / 48.171°N 11.596°E / 48.171; 11.596 Electrical Electricity is the set of physical phenomena associated with the presence and motion of matter possessing an electric charge . Electricity is related to magnetism , both being part of the phenomenon of electromagnetism , as described by Maxwell's equations . Common phenomena are related to electricity, including lightning , static electricity , electric heating , electric discharges and many others. The presence of either
18733-442: Was a point of pride to be a "one-man woman" ( univira ) who had married only once, there was little stigma attached to divorce , nor to speedy remarriage after being widowed or divorced. Girls had equal inheritance rights with boys if their father died without leaving a will. A mother's right to own and dispose of property, including setting the terms of her will, gave her enormous influence over her sons into adulthood. As part of
18876-543: Was forced to move within the field; they are however an imaginary concept with no physical existence, and the field permeates all the intervening space between the lines. Field lines emanating from stationary charges have several key properties: first, that they originate at positive charges and terminate at negative charges; second, that they must enter any good conductor at right angles, and third, that they may never cross nor close in on themselves. A hollow conducting body carries all its charge on its outer surface. The field
19019-465: Was further defined by their citizenship. Most citizens held limited rights (such as the ius Latinum , "Latin right"), but were entitled to legal protections and privileges not enjoyed by non-citizens. Free people not considered citizens, but living within the Roman world, were peregrini , non-Romans. In 212, the Constitutio Antoniniana extended citizenship to all freeborn inhabitants of
19162-466: Was further fostered by a proliferation of voluntary associations and confraternities ( collegia and sodalitates ): professional and trade guilds, veterans' groups, religious sodalities, drinking and dining clubs, performing troupes, and burial societies . According to the jurist Gaius , the essential distinction in the Roman " law of persons " was that all humans were either free ( liberi ) or slaves ( servi ). The legal status of free persons
19305-492: Was made with x volt as at the Gross-Lichterfelde Tramway by the rails, which began only some meters after the last stops, which were increased. Thus for a start of the trip the brakes were loosened, whereby the train loose-rolled by the force of gravity , before it began to drive electrically. The vehicle shed with the clock tower for the two green motor coaches with gold ornament and two summer cars still stood in
19448-589: Was mostly accomplished under the Republic , though parts of northern Europe were conquered in the 1st century, when Roman control in Europe, Africa, and Asia was strengthened. Under Augustus , a "global map of the known world" was displayed for the first time in public at Rome, coinciding with the creation of the most comprehensive political geography that survives from antiquity, the Geography of Strabo . When Augustus died,
19591-671: Was necessary to maintain order, collect information, and extract revenue. The Romans often exploited internal political divisions. Communities with demonstrated loyalty to Rome retained their own laws, could collect their own taxes locally, and in exceptional cases were exempt from Roman taxation. Legal privileges and relative independence incentivized compliance. Roman government was thus limited , but efficient in its use of available resources. The Imperial cult of ancient Rome identified emperors and some members of their families with divinely sanctioned authority ( auctoritas ). The rite of apotheosis (also called consecratio ) signified
19734-416: Was never a legal requirement for Latin in the Empire, but it represented a certain status. High standards of Latin, Latinitas , started with the advent of Latin literature. Due to the flexible language policy of the Empire, a natural competition of language emerged that spurred Latinitas , to defend Latin against the stronger cultural influence of Greek. Over time Latin usage was used to project power and
19877-445: Was not a nation-state in the modern sense, but a network of self-ruled towns (with varying degrees of independence from the Senate ) and provinces administered by military commanders. It was governed by annually elected magistrates ( Roman consuls above all) in conjunction with the Senate. The 1st century BC was a time of political and military upheaval, which ultimately led to rule by emperors. The consuls' military power rested in
20020-426: Was not itself an elected office in ancient Rome; an individual gained admission to the Senate after he had been elected to and served at least one term as an executive magistrate . A senator also had to meet a minimum property requirement of 1 million sestertii . Not all men who qualified for the ordo senatorius chose to take a Senate seat, which required legal domicile at Rome. Emperors often filled vacancies in
20163-485: Was the era of Roman civilisation lasting from 27 BC to 476 AD. Rome ruled the Mediterranean and much of Europe, Western Asia and North Africa. The Romans conquered most of this during the Republic , and it was ruled by emperors following Octavian 's assumption of effective sole rule in 27 BC. The western empire collapsed in 476 AD, but the eastern empire lasted until the fall of Constantinople in 1453. By 100 BC, Rome had expanded its rule to most of
20306-447: Was used to designate the dignitas of certain senators and their immediate family, including women. "Grades" of equestrian status proliferated. As the republican principle of citizens' equality under the law faded, the symbolic and social privileges of the upper classes led to an informal division of Roman society into those who had acquired greater honours ( honestiores ) and humbler folk ( humiliores ). In general, honestiores were
20449-476: Was useful for a career in the military, government, or law. Bilingual inscriptions indicate the everyday interpenetration of the two languages. Latin and Greek's mutual linguistic and cultural influence is a complex topic. Latin words incorporated into Greek were very common by the early imperial era, especially for military, administration, and trade and commerce matters. Greek grammar, literature, poetry and philosophy shaped Latin language and culture. There
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