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110-475: The main town and the site of its municipal council is the town of Tønder . It consists of six old municipalities, the former Tønder municipality (1970-2006) with 12,706 inhabitants in January 2000 on 184.59 square kilometers among them. The municipality was created in 1970 as the result of a kommunalreform ("Municipal Reform") that merged a number of existing parishes : On 1 January 2007, Tønder municipality

220-434: A battery . In this application, the charging of the battery deflects the needle to one side of the scale (commonly, the right side) and the discharging of the battery deflects the needle to the other side. A special type of zero-center ammeter for testing high currents in cars and trucks has a pivoted bar magnet that moves the pointer, and a fixed bar magnet to keep the pointer centered with no current. The magnetic field around

330-422: A current transformer may be used to provide a convenient small current to drive an instrument, such as 1 or 5 amperes, while the primary current to be measured is much larger (up to thousands of amperes). The use of a shunt or current transformer also allows convenient location of the indicating meter without the need to run heavy circuit conductors up to the point of observation. In the case of alternating current,

440-429: A resistor called a shunt is placed in parallel with the meter. The resistances of shunts is in the integer to fractional milliohm range. Nearly all of the current flows through the shunt, and only a small fraction flows through the meter. This allows the meter to measure large currents. Traditionally, the meter used with a shunt has a full-scale deflection (FSD) of 50 mV , so shunts are typically designed to produce

550-609: A Central Office, located at the Prussian Geodetic Institute, whose management was entrusted to Johann Jacob Baeyer. Baeyer's goal was a new determination of anomalies in the shape of the Earth using precise triangulations, combined with gravity measurements. This involved determining the geoid by means of gravimetric and leveling measurements, in order to deduce the exact knowledge of the terrestrial spheroid while taking into account local variations. To resolve this problem, it

660-603: A change of about 200 parts per million from the original value of exactly 40 000  km , which also includes improvements in the accuracy of measuring the circumference. Metre is the standard spelling of the metric unit for length in nearly all English-speaking nations, the exceptions being the United States and the Philippines which use meter . Measuring devices (such as ammeter , speedometer ) are spelled "-meter" in all variants of English. The suffix "-meter" has

770-473: A determination of the size of the Earth, then considered as a sphere, by Jean Picard through triangulation of Paris meridian . In 1671, Jean Picard also measured the length of a seconds pendulum at Paris Observatory and proposed this unit of measurement to be called the astronomical radius (French: Rayon Astronomique ). In 1675, Tito Livio Burattini suggested the term metro cattolico meaning universal measure for this unit of length, but then it

880-408: A fixed permanent magnet to provide the restoring force. An electrodynamic ammeter uses an electromagnet instead of the permanent magnet of the d'Arsonval movement. This instrument can respond to both alternating and direct current and also indicates true RMS for AC. See wattmeter for an alternative use for this instrument. Moving iron ammeters use a piece of iron which moves when acted upon by

990-717: A make-before-break switch. It also avoids any inaccuracy because of contact resistance. In the figure, assuming for example, a movement with a full-scale voltage of 50 mV and desired current ranges of 10 mA, 100 mA, and 1 A, the resistance values would be: R1 = 4.5 ohms, R2 = 0.45 ohm, R3 = 0.05 ohm. And if the movement resistance is 1000 ohms, for example, R1 must be adjusted to 4.525 ohms. Switched shunts are rarely used for currents above 10 amperes. Zero-center ammeters are used for applications requiring current to be measured with both polarities, common in scientific and industrial equipment. Zero-center ammeters are also commonly placed in series with

1100-905: A metre "too short" compared to a more general definition taken from the average of a large number of arcs. As early as 1861, Johann Jacob Baeyer sent a memorandum to the King of Prussia recommending international collaboration in Central Europe with the aim of determining the shape and dimensions of the Earth. At the time of its creation, the association had sixteen member countries: Austrian Empire , Kingdom of Belgium , Denmark , seven German states ( Grand Duchy of Baden , Kingdom of Bavaria , Kingdom of Hanover , Mecklenburg , Kingdom of Prussia , Kingdom of Saxony , Saxe-Coburg and Gotha ), Kingdom of Italy , Netherlands , Russian Empire (for Poland ), United Kingdoms of Sweden and Norway , as well as Switzerland . The Central European Arc Measurement created

1210-625: A new value for the flattening of the Earth, which he determinated as ⁠ 1 / 299.15 ⁠ . He also devised a new instrument for measuring gravitational acceleration which was first used in Switzerland by Emile Plantamour , Charles Sanders Peirce , and Isaac-Charles Élisée Cellérier (8.01.1818 – 2.10.1889), a Genevan mathematician soon independently discovered a mathematical formula to correct systematic errors of this device which had been noticed by Plantamour and Adolphe Hirsch . This allowed Friedrich Robert Helmert to determine

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1320-687: A part of the Survey of the Coast. He compared various units of length used in the United States at that time and measured coefficients of expansion to assess temperature effects on the measurements. In 1832, Carl Friedrich Gauss studied the Earth's magnetic field and proposed adding the second to the basic units of the metre and the kilogram in the form of the CGS system ( centimetre , gram , second). In 1836, he founded

1430-542: A prototype metre bar, distribute national metric prototypes, and maintain comparisons between them and non-metric measurement standards. The organisation distributed such bars in 1889 at the first General Conference on Weights and Measures (CGPM: Conférence Générale des Poids et Mesures ), establishing the International Prototype Metre as the distance between two lines on a standard bar composed of an alloy of 90% platinum and 10% iridium , measured at

1540-487: A remarkably accurate value of ⁠ 1 / 298.3 ⁠ for the flattening of the Earth when he proposed his ellipsoid of reference in 1901. This was also the result of the Metre Convention of 1875, when the metre was adopted as an international scientific unit of length for the convenience of continental European geodesists following the example of Ferdinand Rudolph Hassler . In 1790, one year before it

1650-644: A series of international conferences was held to devise new metric standards. When a conflict broke out regarding the presence of impurities in the metre-alloy of 1874, a member of the Preparatory Committee since 1870 and Spanish representative at the Paris Conference in 1875, Carlos Ibáñez e Ibáñez de Ibero intervened with the French Academy of Sciences to rally France to the project to create an International Bureau of Weights and Measures equipped with

1760-553: A standard metre made in Paris to the United States in October 1805. He designed a baseline apparatus which instead of bringing different bars in actual contact during measurements, used only one bar calibrated on the metre and optical contact. Thus the metre became the unit of length for geodesy in the United States. In 1830, Hassler became head of the Office of Weights and Measures, which became

1870-558: A standard of length. By 1925, interferometry was in regular use at the BIPM. However, the International Prototype Metre remained the standard until 1960, when the eleventh CGPM defined the metre in the new International System of Units (SI) as equal to 1 650 763 .73   wavelengths of the orange - red emission line in the electromagnetic spectrum of the krypton-86 atom in vacuum . To further reduce uncertainty,

1980-423: A standard would be independent of any changes in the dimensions of the earth, and should be adopted by those who expect their writings to be more permanent than that body. Charles Sanders Peirce 's work promoted the advent of American science at the forefront of global metrology. Alongside his intercomparisons of artifacts of the metre and contributions to gravimetry through improvement of reversible pendulum, Peirce

2090-532: A time interval of ⁠ 1 / 299 792 458 ⁠ of a second , where the second is defined by a hyperfine transition frequency of caesium . The metre was originally defined in 1791 by the French National Assembly as one ten-millionth of the distance from the equator to the North Pole along a great circle , so the Earth's polar circumference is approximately 40 000  km . In 1799,

2200-473: A voltage drop of 50 mV when carrying their full rated current. To make a multi-range ammeter, a selector switch can be used to connect one of a number of shunts across the meter. It must be a make-before-break switch to avoid damaging current surges through the meter movement when switching ranges. A better arrangement is the Ayrton shunt or universal shunt, invented by William E. Ayrton , which does not require

2310-478: Is currently one limiting factor in laboratory realisations of the metre, and it is several orders of magnitude poorer than that of the second, based upon the caesium fountain atomic clock ( U = 5 × 10 ). Consequently, a realisation of the metre is usually delineated (not defined) today in labs as 1 579 800 .762 042 (33) wavelengths of helium–neon laser light in vacuum, the error stated being only that of frequency determination. This bracket notation expressing

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2420-797: Is derived from the Proto-Indo-European root *meh₁- 'to measure'. The motto ΜΕΤΡΩ ΧΡΩ ( metro chro ) in the seal of the International Bureau of Weights and Measures (BIPM), which was a saying of the Greek statesman and philosopher Pittacus of Mytilene and may be translated as "Use measure!", thus calls for both measurement and moderation. The use of the word metre (for the French unit mètre ) in English began at least as early as 1797. Galileo discovered gravitational acceleration to explain

2530-402: Is generally represented by letter 'A' in a circuit. The relation between electric current, magnetic fields and physical forces was first noted by Hans Christian Ørsted in 1820, who observed a compass needle was deflected from pointing North when a current flowed in an adjacent wire. The tangent galvanometer was used to measure currents using this effect, where the restoring force returning

2640-404: Is no longer used to describe electrical instruments. The word makeup is similar to that of rheostat (also coined by Wheatstone) which was a device used to adjust the current in a circuit. Rheostat is a historical term for a variable resistance, though unlike rheoscope may still be encountered. Some instruments are panel meters , meant to be mounted on some sort of control panel . Of these,

2750-419: Is often used for probe connections. Ammeters must be connected in series with the circuit to be measured. For relatively small currents (up to a few amperes), an ammeter may pass the whole of the circuit current. For larger direct currents, a shunt resistor carries most of the circuit current and a small, accurately-known fraction of the current passes through the meter movement. For alternating current circuits,

2860-427: Is proportional to the electrical charge transferred with that current. These can be used for metering energy (the charge needs to be multiplied by the voltage to give energy) or for estimating the charge of a battery or capacitor . A picoammeter, or pico ammeter, measures very low electric current, usually from the picoampere range at the lower end to the milliampere range at the upper end. Picoammeters are used where

2970-553: Is thus sensitive to which polarity it is connected in; most are marked with a positive terminal, but some have centre-zero mechanisms and can display currents in either direction. A moving coil meter indicates the average (mean) of a varying current through it, which is zero for AC. For this reason, moving-coil meters are only usable directly for DC, not AC. This type of meter movement is extremely common for both ammeters and other meters derived from them, such as voltmeters and ohmmeters . Moving magnet ammeters operate on essentially

3080-418: Is very low and excess current would flow. Ammeters are designed for a low voltage drop across their terminals, much less than one volt; the extra circuit losses produced by the ammeter are called its "burden" on the measured circuit(I). Ordinary Weston-type meter movements can measure only milliamperes at most, because the springs and practical coils can carry only limited currents. To measure larger currents,

3190-565: The British Crown . Instead of the seconds pendulum method, the commission of the French Academy of Sciences – whose members included Borda , Lagrange , Laplace , Monge , and Condorcet – decided that the new measure should be equal to one ten-millionth of the distance from the North Pole to the Equator , determined through measurements along the meridian passing through Paris. Apart from

3300-579: The Committee Meter in the United States and served as standard of length in the United States Coast Survey until 1890. According to geodesists, these standards were secondary standards deduced from the Toise of Peru. In Europe, except Spain, surveyors continued to use measuring instruments calibrated on the Toise of Peru. Among these, the toise of Bessel and the apparatus of Borda were respectively

3410-652: The European Charter for Regional or Minority Languages . This article about a location in the Region of Southern Denmark is a stub . You can help Misplaced Pages by expanding it . Meter The metre (or meter in US spelling ; symbol: m ) is the base unit of length in the International System of Units (SI). Since 2019, the metre has been defined as the length of the path travelled by light in vacuum during

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3520-622: The Municipal Reform of 2007 . Tønder Municipality is home to the only officially recognised ethno-linguistic minority of Denmark proper , the North Schleswig Germans . This minority makes up about 6% of the total population of the municipalities of Aabenraa/Apenrade , Haderslev/Hadersleben , Sønderborg/Sonderburg and Tønder/Tondern. In these four municipalities, the German minority enjoys certain linguistic rights in accordance with

3630-628: The North Sea and the Baltic Sea in the north. In his mind, the cooperation of all the States of Central Europe could open the field to scientific research of the highest interest, research that each State, taken in isolation, was not able to undertake. Spain and Portugal joined the European Arc Measurement in 1866. French Empire hesitated for a long time before giving in to the demands of

3740-457: The RMS value of any AC waveform applied. Moving iron ammeters are commonly used to measure current in industrial frequency AC circuits. In a hot-wire ammeter, a current passes through a wire which expands as it heats. Although these instruments have slow response time and low accuracy, they were sometimes used in measuring radio-frequency current. These also measure true RMS for an applied AC. In much

3850-490: The luminiferous aether in 1905, just as Newton had questioned Descartes' Vortex theory in 1687 after Jean Richer 's pendulum experiment in Cayenne , French Guiana . Furthermore, special relativity changed conceptions of time and mass , while general relativity changed that of space . According to Newton, space was Euclidean , infinite and without boundaries and bodies gravitated around each other without changing

3960-514: The 17th CGPM in 1983 replaced the definition of the metre with its current definition, thus fixing the length of the metre in terms of the second and the speed of light : This definition fixed the speed of light in vacuum at exactly 299 792 458  metres per second (≈ 300 000  km/s or ≈1.079 billion km/hour ). An intended by-product of the 17th CGPM's definition was that it enabled scientists to compare lasers accurately using frequency, resulting in wavelengths with one-fifth

4070-602: The 1860s, at the initiative of Carlos Ibáñez e Ibáñez de Ibero who would become the first president of both the International Geodetic Association and the International Committee for Weights and Measure , to remeasure the arc of meridian from Dunkirk to Formentera and to extend it from Shetland to the Sahara . This did not pave the way to a new definition of the metre because it was known that

4180-580: The 19th century by the modernist impetus of Muhammad Ali who founded in Sabtieh, Boulaq district, in Cairo an Observatory which he was keen to keep in harmony with the progress of this science still in progress. In 1858, a Technical Commission was set up to continue, by adopting the procedures instituted in Europe, the cadastre work inaugurated under Muhammad Ali. This Commission suggested to Viceroy Mohammed Sa'id Pasha

4290-640: The Association, which asked the French geodesists to take part in its work. It was only after the Franco-Prussian War , that Charles-Eugène Delaunay represented France at the Congress of Vienna in 1871. In 1874, Hervé Faye was appointed member of the Permanent Commission which was presided by Carlos Ibáñez e Ibáñez de Ibero. The International Geodetic Association gained global importance with

4400-619: The Central European Arc Measurement (German: Mitteleuropaïsche Gradmessung ) on the initiative of Johann Jacob Baeyer in 1863, and by that of the International Meteorological Organisation whose president, the Swiss meteorologist and physicist, Heinrich von Wild would represent Russia at the International Committee for Weights and Measures (CIPM). In 1834, Hassler, measured at Fire Island

4510-586: The Earth was the unit to which all celestial distances were to be referred. Indeed, Earth proved to be an oblate spheroid through geodetic surveys in Ecuador and Lapland and this new data called into question the value of Earth radius as Picard had calculated it. After the Anglo-French Survey , the French Academy of Sciences commissioned an expedition led by Jean Baptiste Joseph Delambre and Pierre Méchain , lasting from 1792 to 1798, which measured

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4620-721: The Equator . When the final result was known, a bar whose length was closest to the meridional definition of the metre was selected and placed in the National Archives on 22 June 1799 (4 messidor An VII in the Republican calendar) as a permanent record of the result. In 1816, Ferdinand Rudolph Hassler was appointed first Superintendent of the Survey of the Coast . Trained in geodesy in Switzerland, France and Germany , Hassler had brought

4730-424: The French Academy of Sciences a report drafted by Otto Wilhelm von Struve , Heinrich von Wild , and Moritz von Jacobi , whose theorem has long supported the assumption of an ellipsoid with three unequal axes for the figure of the Earth, inviting his French counterpart to undertake joint action to ensure the universal use of the metric system in all scientific work. In the 1870s and in light of modern precision,

4840-638: The German born, Swiss astronomer, Adolphe Hirsch conformed to the opinion of Italy and Spain to create, in spite of French reluctance, the International Bureau of Weights and Measures in France as a permanent institution at the disadventage of the Conservatoire national des Arts et Métiers . At that time, units of measurement were defined by primary standards , and unique artifacts made of different alloys with distinct coefficients of expansion were

4950-511: The Magnetischer Verein, the first international scientific association, in collaboration with Alexander von Humboldt and Wilhelm Edouard Weber . The coordination of the observation of geophysical phenomena such as the Earth's magnetic field, lightning and gravity in different points of the globe stimulated the creation of the first international scientific associations. The foundation of the Magnetischer Verein would be followed by that of

5060-531: The North Pole to the Equator was then extrapolated from the measurement of the Paris meridian arc between Dunkirk and Barcelona and was determined as 5 130 740  toises. As the metre had to be equal to one ten-millionth of this distance, it was defined as 0.513074 toise or 3 feet and 11.296 lines of the Toise of Peru, which had been constructed in 1735 for the French Geodesic Mission to

5170-718: The Spanish standard had been compared with Borda 's double-toise N° 1, which served as a comparison module for the measurement of all geodesic bases in France, and was also to be compared to the Ibáñez apparatus. In 1954, the connection of the southerly extension of the Struve Geodetic Arc with an arc running northwards from South Africa through Egypt would bring the course of a major meridian arc back to land where Eratosthenes had founded geodesy . Seventeen years after Bessel calculated his ellipsoid of reference , some of

5280-573: The Swiss physicist Charles-Edouard Guillaume , was granted the Nobel Prize in Physics in 1920. Guillaume's Nobel Prize marked the end of an era in which metrology was leaving the field of geodesy to become a technological application of physics . In 1921, the Nobel Prize in Physics was awarded to another Swiss scientist, Albert Einstein , who following Michelson–Morley experiment had questioned

5390-501: The Toise of Peru, one for Friedrich Georg Wilhelm von Struve , a second for Heinrich Christian Schumacher in 1821 and a third for Friedrich Bessel in 1823. In 1831, Henri-Prudence Gambey also realized a copy of the Toise of Peru which was kept at Altona Observatory . In the second half of the 19th century, the creation of the International Geodetic Association would mark the adoption of new scientific methods. It then became possible to accurately measure parallel arcs, since

5500-622: The accession of Chile , Mexico and Japan in 1888; Argentina and United-States in 1889; and British Empire in 1898. The convention of the International Geodetic Association expired at the end of 1916. It was not renewed due to the First World War . However, the activities of the International Latitude Service were continued through an Association Géodesique réduite entre États neutres thanks to

5610-441: The circuit being measured. Instruments used to measure smaller currents, in the milliampere or microampere range, are designated as milliammeters or microammeters . Early ammeters were laboratory instruments that relied on the Earth's magnetic field for operation. By the late 19th century, improved instruments were designed which could be mounted in any position and allowed accurate measurements in electric power systems . It

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5720-459: The coil and induces a magnetic field in both vanes, the vanes repel each other and the moving vane deflects against the restoring force provided by fine helical springs. The deflection of a moving iron meter is proportional to the square of the current. Consequently, such meters would normally have a nonlinear scale, but the iron parts are usually modified in shape to make the scale fairly linear over most of its range. Moving iron instruments indicate

5830-460: The creation of the Office of Standard Weights and Measures in 1830. In continental Europe , Napoleonic Wars fostered German nationalism which later led to unification of Germany in 1871. Meanwhile, most European countries had adopted the metre. In the 1870s, German Empire played a pivotal role in the unification of the metric system through the European Arc Measurement but its overwhelming influence

5940-577: The creation of the Office of Standard Weights and Measures as an office within the Coast Survey contributed to the introduction of the Metric Act of 1866 allowing the use of the metre in the United States, and preceded the choice of the metre as international scientific unit of length and the proposal by the European Arc Measurement (German: Europäische Gradmessung ) to establish a "European international bureau for weights and measures". In 1867 at

6050-602: The current being measured is below the limits of sensitivity of other devices, such as multimeters . Most picoammeters use a "virtual short" technique and have several different measurement ranges that must be switched between to cover multiple decades of measurement . Other modern picoammeters use log compression and a "current sink" method that eliminates range switching and associated voltage spikes . Special design and usage considerations must be observed in order to reduce leakage current which may swamp measurements such as special insulators and driven shields . Triaxial cable

6160-406: The data available at the time, Ritter came to the conclusion that the problem was only resolved in an approximate manner, the data appearing too scant, and for some affected by vertical deflections , in particular the latitude of Montjuïc in the French meridian arc which determination had also been affected in a lesser proportion by systematic errors of the repeating circle . The definition of

6270-418: The difference in longitude between their ends could be determined thanks to the invention of the electrical telegraph . Furthermore, advances in metrology combined with those of gravimetry have led to a new era of geodesy . If precision metrology had needed the help of geodesy, the latter could not continue to prosper without the help of metrology. It was then necessary to define a single unit to express all

6380-477: The digital display is calibrated to display the current through the shunt. Such instruments are often calibrated to indicate the RMS value for a sine wave only, but many designs will indicate true RMS within limitations of the wave crest factor . There is also a range of devices referred to as integrating ammeters. In these ammeters the current is summed over time, giving as a result the product of current and time; which

6490-607: The distance between a belfry in Dunkirk and Montjuïc castle in Barcelona at the longitude of the Paris Panthéon . When the length of the metre was defined as one ten-millionth of the distance from the North Pole to the Equator , the flattening of the Earth ellipsoid was assumed to be ⁠ 1 / 334 ⁠ . In 1841, Friedrich Wilhelm Bessel using the method of least squares calculated from several arc measurements

6600-586: The efforts of H.G. van de Sande Bakhuyzen and Raoul Gautier (1854–1931), respectively directors of Leiden Observatory and Geneva Observatory . After the French Revolution , Napoleonic Wars led to the adoption of the metre in Latin America following independence of Brazil and Hispanic America , while the American Revolution prompted the foundation of the Survey of the Coast in 1807 and

6710-442: The electromagnetic force of a fixed coil of wire. The moving-iron meter was invented by Austrian engineer Friedrich Drexler in 1884. This type of meter responds to both direct and alternating currents (as opposed to the moving-coil ammeter, which works on direct current only). The iron element consists of a moving vane attached to a pointer, and a fixed vane, surrounded by a coil. As alternating or direct current flows through

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6820-544: The error is explained in the article on measurement uncertainty . Practical realisation of the metre is subject to uncertainties in characterising the medium, to various uncertainties of interferometry, and to uncertainties in measuring the frequency of the source. A commonly used medium is air, and the National Institute of Standards and Technology (NIST) has set up an online calculator to convert wavelengths in vacuum to wavelengths in air. As described by NIST, in air,

6930-456: The fall of bodies at the surface of the Earth. He also observed the regularity of the period of swing of the pendulum and that this period depended on the length of the pendulum. Kepler's laws of planetary motion served both to the discovery of Newton's law of universal gravitation and to the determination of the distance from Earth to the Sun by Giovanni Domenico Cassini . They both also used

7040-566: The first baseline of the Survey of the Coast, shortly before Louis Puissant declared to the French Academy of Sciences in 1836 that Jean Baptiste Joseph Delambre and Pierre Méchain had made errors in the meridian arc measurement , which had been used to determine the length of the metre. Errors in the method of calculating the length of the Paris meridian were taken into account by Bessel when he proposed his reference ellipsoid in 1841. Egyptian astronomy has ancient roots which were revived in

7150-437: The flat, horizontal or vertical type is often called an edgewise meter . The D'Arsonval galvanometer is a moving coil ammeter. It uses magnetic deflection , where current passing through a coil placed in the magnetic field of a permanent magnet causes the coil to move. The modern form of this instrument was developed by Edward Weston , and uses two spiral springs to provide the restoring force. The uniform air gap between

7260-458: The idea of buying geodetic devices which were ordered in France. While Mahmud Ahmad Hamdi al-Falaki was in charge, in Egypt, of the direction of the work of the general map, the viceroy entrusted to Ismail Mustafa al-Falaki the study, in Europe, of the precision apparatus calibrated against the metre intended to measure the geodesic bases and already built by Jean Brunner in Paris. Ismail Mustafa had

7370-409: The iron core and the permanent magnet poles make the deflection of the meter linearly proportional to current. These meters have linear scales. Basic meter movements can have full-scale deflection for currents from about 25  microamperes to 10  milliamperes . Because the magnetic field is polarised, the meter needle acts in opposite directions for each direction of current. A DC ammeter

7480-400: The legal basis of units of length. A wrought iron ruler, the Toise of Peru, also called Toise de l'Académie , was the French primary standard of the toise, and the metre was officially defined by an artifact made of platinum kept in the National Archives. Besides the latter, another platinum and twelve iron standards of the metre were made by Étienne Lenoir in 1799. One of them became known as

7590-421: The length of a metre in the 1790s was founded upon Arc measurements in France and Peru with a definition that it was to be 1/40 millionth of the circumference of the earth measured through the poles. Such were the inaccuracies of that period that within a matter of just a few years more reliable measurements would have given a different value for the definition of this international standard. That does not invalidate

7700-465: The length of the path travelled by light in vacuum in ⁠ 1 / 299 792 458 ⁠ of a second . After the 2019 revision of the SI , this definition was rephrased to include the definition of a second in terms of the caesium frequency Δ ν Cs . This series of amendments did not alter the size of the metre significantly – today Earth's polar circumference measures 40 007 .863 km ,

7810-435: The main circuit into a smaller current more suited to a meter. Some designs of transformer are able to directly convert the magnetic field around a conductor into a small AC current, typically either 1 A or 5 A at full rated current, that can be easily read by a meter. In a similar way, accurate AC/DC non-contact ammeters have been constructed using Hall effect magnetic field sensors. A portable hand-held clamp-on ammeter

7920-592: The main references for geodesy in Prussia and in France . These measuring devices consisted of bimetallic rulers in platinum and brass or iron and zinc fixed together at one extremity to assess the variations in length produced by any change in temperature. The combination of two bars made of two different metals allowed to take thermal expansion into account without measuring the temperature. A French scientific instrument maker, Jean Nicolas Fortin , had made three direct copies of

8030-452: The meantime, the commission of the French Academy of Sciences calculated a provisional value from older surveys of 443.44 lignes. This value was set by legislation on 7 April 1795. In 1799, a commission including Johan Georg Tralles , Jean Henri van Swinden , Adrien-Marie Legendre and Jean-Baptiste Delambre calculated the distance from Dunkirk to Barcelona using the data of the triangulation between these two towns and determined

8140-536: The measurements of terrestrial arcs and all determinations of the gravitational acceleration by means of pendulum. In 1866, the most important concern was that the Toise of Peru, the standard of the toise constructed in 1735 for the French Geodesic Mission to the Equator , might be so much damaged that comparison with it would be worthless, while Bessel had questioned the accuracy of copies of this standard belonging to Altona and Koenigsberg Observatories, which he had compared to each other about 1840. This assertion

8250-680: The measuring devices designed by Borda and used for this survey also raised hopes for a more accurate determination of the length of this meridian arc. The task of surveying the Paris meridian arc took more than six years (1792–1798). The technical difficulties were not the only problems the surveyors had to face in the convulsed period of the aftermath of the French Revolution: Méchain and Delambre, and later Arago , were imprisoned several times during their surveys, and Méchain died in 1804 of yellow fever, which he contracted while trying to improve his original results in northern Spain. In

8360-462: The melting point of ice. The comparison of the new prototypes of the metre with each other involved the development of special measuring equipment and the definition of a reproducible temperature scale. The BIPM's thermometry work led to the discovery of special alloys of iron–nickel, in particular invar , whose practically negligible coefficient of expansion made it possible to develop simpler baseline measurement methods, and for which its director,

8470-405: The meridian arcs the German astronomer had used for his calculation had been enlarged. This was a very important circumstance because the influence of errors due to vertical deflections was minimized in proportion to the length of the meridian arcs: the longer the meridian arcs, the more precise the image of the Earth ellipsoid would be. After Struve Geodetic Arc measurement, it was resolved in

8580-428: The metre in any way but highlights the fact that continuing improvements in instrumentation made better measurements of the earth’s size possible. It was well known that by measuring the latitude of two stations in Barcelona , Méchain had found that the difference between these latitudes was greater than predicted by direct measurement of distance by triangulation and that he did not dare to admit this inaccuracy. This

8690-539: The metre in replacement of the toise of Bessel, the creation of an International Metre Commission, and the foundation of a World institute for the comparison of geodetic standards, the first step towards the creation of the International Bureau of Weights and Measures . Hassler's metrological and geodetic work also had a favourable response in Russia. In 1869, the Saint Petersburg Academy of Sciences sent to

8800-404: The metre was redefined in terms of a prototype metre bar, the bar used was changed in 1889, and in 1960 the metre was redefined in terms of a certain number of wavelengths of a certain emission line of krypton-86 . The current definition was adopted in 1983 and modified slightly in 2002 to clarify that the metre is a measure of proper length . From 1983 until 2019, the metre was formally defined as

8910-402: The number of wavelengths of laser light of one of the standard types that fit into the length, and converting the selected unit of wavelength to metres. Three major factors limit the accuracy attainable with laser interferometers for a length measurement: Of these, the last is peculiar to the interferometer itself. The conversion of a length in wavelengths to a length in metres is based upon

9020-455: The obvious consideration of safe access for French surveyors, the Paris meridian was also a sound choice for scientific reasons: a portion of the quadrant from Dunkirk to Barcelona (about 1000 km, or one-tenth of the total) could be surveyed with start- and end-points at sea level, and that portion was roughly in the middle of the quadrant, where the effects of the Earth's oblateness were expected not to have to be accounted for. Improvements in

9130-414: The pointer to the zero position was provided by the Earth's magnetic field. This made these instruments usable only when aligned with the Earth's field. Sensitivity of the instrument was increased by using additional turns of wire to multiply the effect – the instruments were called "multipliers". The word rheoscope as a detector of electrical currents was coined by Sir Charles Wheatstone about 1840 but

9240-552: The portion of the distance from the North Pole to the Equator it represented. Pierre Méchain's and Jean-Baptiste Delambre's measurements were combined with the results of the Spanish-French geodetic mission and a value of ⁠ 1 / 334 ⁠ was found for the Earth's flattening. However, French astronomers knew from earlier estimates of the Earth's flattening that different meridian arcs could have different lengths and that their curvature could be irregular. The distance from

9350-421: The relation Ammeter An ammeter (abbreviation of ampere meter ) is an instrument used to measure the current in a circuit . Electric currents are measured in amperes (A), hence the name. For direct measurement, the ammeter is connected in series with the circuit in which the current is to be measured. An ammeter usually has low resistance so that it does not cause a significant voltage drop in

9460-558: The same Greek origin as the unit of length. The etymological roots of metre can be traced to the Greek verb μετρέω ( metreo ) ((I) measure, count or compare) and noun μέτρον ( metron ) (a measure), which were used for physical measurement, for poetic metre and by extension for moderation or avoiding extremism (as in "be measured in your response"). This range of uses is also found in Latin ( metior, mensura ), French ( mètre, mesure ), English and other languages. The Greek word

9570-401: The same length, confirming an hypothesis of Jean Le Rond d'Alembert . He also proposed an ellipsoid with three unequal axes. In 1860, Elie Ritter, a mathematician from Geneva , using Schubert's data computed that the Earth ellipsoid could rather be a spheroid of revolution accordingly to Adrien-Marie Legendre 's model. However, the following year, resuming his calculation on the basis of all

9680-434: The same principle as moving coil, except that the coil is mounted in the meter case, and a permanent magnet moves the needle. Moving magnet Ammeters are able to carry larger currents than moving coil instruments, often several tens of amperes, because the coil can be made of thicker wire and the current does not have to be carried by the hairsprings. Indeed, some Ammeters of this type do not have hairsprings at all, instead using

9790-462: The same way as the analogue ammeter formed the basis for a wide variety of derived meters, including voltmeters, the basic mechanism for a digital meter is a digital voltmeter mechanism, and other types of meter are built around this. Digital ammeter designs use a shunt resistor to produce a calibrated voltage proportional to the current flowing. This voltage is then measured by a digital voltmeter, through use of an analog-to-digital converter (ADC);

9900-454: The scientific means necessary to redefine the units of the metric system according to the progress of sciences. The Metre Convention ( Convention du Mètre ) of 1875 mandated the establishment of a permanent International Bureau of Weights and Measures (BIPM: Bureau International des Poids et Mesures ) to be located in Sèvres , France. This new organisation was to construct and preserve

10010-630: The second General Conference of the International Association of Geodesy held in Berlin, the question of an international standard unit of length was discussed in order to combine the measurements made in different countries to determine the size and shape of the Earth. According to a preliminary proposal made in Neuchâtel the precedent year, the General Conference recommended the adoption of

10120-433: The standard both for the unit of length and for the second. These two quantities could then be used to define the unit of mass. About the unit of length he wrote: In the present state of science the most universal standard of length which we could assume would be the wave length in vacuum of a particular kind of light, emitted by some widely diffused substance such as sodium, which has well-defined lines in its spectrum. Such

10230-479: The structure of space. Einstein's theory of gravity states, on the contrary, that the mass of a body has an effect on all other bodies while modifying the structure of space. A massive body induces a curvature of the space around it in which the path of light is inflected, as was demonstrated by the displacement of the position of a star observed near the Sun during an eclipse in 1919. In 1873, James Clerk Maxwell suggested that light emitted by an element be used as

10340-451: The task to carry out the experiments necessary for determining the expansion coefficients of the two platinum and brass bars, and to compare the Egyptian standard with a known standard. The Spanish standard designed by Carlos Ibáñez e Ibáñez de Ibero and Frutos Saavedra Meneses was chosen for this purpose, as it had served as a model for the construction of the Egyptian standard. In addition,

10450-439: The theoretical definition of the metre had been inaccessible and misleading at the time of Delambre and Mechain arc measurement, as the geoid is a ball, which on the whole can be assimilated to an oblate spheroid , but which in detail differs from it so as to prohibit any generalization and any extrapolation from the measurement of a single meridian arc. In 1859, Friedrich von Schubert demonstrated that several meridians had not

10560-437: The uncertainties in characterising the medium are dominated by errors in measuring temperature and pressure. Errors in the theoretical formulas used are secondary. By implementing a refractive index correction such as this, an approximate realisation of the metre can be implemented in air, for example, using the formulation of the metre as 1 579 800 .762 042 (33) wavelengths of helium–neon laser light in vacuum, and converting

10670-570: The uncertainty involved in the direct comparison of wavelengths, because interferometer errors were eliminated. To further facilitate reproducibility from lab to lab, the 17th CGPM also made the iodine-stabilised helium–neon laser "a recommended radiation" for realising the metre. For the purpose of delineating the metre, the BIPM currently considers the HeNe laser wavelength, λ HeNe , to be 632.991 212 58  nm with an estimated relative standard uncertainty ( U ) of 2.1 × 10 . This uncertainty

10780-427: The use of a current transformer also isolates the meter from the high voltage of the primary circuit. A shunt provides no such isolation for a direct-current ammeter, but where high voltages are used it may be possible to place the ammeter in the "return" side of the circuit which may be at low potential with respect to earth. Ammeters must not be connected directly across a voltage source since their internal resistance

10890-436: The wavelengths in vacuum to wavelengths in air. Air is only one possible medium to use in a realisation of the metre, and any partial vacuum can be used, or some inert atmosphere like helium gas, provided the appropriate corrections for refractive index are implemented. The metre is defined as the path length travelled by light in a given time, and practical laboratory length measurements in metres are determined by counting

11000-408: The wire carrying current to be measured deflects the moving magnet. Since the ammeter shunt has a very low resistance, mistakenly wiring the ammeter in parallel with a voltage source will cause a short circuit , at best blowing a fuse, possibly damaging the instrument and wiring, and exposing an observer to injury. In AC circuits, a current transformer can be used to convert the large current in

11110-409: Was a way to determine the figure of the Earth , whose crucial parameter was the flattening of the Earth ellipsoid . In the 18th century, in addition of its significance for cartography , geodesy grew in importance as a means of empirically demonstrating the theory of gravity , which Émilie du Châtelet promoted in France in combination with Leibniz's mathematical work and because the radius of

11220-508: Was determined astronomically. Bayer proposed to remeasure ten arcs of meridians and a larger number of arcs of parallels, to compare the curvature of the meridian arcs on the two slopes of the Alps , in order to determine the influence of this mountain range on vertical deflection . Baeyer also planned to determine the curvature of the seas, the Mediterranean Sea and Adriatic Sea in the south,

11330-429: Was discovered that the length of a seconds pendulum varies from place to place. Christiaan Huygens found out the centrifugal force which explained variations of gravitational acceleration depending on latitude. He also mathematically formulated the link between the length of the simple pendulum and gravitational acceleration. According to Alexis Clairaut , the study of variations in gravitational acceleration

11440-483: Was enlarged as the result of Kommunalreformen ("The Municipal Reform" of 2007) when the Bredebro , Højer , Løgumkloster , Nørre-Rangstrup (without Bevtoft Parish ), and Skærbæk municipalities were merged into the new Tønder municipality. Tønder's municipal council consists of 31 members, elected every four years. The municipal council has nine political committees. Below are the municipal councils elected since

11550-486: Was later explained by clearance in the central axis of the repeating circle causing wear and consequently the zenith measurements contained significant systematic errors. Polar motion predicted by Leonhard Euler and later discovered by Seth Carlo Chandler also had an impact on accuracy of latitudes' determinations. Among all these sources of error, it was mainly an unfavourable vertical deflection that gave an inaccurate determination of Barcelona's latitude and

11660-714: Was mitigated by that of neutral states. While the German astronomer Wilhelm Julius Foerster , director of the Berlin Observatory and director of the German Weights and Measures Service boycotted the Permanent Committee of the International Metre Commission, along with the Russian and Austrian representatives, in order to promote the foundation of a permanent International Bureau of Weights and Measures ,

11770-467: Was necessary to carefully study considerable areas of land in all directions. Baeyer developed a plan to coordinate geodetic surveys in the space between the parallels of Palermo and Freetown Christiana ( Denmark ) and the meridians of Bonn and Trunz (German name for Milejewo in Poland ). This territory was covered by a triangle network and included more than thirty observatories or stations whose position

11880-452: Was particularly worrying, because when the primary Imperial yard standard had partially been destroyed in 1834, a new standard of reference was constructed using copies of the "Standard Yard, 1760", instead of the pendulum's length as provided for in the Weights and Measures Act of 1824, because the pendulum method proved unreliable. Nevertheless Ferdinand Rudolph Hassler 's use of the metre and

11990-467: Was the first to tie experimentally the metre to the wave length of a spectral line. According to him the standard length might be compared with that of a wave of light identified by a line in the solar spectrum . Albert Michelson soon took up the idea and improved it. In 1893, the standard metre was first measured with an interferometer by Albert A. Michelson , the inventor of the device and an advocate of using some particular wavelength of light as

12100-441: Was ultimately decided that the metre would be based on the Earth quadrant (a quarter of the Earth's circumference through its poles), Talleyrand proposed that the metre be the length of the seconds pendulum at a latitude of 45°. This option, with one-third of this length defining the foot , was also considered by Thomas Jefferson and others for redefining the yard in the United States shortly after gaining independence from

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