Brune Test
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Brune Test
The Brune test (named after the South African mathematician Otto Brune) is used to check the permissibility of the combination of two or more two-port networks (or quadripoles) in electrical circuit analysis. The test determines whether the network still meets the port condition after the two-ports have been combined. The test is a sufficient, but not necessary, test. Series-series connection To check if two two-port networks can be connected in a series-series configuration, first of all just the input ports are connected in series, a voltage is applied to the input and the open-circuit voltage is measured/calculated between the output terminals to be connected. If there is a voltage drop, the two-port networks cannot be combined in series. The same test is repeated from the output side of the two-port networks (series connection of the output ports, application of a voltage to the output, measurement/calculation of the open-circuit voltage between the input terminals to be ...
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Otto Brune
Otto Walter Heinrich Oscar Brune (10 January 1901 – 1982) undertook some key investigations into network synthesis at the Massachusetts Institute of Technology (MIT) where he graduated in 1929. His doctoral thesis was supervised by Wilhelm Cauer and Ernst Guillemin, who the latter ascribed to Brune the laying of "the mathematical foundation for modern Realization (systems), realization theory". Biography Brune was born in Bloemfontein, Orange Free State 10 January 1901 and grew up in Kimberley, Cape Colony. He enrolled in the University of Stellenbosch in 1918, receiving a Bachelor of Science in 1920 and Master of Science in 1921. He taught German, mathematics, and science at the Potchefstroom Gymnasium, Transvaal in 1922, and lectured in mathematics at the Transvaal University College, Pretoria 1923–1925. In 1926 Brune moved to the US to attend the Massachusetts Institute of Technology (MIT) under the sponsorship of the General Electric Company, receiving Batchelor and ...
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Two-port Network
A two-port network (a kind of four-terminal network or quadripole) is an electrical network ( circuit) or device with two ''pairs'' of terminals to connect to external circuits. Two terminals constitute a port if the currents applied to them satisfy the essential requirement known as the port condition: the electric current entering one terminal must equal the current emerging from the other terminal on the same port.Gray, §3.2, p. 172Jaeger, §10.5 §13.5 §13.8 The ports constitute interfaces where the network connects to other networks, the points where signals are applied or outputs are taken. In a two-port network, often port 1 is considered the input port and port 2 is considered the output port. It's used in mathematical circuit analysis. Application The two-port network model is used in mathematical circuit analysis techniques to isolate portions of larger circuits. A two-port network is regarded as a "black box" with its properties specified by a matrix of num ...
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Two-port Network
A two-port network (a kind of four-terminal network or quadripole) is an electrical network ( circuit) or device with two ''pairs'' of terminals to connect to external circuits. Two terminals constitute a port if the currents applied to them satisfy the essential requirement known as the port condition: the electric current entering one terminal must equal the current emerging from the other terminal on the same port.Gray, §3.2, p. 172Jaeger, §10.5 §13.5 §13.8 The ports constitute interfaces where the network connects to other networks, the points where signals are applied or outputs are taken. In a two-port network, often port 1 is considered the input port and port 2 is considered the output port. It's used in mathematical circuit analysis. Application The two-port network model is used in mathematical circuit analysis techniques to isolate portions of larger circuits. A two-port network is regarded as a "black box" with its properties specified by a matrix of num ...
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Quadripole
A two-port network (a kind of four-terminal network or quadripole) is an electrical network ( circuit) or device with two ''pairs'' of terminals to connect to external circuits. Two terminals constitute a port if the currents applied to them satisfy the essential requirement known as the port condition: the electric current entering one terminal must equal the current emerging from the other terminal on the same port.Gray, §3.2, p. 172Jaeger, §10.5 §13.5 §13.8 The ports constitute interfaces where the network connects to other networks, the points where signals are applied or outputs are taken. In a two-port network, often port 1 is considered the input port and port 2 is considered the output port. It's used in mathematical circuit analysis. Application The two-port network model is used in mathematical circuit analysis techniques to isolate portions of larger circuits. A two-port network is regarded as a "black box" with its properties specified by a matrix of num ...
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Network Analysis (electrical Circuits)
A network, in the context of electrical engineering and electronics, is a collection of interconnected components. Network analysis is the process of finding the voltages across, and the currents through, all network components. There are many techniques for calculating these values. However, for the most part, the techniques assume linear components. Except where stated, the methods described in this article are applicable only to ''linear'' network analysis. Definitions Equivalent circuits A useful procedure in network analysis is to simplify the network by reducing the number of components. This can be done by replacing physical components with other notional components that have the same effect. A particular technique might directly reduce the number of components, for instance by combining impedances in series. On the other hand, it might merely change the form into one in which the components can be reduced in a later operation. For instance, one might transform a ...
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Port (circuit Theory)
In electrical circuit theory, a port is a pair of terminals connecting an electrical network or circuit to an external circuit, as a point of entry or exit for electrical energy. A port consists of two nodes (terminals) connected to an outside circuit which meets the ''port condition'' - the currents flowing into the two nodes must be equal and opposite. The use of ports helps to reduce the complexity of circuit analysis. Many common electronic devices and circuit blocks, such as transistors, transformers, electronic filters, and amplifiers, are analyzed in terms of ports. In multiport network analysis, the circuit is regarded as a "black box" connected to the outside world through its ports. The ports are points where input signals are applied or output signals taken. Its behavior is completely specified by a matrix of parameters relating the voltage and current at its ports, so the internal makeup or design of the circuit need not be considered, or even known, in determi ...
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Necessity And Sufficiency
In logic and mathematics, necessity and sufficiency are terms used to describe a material conditional, conditional or implicational relationship between two Statement (logic), statements. For example, in the Conditional sentence, conditional statement: "If then ", is necessary for , because the Truth value, truth of is guaranteed by the truth of (equivalently, it is impossible to have without ). Similarly, is sufficient for , because being true always implies that is true, but not being true does not always imply that is not true. In general, a necessary condition is one that must be present in order for another condition to occur, while a sufficient condition is one that produces the said condition. The assertion that a statement is a "necessary ''and'' sufficient" condition of another means that the former statement is true if and only if the latter is true. That is, the two statements must be either simultaneously true, or simultaneously false. In ordinary English (a ...
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Brune Test Series-Series
Guillaume Marie-Anne Brune, 1st Count Brune (, 13 March 1764 – 2 August 1815) was a French military commander, Marshal of the Empire, and political figure who served during the French Revolutionary Wars and the Napoleonic Wars. Early life Brune was born in Brives (now called Brive-la-Gaillarde) in the province of Limousin, the son of Étienne Brune, a lawyer, and Jeanne Vielbains. He moved to Paris in 1785, studied law, and became a political journalist. He embraced the ideas of the French Revolution, and soon after its outbreak enlisted in the Parisian National Guard and joined the Cordeliers, eventually becoming a friend of Georges Danton. Revolutionary Wars Brune fought in Bordeaux during the Federalist revolts, and at Hondschoote and Fleurus. In 1793, Brune was appointed brigadier general and took part in the fighting of the 13 Vendémiaire (5 October 1795) against royalist insurgents in Paris. In 1796, he served under Napoleon Bonaparte in the Italian campaign, and w ...
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Open-circuit Voltage
Open-circuit voltage (abbreviated as OCV or VOC) is the difference of electrical potential between two terminals of an electronic device when disconnected from any circuit. There is no external load connected. No external electric current flows between the terminals. Alternatively, the open-circuit voltage may be thought of as the voltage that must be applied to a solar cell or a battery to stop the current. It is sometimes given the symbol Voc. In network analysis this voltage is also known as the Thévenin voltage. The open-circuit voltages of batteries and solar cells are often quoted under particular conditions (state-of-charge, illumination, temperature, etc.). The potential difference mentioned for batteries and cells is usually the open-circuit voltage. The value of the open-circuit voltage of a transducer equals its electromotive force (emf), which is the maximum potential difference it can produce when not providing current. Example Consider the circuit: If w ...
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Brune Test Parallel Parallel
Guillaume Marie-Anne Brune, 1st Count Brune (, 13 March 1764 – 2 August 1815) was a French military commander, Marshal of the Empire, and political figure who served during the French Revolutionary Wars and the Napoleonic Wars. Early life Brune was born in Brives (now called Brive-la-Gaillarde) in the province of Limousin, the son of Étienne Brune, a lawyer, and Jeanne Vielbains. He moved to Paris in 1785, studied law, and became a political journalist. He embraced the ideas of the French Revolution, and soon after its outbreak enlisted in the Parisian National Guard and joined the Cordeliers, eventually becoming a friend of Georges Danton. Revolutionary Wars Brune fought in Bordeaux during the Federalist revolts, and at Hondschoote and Fleurus. In 1793, Brune was appointed brigadier general and took part in the fighting of the 13 Vendémiaire (5 October 1795) against royalist insurgents in Paris. In 1796, he served under Napoleon Bonaparte in the Italian campaign, and w ...
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Short Circuit
A short circuit (sometimes abbreviated to short or s/c) is an electrical circuit that allows a current to travel along an unintended path with no or very low electrical impedance. This results in an excessive current flowing through the circuit. The opposite of a short circuit is an "open circuit", which is an infinite resistance between two nodes. Definition A short circuit is an abnormal connection between two nodes of an electric circuit intended to be at different voltages. This results in an electric current limited only by the Thévenin equivalent resistance of the rest of the network which can cause circuit damage, overheating, fire or explosion. Although usually the result of a fault, there are cases where short circuits are caused intentionally, for example, for the purpose of voltage-sensing crowbar circuit protectors. In circuit analysis, a ''short circuit'' is defined as a connection between two nodes that forces them to be at the same voltage. In an 'ideal' ...
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Brune Test Series-Parallel
Guillaume Marie-Anne Brune, 1st Count Brune (, 13 March 1764 – 2 August 1815) was a French military commander, Marshal of the Empire, and political figure who served during the French Revolutionary Wars and the Napoleonic Wars. Early life Brune was born in Brives (now called Brive-la-Gaillarde) in the province of Limousin, the son of Étienne Brune, a lawyer, and Jeanne Vielbains. He moved to Paris in 1785, studied law, and became a political journalist. He embraced the ideas of the French Revolution, and soon after its outbreak enlisted in the Parisian National Guard and joined the Cordeliers, eventually becoming a friend of Georges Danton. Revolutionary Wars Brune fought in Bordeaux during the Federalist revolts, and at Hondschoote and Fleurus. In 1793, Brune was appointed brigadier general and took part in the fighting of the 13 Vendémiaire (5 October 1795) against royalist insurgents in Paris. In 1796, he served under Napoleon Bonaparte in the Italian campaign, and w ...
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