Name: series resistors and voltage split
Uploaded: 2024-04-11T12:48:28.000Z
Duration: 1 min 14 s
Channel: JoVE

Dans une connexion en série, les résistances sont liées séquentiellement et le même courant doit circuler à travers chacune d’elles.
La tension aux bornes de ces résistances peut être exprimée à l'aide de la loi d'Ohm. Selon la loi de tension de Kirchhoff, la somme de la tension aux bornes des résistances est égale à la tension de la source.
En conséquence, le courant dans le circuit est égal à la tension de la source divisée par la résistance totale en série.
En substituant l'expression du courant dans la loi d'Ohm, on obtient la tension aux bornes de chaque résistance.
Ainsi, la tension de la source est divisée proportionnellement entre plusieurs résistances en fonction de leurs résistances individuelles, ce qui est connu sous le nom de principe de « division de tension ». Un circuit qui démontre ce principe est appelé diviseur de tension.
Une combinaison de résistances en série peut être traitée comme une seule résistance équivalente.
La résistance de cette résistance équivalente est égale à la somme des résistances des résistances individuelles en série.
La résistance équivalente peut être généralisée pour n’importe quel nombre de résistances connectées en série.
De même, une expression généralisée de la chute de tension aux bornes de ces résistances peut être écrite.

diviseurs de tension

Dans les circuits électriques, les résistances peuvent être connectées en série, reliées séquentiellement les unes après les autres. Dans une configuration en série, le même courant traverse chaque résistance. La loi d'Ohm est un principe fondamental pour comprendre le comportement des résistances en série. Il exprime la tension aux bornes de ces résistances en termes de courant et de résistance. La loi de tension de Kirchhoff implique que la somme des tensions aux bornes des résistances en série est égale à la tension source. Cela signifie que le courant dans le circuit est égal à la tension source divisée par la résistance totale en série. Cette expression de courant peut être remplacée par la loi d'Ohm pour déterminer la tension aux bornes de chaque résistance. Cet agencement aboutit à une division proportionnelle de la tension source entre plusieurs résistances en fonction de leurs résistances individuelles. Ce principe est connu sous le nom de « division de tension », un circuit qui illustre ce principe est appelé « diviseur de tension ». Une combinaison de résistances connectées en série peut être traitée comme une seule résistance équivalente. La valeur de cette résistance équivalente est simplement la somme des résistances individuelles en série. Ce concept s'étend à n'importe quel nombre de résistances connectées en série. <img alt="Equation1" src="/files/ftp_upload/15072/15072_PT_Equation_1.svg" style="text-align: center; height: 16px;"> La chute de tension aux bornes de chaque résistance dans un circuit en série est directement proportionnelle à sa résistance. En conséquence, les résistances ayant des valeurs de résistance plus élevées subiront des chutes de tension plus importantes. Ce principe est au cœur des diviseurs de tension, où la chute de tension de chaque résistance est déterminée par sa résistance par rapport à la résistance totale de la série. En pratique, la combinaison de résistances en série ou en parallèle est courante, nécessitant souvent une représentation simplifiée du circuit. Cette simplification est obtenue en combinant deux résistances à la fois. La résistance équivalente de deux résistances en série est la somme de leurs résistances individuelles. Cette technique facilite l'analyse de circuits complexes, fournissant ainsi aux ingénieurs un outil précieux pour la conception et le dépannage des systèmes électriques.

Diviseurs de tension

Dans une connexion en série, les résistances sont liées séquentiellement et le même courant doit circuler à travers chacune d’elles.
La tension aux bornes de ces résistances peut être ...

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Electrical Engineering

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Basics of Electric Circuits

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Voltage Dividers

series resistors and voltage split

Series resistors split voltage across a circuit. In a series setup, resistors are linked one after another. The same current flows through each resistor in the chain. To analyze this behavior, Ohm's law is used to relate voltage, current, and resistance.

Kirchhoff's voltage law says the voltages around a series loop add up to the source voltage. That means the current in the circuit equals the source voltage divided by the total resistance in series. The current value can then be used in Ohm's law to find the voltage across each resistor. This is the principle of voltage division.

A circuit that uses this principle is called a voltage divider. The source voltage is shared among the resistors in proportion to their resistance values. A resistor with a larger resistance gets a larger voltage drop. This relationship stays the same for any number of resistors in series.

Resistors in series can also be replaced by one equivalent resistor. Its resistance is the sum of the individual resistances. Circuit analysis often uses this idea when simplifying complex networks. Engineers combine two resistors at a time to make the circuit easier to study and troubleshoot.

Series Resistors and Voltage Split

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Series resistors split voltage across a circuit. In a series setup, resistors are linked one after another. The same current flows through each resistor in the chain. To analyze this behavior, Ohm's law is used to relate voltage, current, and resistance. Kirchhoff's voltage law says the voltages around a series loop add up to the source voltage. That means the current in the circuit equals the source voltage divided by the total resistance in series. The current value can then be used in Ohm's...

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Learn how resistors in series split source voltage, use Ohm's law and Kirchhoff's voltage law, and simplify circuits with equivalent resistance.

Series Resistors and Voltage Split | JoVE K12

JoVE Core Electrical Engineering offers easy-to-understand animated videos that cover fundamental concepts of electric circuits along with circuit analysis techniques. It incorporates first-order and second-order circuits using operational amplifiers and circuit transformation concepts. The inclusion of practical design examples and real-world applications through scientist-in-action videos adds significant educational value, making complex concepts accessible.

electrical engineering

Series Resistors and Voltage Split

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