Name: capacitance in series and parallel
Uploaded: 2024-04-11T12:48:39.000Z
Duration: 1 min 14 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Chemistry and Physics

IPC.6

IPC.6.A

Series and Parallel Capacitors

Les condensateurs peuvent être connectés en série et/ou en parallèle au sein d’un circuit.
Considérons les condensateurs connectés en série à une batterie : la plaque connectée à la borne positive de la batterie développe une charge positive, tandis que la plaque attachée à la borne négative devient chargée négativement.
Une amplitude égale de la charge est induite sur les autres plaques, et le même courant circule dans chaque condensateur.
En appliquant la loi de tension de Kirchhoff à la boucle et en substituant la tension aux bornes de chaque condensateur, on obtient l'expression de la tension totale aux bornes du condensateur équivalent, où la tension initiale aux bornes du condensateur équivalent est égale à la somme des tensions initiales aux bornes de chaque condensateur.
L’inverse de la capacité équivalente est la somme des réciproques des capacités individuelles.
Maintenant, si les condensateurs sont connectés en parallèle, la différence de potentiel développée aux bornes de chaque condensateur est égale à la tension de la batterie.
En appliquant la loi de courant de Kirchhoff et en substituant le courant à chaque condensateur, le courant total circulant dans le condensateur équivalent est déterminé. La capacité équivalente est la somme des capacités individuelles.

condensateurs série et parallèle

Les condensateurs, composants fondamentaux des circuits électroniques, peuvent être connectés en configurations série et/ou parallèle. Chaque configuration a des impacts différents sur le comportement global du circuit. Considérons d’abord les condensateurs connectés en série à une batterie. Dans cette configuration, la plaque connectée à la borne positive de la batterie développe une charge positive, tandis que la plaque connectée à la borne négative devient chargée négativement. Une charge de même ampleur est induite sur les autres plaques, illustrant que le même courant circule à travers chaque condensateur dans une connexion en série. En appliquant la loi de tension de Kirchhoff, qui stipule que la tension totale autour de toute boucle fermée dans un circuit doit être égale à zéro, à la boucle et en remplaçant la tension aux bornes de chaque condensateur, on obtient une expression de la tension totale aux bornes du condensateur équivalent. Dans ce cas, la tension initiale aux bornes du condensateur équivalent est égale à la somme des tensions initiales aux bornes de chaque condensateur. L'inverse de la capacité équivalente dans une connexion en série est la somme des inverses des capacités individuelles. D'autre part, lorsque les condensateurs sont connectés en parallèle, la différence de potentiel développée aux bornes de chaque condensateur est égale à la tension de la batterie. En effet, tous les condensateurs d'une configuration parallèle partagent la même source de tension. En appliquant la loi du courant de Kirchhoff, qui stipule que le courant total entrant dans une jonction doit être égal au courant total qui en sort, et en substituant le courant pour chaque condensateur, nous pouvons déterminer le courant total circulant à travers le condensateur équivalent. Dans une connexion parallèle, la capacité équivalente est simplement la somme des capacités individuelles. En conclusion, comprendre le comportement des condensateurs dans des configurations série et parallèle est crucial en électronique. Ces connaissances permettent aux ingénieurs de manipuler la capacité totale d'un circuit et, par conséquent, de contrôler la réponse du circuit à différents signaux. Que ce soit dans les applications de filtrage, de lissage de l'alimentation électrique ou de couplage de signaux, les condensateurs et leurs configurations jouent un rôle essentiel.

Condensateurs série et parallèle

Les condensateurs peuvent être connectés en série et/ou en parallèle au sein d’un circuit.
Considérons les condensateurs connectés en série à une batterie ; L’assiette ...

Education

Enseignement

JoVE Core

Electrical Engineering

Génie électrique

Unit 1

Unité 1

Energy Storage Elements

Éléments de stockage d'énergie

KEY TERMS AND CONCEPTS

TERMES ET CONCEPTS CLÉS

capacitance in series and parallel

Capacitors in series and parallel affect a circuit in different ways. These arrangements change the total capacitance, which is the circuit's overall ability to store charge. Knowing the difference helps explain how a circuit responds to signals.

When capacitors are connected in series to a battery, the plate tied to the battery's positive terminal becomes positively charged. The plate connected to the negative terminal becomes negatively charged. The other plates develop equal and opposite charge, which shows that the same current passes through each capacitor in a series path.

Kirchhoff's voltage law is used to analyze the series loop. This law says the total voltage around a closed loop must equal zero. When the capacitor voltages are added, the equivalent capacitor has a total voltage equal to the sum of the individual voltages. For capacitors in series, the reciprocal of the equivalent capacitance equals the sum of the reciprocals of the separate capacitances.

Parallel capacitors behave differently. In a parallel connection, each capacitor has the same potential difference as the battery voltage because they share the same source. Kirchhoff's current law can then be applied at the junction. This law states that current entering a junction must equal current leaving it, which leads to the total current for the equivalent capacitor.

For capacitors in parallel, the equivalent capacitance is the sum of the individual capacitances. Understanding series and parallel capacitor circuits is important in electronics. It helps engineers adjust capacitance for filtering, power supply smoothing, and signal coupling.

Capacitance in Series and Parallel

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Capacitors store electric energy and help control signals in devices like car radios. They work by holding charge on two parallel conducting plates with a dielectric, which is the insulating material between the plates. When a voltage source is connected, positive charge builds up on one plate and negative charge builds up on the other. This charge separation creates a potential difference, and it keeps increasing until it matches the source voltage. The electric field inside the capacitor...

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Capacitor voltage and charge behavior depend on how a parallel plate capacitor connects to a battery. When the battery is attached, a potential difference forms across the plates. That voltage determines how much electrical energy the capacitor can store. The voltage across a capacitor can be found by integrating the equation that links voltage and current. That relationship lets students predict the voltage at any moment during charging or discharging. It also shows why a capacitor keeps a...

series and parallel capacitors

Capacitors in series and parallel affect a circuit in different ways. These arrangements change the total capacitance, which is the circuit's overall ability to store charge. Knowing the difference helps explain how a circuit responds to signals. When capacitors are connected in series to a battery, the plate tied to the battery's positive terminal becomes positively charged. The plate connected to the negative terminal becomes negatively charged. The other plates develop equal and opposite...

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Capacitors in Series and Parallel

Capacitors in series and parallel can be simplified by replacing the group with one equivalent capacitor. This equivalent capacitor stores the same charge as the original network when the same potential difference is applied. The idea helps make complex capacitor circuits easier to analyze. In a parallel connection, capacitors share the same voltage across each branch. The equivalent capacitance of N capacitors in parallel is the sum of their individual capacitances. This type of connection...

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key terms and concepts

Learn how capacitors act in series and parallel circuits, how Kirchhoff's laws apply, and how to calculate equivalent capacitance for high school electronics.

Capacitance in Series and Parallel | 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.

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Capacitance in Series and Parallel

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