Name: capacitors in series and parallel
Uploaded: 2024-04-11T12:48:39.000Z
Duration: 1 min 19 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Chemistry and Physics

IPC.6

IPC.6.A

Equivalent Capacitance

Considérons un réseau de condensateurs complexe avec trois groupes de condensateurs connectés en parallèle, et ces groupes sont ensuite connectés en série les uns avec les autres. Déterminez la capacité équivalente entre les bornes de ce circuit complexe.
Pour résoudre ce problème, le groupe au bas du circuit, composé de quatre condensateurs connectés en parallèle, est analysé en premier. La somme de leur capacité donne une capacité équivalente, représentée par un seul condensateur C3.
Ensuite, le groupe du milieu, ayant trois condensateurs en parallèle, est considéré. Encore une fois, en additionnant leurs capacités, on obtient la capacité équivalente C2.
Enfin, considérons le groupe supérieur, qui a deux condensateurs en parallèle. La capacité équivalente est calculée et représentée par un condensateur, C1.
Maintenant, le circuit complexe a été simplifié en trois condensateurs connectés en série.
Pour déterminer la capacité équivalente pour cette combinaison de séries, on prend la somme des inverses de chaque capacité, ce qui donne l’inverse de la capacité équivalente.
En réorganisant les termes, la capacité équivalente de l’ensemble du circuit entre les bornes est obtenue.

capacité équivalente

L’étude des circuits résistifs montre que l’utilisation d’une combinaison série-parallèle constitue une stratégie efficace pour simplifier les circuits. Les condensateurs peuvent être disposés dans un circuit de deux manières : une configuration en série ou une configuration en parallèle. La façon dont ces condensateurs sont connectés à une batterie influencera à la fois la chute de potentiel aux bornes de chaque condensateur individuel et la taille de la charge que chaque condensateur peut stocker. Ceci est déterminé par le type spécifique de connexion en place. Pour simplifier ce scénario, la combinaison de condensateurs peut être remplacée par un seul condensateur équivalent. Ce condensateur équivalent est capable de stocker une quantité de charge identique à celle de la combinaison originale lorsqu'il est soumis à la même différence de potentiel. Lorsqu’il y a une connexion parallèle de N condensateurs, ils partagent tous la même tension à leurs bornes. La capacité équivalente pour une telle configuration est donnée par <img alt="Equation1" src="/files/ftp_upload/15087/15087_PT_Equation_1.svg" style="text-align: center; height: 14px;"> Il est crucial de noter que la capacité équivalente de N condensateurs connectés en parallèle est égale au total de leurs capacités individuelles. En passant maintenant au scénario où N condensateurs sont interconnectés en série, on observe que le même courant i, et par conséquent la même charge, traverse tous les condensateurs. La capacité équivalente de cette configuration est représentée par <img alt="Equation2" src="/files/ftp_upload/15087/15087_PT_Equation_2.svg" style="text-align: center; height: 32px;"> Contrairement à la configuration parallèle, la capacité équivalente des condensateurs connectés en série est calculée comme l'inverse de la somme des inverses de la capacité individuelle de chaque condensateur.

Capacité équivalente

Considérons un réseau de condensateurs complexe avec trois groupes de condensateurs connectés en parallèle, et ces groupes sont ensuite connectés en série les uns avec les autres. ...

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

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 increases the total ability of the circuit to store charge.

In a series connection, the same current flows through each capacitor, and the same charge passes through them. The equivalent capacitance for N capacitors in series is found from the reciprocal of the sum of the reciprocals of each capacitance. This result is different from the parallel case and gives a smaller effective capacitance.

Capacitors in Series and Parallel

capacitors

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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...

equivalent capacitance

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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Car Spark Coil Voltage Design Example

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key terms and concepts

Learn how capacitors behave in series and parallel, and how to find equivalent capacitance by adding capacitances in parallel or using reciprocals in series.

Capacitors 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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IPC.6.B

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IPC.6.E

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IPC.6.F

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IPC.6.G

Science concepts. The student knows the impact of energy transfer and energy conservation in everyday life. The student is expected to:

Capacitors in Series and Parallel

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