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

Paralel bağlanmış üç kondansatör grubuna sahip karmaşık bir kondansatör ağı düşünün ve bu gruplar daha sonra birbirleriyle seri olarak bağlanır. Bu karmaşık devrenin terminalleri arasındaki eşdeğer kapasitansı belirleyin.
Bunu çözmek için önce paralel bağlanmış dört kondansatörden oluşan devrenin altındaki grup analiz edilir. Kapasitanslarının toplamı, tek bir kapasitör C3 ile temsil edilen eşdeğer bir kapasitans verir.
Daha sonra, paralel olarak üç kapasitöre sahip olan orta grup göz önünde bulundurulur. Yine, kapasitanslarını toplamak, eşdeğer kapasitansC2'yi verir.
Son olarak, paralel olarak iki kapasitöre sahip olan üst grubu düşünün. Eşdeğer kapasitans hesaplanır ve bir kapasitör, C1 ile temsil edilir.
Şimdi, karmaşık devre seri olarak bağlanmış üç kapasitöre basitleştirildi.
Bu seri kombinasyonu için eşdeğer kapasitansı belirlemek için, her bir kapasitansın karşılıklarının toplamı alınır ve bu da eşdeğer kapasitansın tersi ile sonuçlanır.
Terimleri yeniden düzenledikten sonra, terminaller arasındaki tüm devrenin eşdeğer kapasitansı elde edilir.

eşdeğer kapasitans

Direnç devrelerinin incelenmesinden, seri-paralel kombinasyonunun kullanılmasının devreleri basitleştirmede etkili bir strateji olduğu anlaşılmaktadır. Kondansatörler bir devre içerisinde iki yoldan biriyle düzenlenebilir: seri konfigürasyon veya paralel konfigürasyon. Bu kapasitörlerin bir pile bağlanma şekli, hem her bir kapasitördeki potansiyel düşüşü hem de her kapasitörün depolayabileceği şarjın boyutunu etkileyecektir. Bu, mevcut bağlantının türüne göre belirlenir. Bu senaryoyu basitleştirmek için kapasitörlerin kombinasyonu tek bir eşdeğer kapasitörle değiştirilebilir. Bu eşdeğer kapasitör, aynı potansiyel farkına maruz kaldığında orijinal kombinasyonla aynı miktarda yükü depolayabilir.

N kapasitör paralel bağlandığında hepsi aynı gerilimi paylaşır. Böyle bir konfigürasyon için eşdeğer kapasitans şu şekilde verilir:

<img alt="Equation1" src="/files/ftp_upload/15087/15087_PT_Equation_1.svg" style="text-align: center; height: 14px;" />

Paralel bağlanan N adet kapasitörün eşdeğer kapasitansının, bireysel kapasitanslarının toplamına eşit olduğuna dikkat etmek çok önemlidir.

Şimdi N kapasitörün seri olarak birbirine bağlandığı senaryoya geçildiğinde, tüm kapasitörlerden aynı akımın (i) ve dolayısıyla aynı yükün aktığı görülmektedir. Bu kurulumun eşdeğer kapasitansı şu şekilde temsil edilir:

<img alt="Equation2" src="/files/ftp_upload/15087/15087_PT_Equation_2.svg" style="text-align: center; height: 32px;" />

Paralel konfigürasyonun aksine, seri bağlı kapasitörlerin eşdeğer kapasitansı, her kapasitörün bireysel kapasitansının karşılıklı değerlerinin toplamının tersi olarak hesaplanır.

Eşdeğer Kapasitans

Paralel bağlanmış üç kondansatör grubuna sahip karmaşık bir kondansatör ağı düşünün ve bu gruplar daha sonra birbirleriyle seri olarak bağlanır. ...

Education

JoVE Core

Electrical Engineering

Elektrik Mühendisliği

Unit 1

Ünite 1

Energy Storage Elements

Enerji Depolama Elemanları

KEY TERMS AND CONCEPTS

TEMEL TERİMLER VE KAVRAMLAR

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.

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

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JoVE Core Elektrik Mühendisliği, devre analizi teknikleriyle birlikte elektrik devrelerinin temel kavramlarını kapsayan, anlaşılması kolay animasyonlu videolar sunar. Operasyonel amplifikatörler ve devre dönüşümü kavramlarını kullanarak birinci dereceden ve ikinci dereceden devreleri içerir. Pratik tasarım örneklerinin ve gerçek dünya uygulamalarının bilim insanlarınca hazırlanan videolar aracılığıyla dahil edilmesi, karmaşık kavramları erişilebilir hale getirerek önemli bir eğitim değeri katmaktadır.

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Capacitors in Series and Parallel

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