Name: equivalent inductance in circuit networks
Uploaded: 2024-04-11T12:48:39.000Z
Duration: 1 min 17 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Chemistry and Physics

IPC.6

IPC.6.A

Series and Parallel Inductors

Seri ve/veya paralel konfigürasyonlarda bağlanan indüktörler, eşdeğer bir tek indüktöre basitleştirilebilir.
İçlerinden akan aynı akıma sahip indüktörlerin bir dizi bağlantısını düşünün.
Kirchhoff'un voltaj yasası döngüye uygulandığında ve indüktör voltajları için ifade değiştirildiğinde, ortaya çıkan ifade, bu seri bağlı indüktörlerin eşdeğer endüktansının tek tek endüktansların toplamına eşit olduğunu gösterir.
Ardından, her bir indüktörün üzerinde aynı voltajı deneyimlediği paralel bir indüktör bağlantısını düşünün. Kirchhoff'un akım yasası döngüye uygulanır ve indüktör akımı ifadesi ikame edilir.
Eşdeğer indüktörden geçen ilk akım, bireysel indüktör akımlarının toplamı olduğundan, tek tek endüktansların tersinin toplamı, eşdeğer endüktansın tersine eşittir.
Seri ve paralel indüktör kombinasyonları, dirençlerle benzer kuralları takip eder.
Hem seri hem de paralel indüktörlü bir devre düşünün. İndüktörlerin paralel kombinasyonunun eşdeğer endüktansı hesaplanır ve toplam eşdeğer endüktansı elde etmek için seri endüktansa eklenir.

seri ve paralel İndüktörler

Elektrik devrelerinde, indüktörlerin pasif elemanların araç setine entegre edilmesi, bu bileşenleri içeren seri ve paralel kombinasyonların karmaşıklıklarında gezinmeyi gerektirir. Pratik devreler genellikle birden fazla indüktörün konfigürasyonlarını içerir ve bunların eşdeğer endüktansının nasıl belirleneceğini anlamak hayati önem taşır.

Her biri aynı akımı taşıyan N sayıda indüktörün seri bağlantısı için Kirchhoff gerilim yasasını uygulamak çok önemli bir ilişkiyi ortaya çıkarır. Endüktans gerilimleri yerine bu ifadeyi kullanmak anlamlı bir sonuca yol açar: Bu seri düzenlemenin eşdeğer endüktansı, bireysel endüktansların basit toplamıdır. Bu fenomen, dirençlerin seri olarak nasıl birleştiğini yansıtır ve bu pasif elemanlar arasındaki temel benzerliği vurgular.

<img alt="Equation1" src="/files/ftp_upload/15090/15090_Equation_1.svg" style="text-align: center; height: 16px;" />

İndüktörlerin paralel bağlanmasında her biri aynı gerilimi taşır; Kirchhoff mevcut yasası uygulanabilir. Bu, önemli bir açıklamaya yol açar: Eşdeğer endüktansın tersi, bireysel endüktansların tersinin toplamına eşittir. Bu paralel kombinasyon kuralı, dirençlerin paralel davranışını yansıtır ve farklı pasif elemanlarla uyumlu bir yaklaşım sergiler.

<img alt="Equation2" src="/files/ftp_upload/15090/15090_Equation_2.svg" style="text-align: center; height: 34px;" />

Uygulamada devreler genellikle seri ve paralel indüktörlerin bir karışımını içerir. Bu tür senaryolarla karşılaşıldığında, devrenin genel eşdeğer endüktansını elde etmek için paralel indüktörlerin eşdeğer endüktansı hesaplanır ve seri endüktansa eklenir.

Seri ve Paralel İndüktörler

Seri ve/veya paralel konfigürasyonlarda bağlanan indüktörler, eşdeğer bir tek indüktöre basitleştirilebilir.
İndüktörlerin seri bağlantısını düşünün ...

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

equivalent inductance in circuit networks

Equivalent inductance in circuit networks helps simplify circuits with multiple inductors. When inductors are combined, the circuit can often be replaced by one inductor with the same effect on the current and voltage.

For inductors in series, the same current flows through each component. Applying Kirchhoff's voltage law shows that the total voltage is the sum of the inductor voltages. As a result, the equivalent inductance of a series group is the sum of the individual inductances. This is the same pattern used for resistors in series.

For inductors in parallel, each branch has the same voltage. Kirchhoff's current law gives the key relationship for this arrangement. The reciprocal of the equivalent inductance equals the sum of the reciprocals of the individual inductances. This matches the rule used for resistors in parallel.

Many practical circuits use a mix of series and parallel inductors. In those cases, the parallel inductors are first combined into one equivalent inductance. That result is then added to the inductance in series to find the total equivalent inductance of the circuit.

Equivalent Inductance in Circuit Networks

equivalent-inductance-in-circuit-networks

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Equivalent inductance in circuit networks helps simplify circuits with multiple inductors. When inductors are combined, the circuit can often be replaced by one inductor with the same effect on the current and voltage. For inductors in series, the same current flows through each component. Applying Kirchhoff's voltage law shows that the total voltage is the sum of the inductor voltages. As a result, the equivalent inductance of a series group is the sum of the individual inductances. This is...

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Learn how series and parallel inductors combine in circuits. See how Kirchhoff's laws give the rules for equivalent inductance in mixed networks.

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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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Equivalent Inductance in Circuit Networks

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