Name: series and parallel impedance rules
Uploaded: 2024-04-11T12:48:49.000Z
Duration: 1 min 21 s
Channel: JoVE

Her ampulün bir empedansı temsil ettiği bir dizi Noel ışığı düşünün. Bu seri empedans düzenlemesi, her bileşen boyunca eşit bir akım sağlar.
Kirchhoff'un Voltaj Yasasını uygulayarak, eşdeğer empedans, seri dirençlere benzer şekilde bireysel empedansların toplamına eşittir.
Kaynak voltajı, voltaj bölme ilkesine bağlı kalarak ilgili empedanslarına göre birden fazla bileşen arasında orantılı olarak dağıtılır.
Seri bağlantıda, tek bir ampulün arızalanması, akım akışını bozan açık bir devreyi tetikler.
Bu nedenle, Noel ışıkları genellikle paralel bir konfigürasyonda bağlanır ve her bileşen boyunca sabit bir voltajı garanti eder.
Kirchhoff'un Mevcut Yasasını bu paralel devreye uygulamak, eşdeğer empedansın tersinin, paralel dirençlere benzer şekilde, bireysel empedansların karşılıklarının toplamına eşit olduğunu ortaya koymaktadır.
Bu nedenle, eşdeğer kabul, bireysel kabullerin toplamı ile verilir.
Kaynak akımı, bileşenler arasında empedanslarıyla ters orantılı olarak bölünür ve akım bölme ilkesini gösterir.
Burada, her bileşen güç kaynağına giden bağımsız bir yol oluşturarak izole bir akım akışı sağlar.

empedans kombinasyonu

Her bir ampul bir empedans öğesini simgeleyen bir dizi Noel ışığını düşünün. Bu seri konfigürasyonda elektrik akımı akışı her bileşende aynı kalır. Bu davranış, böyle bir kurulumdaki toplam empedansın, seri dirençlere benzer şekilde bireysel empedansların toplamına eşit olduğunu ileri süren Kirchhoff Gerilim Yasası (KVL) ile uyumludur. Bundan, güç kaynağından gelen gerilimin, gerilim bölme prensibine bağlı kalarak bu bileşenler arasında orantılı olarak dağıtıldığı anlaşılmaktadır.

<img alt="Equation1" src="/files/ftp_upload/15569/15569_PT_Equation_1.svg" style="text-align: center; height: 48px;" />

Bununla birlikte, bu seri bağlantının dezavantajı, tek bir ampulün arızalanması ve tüm akım akışını kesintiye uğratan açık devrenin ortaya çıkması durumunda ortaya çıkar. Noel ışıkları, sürekli ve sabit bir güç kaynağı sağlamak için genellikle paralel bir konfigürasyonda düzenlenir. Bu kurulum, Kirchhoff Akım Yasasına (KCL) göre her ampulde sabit bir gerilimi garanti eder; burada eşdeğer empedansın karşılığı, paralel dirençlere benzer şekilde bireysel empedansların karşılıklılarının toplamına eşittir. Buradan eşdeğer kabulün bireysel kabullerin toplamı olduğu sonucu çıkar.

Bu paralel düzenlemede, kaynak akımı, bireysel ampullerin empedanslarına göre ters olarak bölünür; bu, akım bölme ilkesini örneklendirir. Özellikle her ampul, güç kaynağına giden bağımsız bir yol oluşturarak izole ve kesintisiz akım akışı sağlar.

<img alt="Equation2" src="/files/ftp_upload/15569/15569_PT_Equation_2.svg" style="text-align: center; height: 48px;" />

<img alt="Equation3" src="/files/ftp_upload/15569/15569_PT_Equation_3.svg" style="text-align: center; height: 40px;" />

Ayrıca, hem seri hem de paralel empedanslara sahip daha karmaşık devrelerde, empedans devreleri için deltadan yıldıza ve yıldızdan deltaya dönüşümler de kullanılabilir ve bu da değerli devre analizi ve tasarım araçları sunar. Bu dönüşümler, farklı empedans konfigürasyonları arasındaki dönüşümü kolaylaştırarak empedans bazlı devrelerin çok yönlülüğünü artırır.

Empedans Kombinasyonu

Her ampulün bir empedansı temsil ettiği bir dizi Noel ışığı düşünün. Bu seri empedans düzenlemesi, boyunca düzgün bir akım sağlar...

Education

JoVE Core

Electrical Engineering

Elektrik Mühendisliği

Unit 1

Ünite 1

AC Circuit Analysis

AC Devre Analizi

KEY TERMS AND CONCEPTS

TEMEL TERİMLER VE KAVRAMLAR

Impedance Combination

series and parallel impedance rules

Impedance in series and parallel circuits follows the same rules used for resistors. A string of Christmas lights is a simple example. Each bulb represents one impedance element. In a series connection, the current stays the same through every component.

This series behavior matches Kirchhoff’s Voltage Law, or KVL. The total impedance in the circuit is the sum of the individual impedances. The source voltage is then divided among the components based on their values. This is the voltage division principle. One weak point of a series circuit is that one failed bulb can open the circuit and stop current flow.

Christmas lights are often wired in parallel to avoid that problem. In a parallel circuit, each bulb keeps its own path to the power source. The voltage across each bulb stays constant. This matches Kirchhoff’s Current Law, or KCL. For parallel impedance, the reciprocal of the equivalent impedance equals the sum of the reciprocals of the individual impedances.

The equivalent admittance is the sum of the individual admittances. Admittance is the inverse of impedance. In this setup, the source current splits according to the impedances of the branches. This is the current division principle. Because each bulb has an independent path, current can keep flowing even if one branch fails.

For circuits that mix series and parallel impedances, delta-to-wye and wye-to-delta transformations are useful. These methods let students convert one impedance network into another form. They make circuit analysis and design more flexible.

Series and Parallel Impedance Rules

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impedance combination

Impedance in series and parallel circuits follows the same rules used for resistors. A string of Christmas lights is a simple example. Each bulb represents one impedance element. In a series connection, the current stays the same through every component. This series behavior matches Kirchhoff’s Voltage Law, or KVL. The total impedance in the circuit is the sum of the individual impedances. The source voltage is then divided among the components based on their values. This is the voltage...

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Learn how impedance combines in series and parallel circuits, including KVL, KCL, voltage division, current division, and circuit transformations.

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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.

electrical engineering

Series and Parallel Impedance Rules

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