Name: norton current in ac circuit analysis
Uploaded: 2024-04-11T12:48:50.000Z
Duration: 1 min 16 s
Channel: JoVE

تنص نظرية نورتون على أنه يمكن استبدال أي شبكة خطية ثنائية الطرفين بدائرة مكافئة تتكون من مصدر تيار ثابت بالتوازي مع مقاومة.
لتحديد قيمة المعاوقة المتوازية ، يتم استبدال المصدر بمقاومته الداخلية. المعاوقة المكافئة لهذه الدائرة الناتجة هي مقاومة Norton ، وهي نفس مقاومة Thévenin.
لتحديد تيار نورتون ، ضع المصادر مرة أخرى في الدائرة ، وقم بتحليل جهد الدائرة المفتوحة ، وهو جهد Thévenin.
يتم تحديد جهد Thévenin بواسطة ناتج تيار المصدر ومقاومة Thevenin.
يتم إسقاط نفس الجهد عبر مقاومة الحمل حيث يتم وضعه في تكوين متوازي.
تذكر العلاقة بين تيار Norton وجهد Thévenin ومقاومة Thévenin. من خلال استبدال القيم ، فإنه يسمح بتحديد تيار Norton.
نظرية نورتون مفيدة لتحليل وتصميم الأنظمة التي تحتوي على دوائر تيار متردد معقدة.
من خلال تحديد دائرة نورتون المكافئة لكل مرحلة أو قسم من الدائرة المعقدة ، يمكن تبسيط تحليل النظام ككل.

دوائر نورتون المكافئة

<div style="direction:rtl">تعتبر نظرية نورتون مفهومًا أساسيًا في مجال الهندسة الكهربائية الذي يسمح بتبسيط دوائر التيار المتردد المعقدة. تنص النظرية على أنه يمكن استبدال أي شبكة خطية ذات طرفين بدائرة مكافئة تتكون من ممانعة، والتي تكون موازية لمصدر تيار ثابت. يوضح الشكل 1 دائرة التيار المتردد مقسمة إلى جزأين: الدائرة A والدائرة B، بينما يوضح الشكل 2 الدائرة التي تم الحصول عليها عن طريق استبدال الدائرة A بدائرة Norton المكافئة لها. <img alt="Figure1" src="/files/ftp_upload/15114/15114_PT_Figure_1.svg" style="text-align: center; height: 160px;"> الشكل 1: دائرة مقسمة إلى جزأين <img alt="Figure2" src="/files/ftp_upload/15114/15114_PT_Figure_2.svg" style="text-align: center; height: 160px;"> الشكل 2: دائرة نورتون المكافئة لحساب قيمة المعاوقة التفرعية، يجب استبدال المصدر بممانعته الداخلية، مما ينتج عنه دائرة بممانعة مكافئة تعرف باسم ممانعة نورتون. مقاومة نورتون هي نفس مقاومة ثيفينين وتستخدم لتحديد تيار نورتون، وهو التيار الذي يتدفق عبر الدائرة. يتطلب تحديد تيار Norton إعادة المصادر إلى الدائرة وتحليل جهد الدائرة المفتوحة، المعروف أيضًا باسم جهد Thévenin. يتم تحديد قيمة جهد ثيفينين عن طريق ضرب تيار المصدر بممانعة ثيفينين، ويستخدم لإسقاط نفس الجهد عبر ممانعة الحمل عندما يتم وضعه في تكوين متوازٍ. باستخدام العلاقة بين تيار نورتون، وجهد ثيفينين، وقيم تيار نورتون، يمكن تحديد تيار نورتون للدائرة. هذه العلاقة تجعل نظرية نورتون مفيدة لتحليل وتصميم الأنظمة التي تحتوي على دوائر تيار متردد معقدة لأنها تبسط تحليلها عن طريق تقسيم الدائرة إلى أقسام أصغر وأكثر قابلية للإدارة.</div>

تنص نظرية نورتون على أنه يمكن استبدال أي شبكة خطية ثنائية الطرفين بدائرة مكافئة تتكون من مصدر تيار ثابت في ...

Education

JoVE Core

Electrical Engineering

الهندسة الكهربائية

Unit 1

الوحدة الأولى

AC Circuit Analysis

تحليل دوائر التيار المتردد

KEY TERMS AND CONCEPTS

المصطلحات والمفاهيم الرئيسية

Norton Equivalent Circuits

norton current in ac circuit analysis

Norton’s theorem helps simplify complex AC circuits by replacing a two-terminal linear network with a smaller equivalent circuit. That equivalent circuit uses an impedance in parallel with a constant current source. The method lets students break one complicated circuit into two parts and analyze them more easily.

To build the Norton equivalent, the source is replaced by its internal impedance. The result is the Norton impedance, which is the same as the Thévenin impedance. This parallel impedance is the key value used in the equivalent circuit.

Finding the Norton current takes one more step. The sources are placed back into the circuit, and the open-circuit voltage is analyzed. That voltage is also called the Thévenin voltage, and it can be found by multiplying the source current by the Thévenin impedance.

The Thévenin voltage helps show the same voltage drop across the load impedance when the load is arranged in parallel. Using the relationship between the Norton current, the Thévenin voltage, and the Norton impedance makes it possible to determine the circuit current. This makes Norton’s theorem useful for analyzing and designing systems with complex AC circuits because it turns a hard problem into smaller, more manageable parts.

Norton Current in AC Circuit Analysis

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norton equivalent circuits

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key terms and concepts

Learn how Norton’s theorem simplifies complex AC circuits with a parallel current source and impedance, and how Norton current is determined from Thévenin values.

Norton Current in AC Circuit Analysis | 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.

electrical engineering

Norton Current in AC Circuit Analysis

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