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

يمكن تبسيط المحاثات المتصلة في تكوينات متسلسلة و / أو متوازية إلى محث واحد مكافئ.
ضع في اعتبارك سلسلة اتصال من المحاثات بنفس التيار المتدفق من خلالها.
عندما يتم تطبيق قانون جهد كيرشوف على الحلقة ، ويتم استبدال التعبير عن جهد المحرض ، يشير التعبير الناتج إلى أن الحث المكافئ لهذه المحاثات المتصلة بالسلسلة يساوي مجموع المحاثات الفردية.
بعد ذلك ، ضع في اعتبارك اتصالا موازيا للمحاثات ، حيث يختبر كل محث نفس الجهد عبره. يتم تطبيق قانون كيرشوف الحالي على الحلقة ، ويتم استبدال التعبير عن تيار المحرض.
نظرا لأن التيار الأولي عبر المحرض المكافئ هو مجموع تيارات المحرض الفردية ، فإن مجموع المقلوبين للمحاثات الفردية يساوي مقلوب الحث المكافئ.
مجموعات المحرضات في سلسلة وبالتوازي تتبع قواعد مماثلة للمقاومات.
ضع في اعتبارك دائرة ذات كل من المحاثات المتسلسلة والمتوازية. يتم حساب الحث المكافئ للمجموعة المتوازية من المحاثات وإضافته إلى محاثة السلسلة للحصول على الحث المكافئ الكلي.

ملفات الحث على التوالي والتوازي

<div style="direction:rtl">في الدوائر الكهربائية، يتطلب دمج المحرِّضات في مجموعة أدوات العناصر الخاملة التنقل في تعقيدات المجموعات المتوالية والمتوازية التي تتضمن هذه المكونات. تتميز الدوائر العملية غالبًا بتكوينات لمحرِّضات متعددة، ويعد فهم كيفية تحديد محاثتها المكافئة أمرًا حيويًا. بالنسبة للتوصيل التسلسلي لمحرِّضات N، يحمل كل منها نفس التيار، فإن تطبيق قانون كيرشوف للجهد يكشف عن علاقة حاسمة. يؤدي استبدال التعبير الخاص بجهد المحرِّض إلى نتيجة ثاقبة: إن التحريض المكافئ لترتيب هذه السلسلة هو الجمع البسيط للتحريضات الفردية. تعكس هذه الظاهرة كيفية جمع المقاومات على التوالي، مما يؤكد التشابه الأساسي بين هذه العناصر الخاملة. <img alt="Equation1" src="/files/ftp_upload/15090/15090_Equation_1.svg" style="text-align: center; height: 16px;"> في التوصيل المتوازي للمحرِّضات، يحمل كل منها جهدًا متطابقًا؛ يمكن تطبيق قانون كيرشوف الحالي. وهذا يؤدي إلى اكتشاف مهم: أن مقلوب الحث المكافئ يساوي مجموع مقلوب الحث الفردي. تعكس قاعدة التركيب المتوازية هذه سلوك المقاومات الموصولة على التوازي، مما يوضح نهجًا متناغمًا للتعامل مع العناصر الخاملة المختلفة. <img alt="Equation2" src="/files/ftp_upload/15090/15090_Equation_2.svg" style="text-align: center; height: 34px;"> من الناحية العملية، تتميز الدوائر غالبًا بمزيج من المحاثات المتسلسلة والمتوازية. عند مواجهة مثل هذه السيناريوهات، يتم حساب الحث المكافئ للمحاثات المتوازية وإضافتها إلى الحث التسلسلي للحصول على الحث المكافئ الإجمالي للدائرة.</div>

يمكن تبسيط المحاثات المتصلة في تكوينات متسلسلة و / أو متوازية إلى محث واحد مكافئ.
ضع في اعتبارك سلسلة اتصال من المحاثات ...

Education

JoVE Core

Electrical Engineering

الهندسة الكهربائية

Unit 1

الوحدة الأولى

Energy Storage Elements

عناصر تخزين الطاقة

KEY TERMS AND CONCEPTS

المصطلحات والمفاهيم الرئيسية

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

capacitors

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series and parallel inductors

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.

Equivalent Inductance in Circuit Networks | 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

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Resistors In Parallel

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IPC.6.B

Energy

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IPC.6.C

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IPC.6.D

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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:

Equivalent Inductance in Circuit Networks

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