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

ضع في اعتبارك سلسلة من أضواء عيد الميلاد ، حيث يمثل كل مصباح مقاومة. يضمن هذا الترتيب المتسلسل للمعاوقة تيارا موحدا عبر كل مكون.
بتطبيق قانون الجهد الخاص ب Kirchhoff ، فإن المعاوقة المكافئة تساوي مجموع المعاوقات الفردية ، على غرار المقاومات في السلسلة.
يتم توزيع جهد المصدر بشكل متناسب بين مكونات متعددة بناء على مقاومة كل منها ، مع الالتزام بمبدأ تقسيم الجهد.
في اتصال متسلسل ، يؤدي عطل لمبة واحدة إلى تشغيل دائرة مفتوحة ، مما يؤدي إلى تعطيل التدفق الحالي.
لذلك ، عادة ما يتم توصيل أضواء عيد الميلاد بتكوين متوازي ، مما يضمن جهدا ثابتا عبر كل مكون.
يكشف تطبيق قانون كيرشوف الحالي على هذه الدائرة المتوازية أن مقلوب المعاوقة المكافئة يساوي مجموع المقلوبات للمقاومات الفردية ، على غرار المقاومات بالتوازي.
لذلك ، يتم إعطاء القبول المكافئ بمجموع القبولات الفردية.
ينقسم تيار المصدر بين المكونات بما يتناسب عكسيا مع معاوقاتها ، مما يدل على مبدأ التقسيم الحالي.
هنا ، ينشئ كل مكون مسارا مستقلا إلى مصدر الطاقة ، مما يتيح تدفق تيار معزول.

تجميع المعاوقة

<div style="direction:rtl">خذ بعين الاعتبار سلسلة من أضواء عيد الميلاد، كل لمبة ترمز إلى عنصر المعاوقة. في هذه السلسلة من التكوين، يظل تدفق التيار الكهربائي منتظمًا عبر كل مكون. يتوافق هذا السلوك مع قانون كيرشوف للجهد (KVL)، الذي يؤكد أن الممانعة الإجمالية في مثل هذا الإعداد تساوي مجموع الممانعات الفردية - على غرار المقاومات المتصلة على التوالي. ويترتب على ذلك أن الجهد من مصدر الطاقة يتم توزيعه بشكل متناسب بين هذه المكونات، مع الالتزام بمبدأ تقسيم الجهد. <img alt="Equation1" src="/files/ftp_upload/15569/15569_PT_Equation_1.svg" style="text-align: center; height: 48px;"> ومع ذلك، فإن عيب هذا التوصيل المتسلسل يكون واضحًا عندما تتعطل لمبة واحدة، مما يتسبب في حدوث دائرة مفتوحة تقطع تدفق التيار بالكامل. عادة ما يتم ترتيب أضواء عيد الميلاد في تكوين متواز لضمان إمدادات الطاقة المستمرة والثابتة. يضمن هذا الإعداد جهدًا ثابتًا عبر كل لمبة، وفقًا لقانون كيرشوف الحالي (KCL)، حيث يساوي مقلوب المعاوقة المكافئة مجموع مقلوبات الممانعات الفردية - على غرار المقاومات الموصلة على التوازي. ويترتب على ذلك أن القبول المعادل هو مجموع القبولات الفردية. في هذا الترتيب الموازي، ينقسم تيار المصدر عكسيًا بناءً على ممانعات المصابيح الفردية، مما يجسد مبدأ تقسيم التيار. ومن الجدير بالذكر أن كل لمبة تنشئ مسارًا مستقلاً لمصدر الطاقة، مما يتيح تدفق التيار المعزول وغير المنقطع. <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;"> علاوة على ذلك، في الدوائر الأكثر تعقيدًا ذات الممانعات المتسلسلة والمتوازية، يمكن أيضًا استخدام تحويلات دلتا إلى واي وواي إلى دلتا في دوائر المعاوقة، مما يوفر أدوات تحليل وتصميم قيمة للدوائر. تعمل هذه التحويلات على تسهيل التحويل بين تكوينات المعاوقة المختلفة، مما يعزز تعدد استخدامات الدوائر القائمة على المعاوقة.</div>

ضع في اعتبارك سلسلة من أضواء عيد الميلاد ، حيث يمثل كل مصباح مقاومة. يضمن هذا الترتيب المتسلسل للمقاومة تيارا موحدا عبر ...

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

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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AC Waveform Basics and Phase

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AC Circuit Rules with Phasor Diagrams

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AC Circuit Response: Impedance and Admittance

AC circuit response changes with frequency, and impedance describes how resistors, inductors, and capacitors affect sinusoidal current flow. In phasor form, voltage and current are used to show this behavior in a clear way. Impedance is a key idea in AC circuit analysis because it measures opposition to current in an alternating circuit. These components behave differently in AC than in DC. In DC circuits, inductors act like short circuits and capacitors act like open circuits. In AC circuits,...

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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key terms and concepts

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

Series and Parallel Impedance Rules | 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

Series and Parallel Impedance Rules

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