Name: capacitors in series and parallel
Uploaded: 2024-04-11T12:48:39.000Z
Duration: 1 min 19 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Chemistry and Physics

IPC.6

IPC.6.A

Equivalent Capacitance

ضع في اعتبارك شبكة مكثفات معقدة مع ثلاث مجموعات من المكثفات متصلة بالتوازي ، ثم يتم توصيل هذه المجموعات في سلسلة مع بعضها البعض. حدد السعة المكافئة بين أطراف هذه الدائرة المعقدة.
لحل هذه المشكلة ، يتم أولا تحليل المجموعة الموجودة في الجزء السفلي من الدائرة ، والتي تتكون من أربعة مكثفات متصلة بالتوازي. يعطي مجموع سعتها سعة مكافئة ، ممثلة بمكثف واحد C3.
بعد ذلك ، يتم النظر في المجموعة الوسطى ، التي تحتوي على ثلاثة مكثفات بالتوازي. مرة أخرى ، فإن إضافة سعاتها تعطي السعة المكافئة C2.
أخيرا ، ضع في اعتبارك المجموعة العليا ، التي تحتوي على مكثفين بالتوازي. يتم حساب السعة المكافئة وتمثيلها بمكثف واحد ، C1.
الآن ، تم تبسيط الدائرة المعقدة إلى ثلاثة مكثفات متصلة في سلسلة.
لتحديد السعة المكافئة لهذه المجموعة المتسلسلة ، يتم أخذ مجموع المقلوبات لكل سعة ، مما ينتج عنه عكس السعة المكافئة.
عند إعادة ترتيب الشروط ، يتم الحصول على السعة المكافئة للدائرة بأكملها بين المحطات.

السعة المكافئة

<div style="direction:rtl">من دراسة الدوائر المقاومة، من المفهوم أن استخدام مجموعة متوازية متسلسلة بمثابة استراتيجية فعالة لتبسيط الدوائر. يمكن ترتيب المكثفات داخل الدائرة بإحدى طريقتين: تكوين متسلسل أو تكوين متواز. ستؤثر الطريقة التي يتم بها توصيل هذه المكثفات بالبطارية على كل من الانخفاض المحتمل عبر كل مكثف فردي وحجم الشحنة التي يمكن لكل مكثف تخزينها. يتم تحديد ذلك حسب نوع الاتصال المحدد الموجود. لتبسيط هذا السيناريو، يمكن استبدال مجموعة المكثفات بمكثف واحد مكافئ. هذا المكثف المكافئ قادر على تخزين كمية مماثلة من الشحنة مثل المجموعة الأصلية عندما يتعرض لنفس فرق الجهد. عندما يكون هناك توصيل متوازٍ للمكثفات N، فإن جميعها تشترك في نفس الجهد عبرها. يتم إعطاء السعة المكافئة لمثل هذا التكوين بواسطة <img alt="Equation1" src="/files/ftp_upload/15087/15087_PT_Equation_1.svg" style="text-align: center; height: 14px;"> من المهم ملاحظة أن السعة المكافئة للمكثفات N المتصلة على التوازي تساوي إجمالي سعاتها الفردية. بالانتقال الآن إلى السيناريو حيث تكون المكثفات N مترابطة في سلسلة، نلاحظ أن نفس التيار i، وبالتالي نفس الشحنة، يتدفق عبر جميع المكثفات. يتم تمثيل السعة المكافئة لهذا الإعداد ك <img alt="Equation2" src="/files/ftp_upload/15087/15087_PT_Equation_2.svg" style="text-align: center; height: 32px;"> على النقيض من التكوين الموازي، يتم حساب السعة المكافئة للمكثفات المتصلة على التوالي على أنها مقلوب مجموع مقلوبات السعة الفردية لكل مكثف.</div>

ضع في اعتبارك شبكة مكثفات معقدة مع ثلاث مجموعات من المكثفات متصلة بالتوازي ، ثم يتم توصيل هذه المجموعات في سلسلة مع بعضها البعض. ...

Education

JoVE Core

Electrical Engineering

الهندسة الكهربائية

Unit 1

الوحدة الأولى

Energy Storage Elements

عناصر تخزين الطاقة

KEY TERMS AND CONCEPTS

المصطلحات والمفاهيم الرئيسية

capacitors in series and parallel

Capacitors in series and parallel can be simplified by replacing the group with one equivalent capacitor. This equivalent capacitor stores the same charge as the original network when the same potential difference is applied. The idea helps make complex capacitor circuits easier to analyze.

In a parallel connection, capacitors share the same voltage across each branch. The equivalent capacitance of N capacitors in parallel is the sum of their individual capacitances. This type of connection increases the total ability of the circuit to store charge.

In a series connection, the same current flows through each capacitor, and the same charge passes through them. The equivalent capacitance for N capacitors in series is found from the reciprocal of the sum of the reciprocals of each capacitance. This result is different from the parallel case and gives a smaller effective capacitance.

Capacitors in Series and Parallel

capacitors

Capacitor Charge and Discharge

Capacitors store electric energy and help control signals in devices like car radios. They work by holding charge on two parallel conducting plates with a dielectric, which is the insulating material between the plates. When a voltage source is connected, positive charge builds up on one plate and negative charge builds up on the other. This charge separation creates a potential difference, and it keeps increasing until it matches the source voltage. The electric field inside the capacitor...

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Capacitance in Series and Parallel

Capacitors in series and parallel affect a circuit in different ways. These arrangements change the total capacitance, which is the circuit's overall ability to store charge. Knowing the difference helps explain how a circuit responds to signals. When capacitors are connected in series to a battery, the plate tied to the battery's positive terminal becomes positively charged. The plate connected to the negative terminal becomes negatively charged. The other plates develop equal and opposite...

equivalent capacitance

Capacitors in series and parallel can be simplified by replacing the group with one equivalent capacitor. This equivalent capacitor stores the same charge as the original network when the same potential difference is applied. The idea helps make complex capacitor circuits easier to analyze. In a parallel connection, capacitors share the same voltage across each branch. The equivalent capacitance of N capacitors in parallel is the sum of their individual capacitances. This type of connection...

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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...

design example: automobile ignition system

design-example-automobile-ignition-system

Car Spark Coil Voltage Design Example

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key terms and concepts

Learn how capacitors behave in series and parallel, and how to find equivalent capacitance by adding capacitances in parallel or using reciprocals in series.

Capacitors in Series and Parallel | 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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Design and construct series and parallel circuits that model real-world circuits such as in-home wiring, automobile wiring, and simple electrical devices to evaluate the transfer of electrical energy

Magnetism

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Design, evaluate, and refine a device that generates electrical energy through the interaction of electric charges and magnetic fields

IPC.6.B

Energy

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Conservation of Energy

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Conservation of Energy: Application

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IPC.6.C

Mechanisms of Heat Transfer I

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Investigate and demonstrate the movement of thermal energy through solids, liquids, and gases by convection, conduction, and radiation such as weather, living, and mechanical systems.

IPC.6.D

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Wave Parameters

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Electromagnetic Waves

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Propagation Speed of Electromagnetic Waves

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Energy Carried By Electromagnetic Waves

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Intensity Of Electromagnetic Waves

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Plan and conduct an investigation to evaluate the transfer of energy or information through different materials by different types of waves such as wireless signals, ultraviolet radiation, and microwaves.

IPC.6.E

Interference and Superposition of Waves

When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect ...

Reflection of Waves

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Reflection and Refraction

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Interference and Diffraction

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Construct and communicate an evidence-based explanation for how wave interference, reflection, and refraction are used in technology such as medicine, communication, and scientific research.

IPC.6.F

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Biofuels: Producing Ethanol from Cellulosic Material

Source: Laboratories of Margaret Workman and Kimberly Frye - Depaul University
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Nuclear Power

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Sustainable Development

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Climate Change

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Global Climate Change

Throughout its ~4.5 billion year history, the Earth has experienced periods of warming and cooling. However, the current drastic increase in global ...

Evaluate evidence from multiple sources to critique the advantages and disadvantages of various renewable and nonrenewable energy sources and their impact on society and the environment.

IPC.6.G

Science concepts. The student knows the impact of energy transfer and energy conservation in everyday life. The student is expected to:

Capacitors in Series and Parallel

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