Name: capacitor voltage and charge behavior
Uploaded: 2024-04-11T12:48:38.000Z
Duration: 1 min 10 s
Channel: JoVE

K12 Standards

new-jersey-student-learning-standards-for-science

New Jersey Student Learning Standards for Science

High School

Physical Science

Energy

HS-PS3-2

Energy Stored in Capacitors

バッテリーに接続された平行プレートコンデンサは、プレート間に電位差を生じさせます。
電圧と電流に関する方程式を積分することにより、任意の時点でのコンデンサの両端の電圧の方程式が決定されます。
コンデンサはメモリを備えているため、電圧は過去の電流の流れに依存します。
コンデンサに供給される瞬間的な電力は、時間の経過とともに積分され、コンデンサに蓄積されたエネルギーを決定します。
充電されていないコンデンサの電圧はゼロです。したがって、コンデンサに蓄えられるエネルギーは、電荷と静電容量で決定され、これはプレート間の電界に存在するエネルギーを表します。
このエネルギーは、理想的なコンデンサがエネルギーを消費しないため、取り出すことができます。
非理想的なコンデンサには、並列モデルのリーク抵抗があり、通常はほとんどの実用的なアプリケーションで無視できるほど高いです。
コンデンサは、バッテリーに接続すると充電できますが、DC電圧への開回路として機能します。
コンデンサの両端の電圧は常に連続しており、急激に変化することはできません。

コンデンサに蓄えられるエネルギー

平行平板コンデンサをバッテリーに接続すると、その平板間に電位差が生じます。 この電位差は、コンデンサがどれだけの電気エネルギーを蓄えることができるかを決めるため、コンデンサ作動の鍵となります。

コンデンサの電圧と電流を関係付けるFigureを積分することにより、いつでもコンデンサの両端の電圧のFigureを導き出すことができます。 このFigureは、電子回路におけるコンデンサの動作を理解および予測する上で非常に重要です。

コンデンサの興味深い特性の 1 つは、コンデンサが一種の記憶を持っていることです。 コンデンサの両端の電圧はいつでも、コンデンサを流れる過去の電流に依存します。 これは、コンデンサが充電と放電の履歴を「記憶」できることを意味し、コンピュータのメモリストレージなどのさまざまな用途に役立ちます。

コンデンサに供給される瞬間電力を使用して、コンデンサに蓄えられるエネルギー量を推定できます。 時間がマイナス無限大に等しいときに充電されていないコンデンサを考慮すると、その電圧はゼロになります。 これは、コンデンサに蓄積されたエネルギーが電荷と静電容量の観点から決定できることを意味します。 これは、プレート間の電場に存在するエネルギーを表します。

理想的なコンデンサはエネルギーを散逸しないため、この蓄積されたエネルギーは電力として取り出すことができます。 ただし、現実のコンデンサは理想的ではありません。 非理想的なコンデンサには並列モデルの漏れ抵抗がありますが、これは通常、ほとんどの実際のアプリケーションでは無視できるほど十分に高いです。

コンデンサの独特の特性は、直流 (DC) 電圧に対しては開回路として機能しますが、バッテリに接続すると充電される可能性があることです。 この特性により、コンデンサは交流 (AC) を通過させながら DC を遮断することができます。

コンデンサのもう 1 つの重要な特徴は、両端の電圧が常に連続的であり、急激に変化できないことです。 この動作は、電源の電圧を平滑化したり、信号処理でノイズを除去したりするなど、多くのアプリケーションで不可欠です。

結論として、コンデンサ、その特性、回路内での動作を理解することは、エレクトロニクスの基本的な側面です。 これにより、エンジニアは現代の生活に不可欠な複雑な電子システムを設計および構築できます。

バッテリーに接続された平行プレートコンデンサは、プレート間に電位差を生じさせます。
電圧と...

Education

JoVE Core

Electrical Engineering

電気工学

Unit 1

ユニット1

Energy Storage Elements

エネルギー貯蔵素子

KEY TERMS AND CONCEPTS

主要用語と概念

capacitor voltage and charge behavior

Capacitor voltage and charge behavior depend on how a parallel plate capacitor connects to a battery. When the battery is attached, a potential difference forms across the plates. That voltage determines how much electrical energy the capacitor can store.

The voltage across a capacitor can be found by integrating the equation that links voltage and current. That relationship lets students predict the voltage at any moment during charging or discharging. It also shows why a capacitor keeps a record of its past current flow. In that sense, the capacitor has a kind of memory.

This memory effect means the voltage at one moment depends on what happened earlier in the circuit. That idea is useful in applications such as memory storage in computers. The instantaneous power delivered to the capacitor can then be used to calculate the energy stored in it.

If the capacitor starts uncharged at time equals minus infinity, its initial voltage is zero. From there, the stored energy can be written in terms of charge and capacitance. That energy is the energy in the electric field between the plates. An ideal capacitor can give that energy back because it does not dissipate energy.

Real capacitors are not perfect. A non-ideal capacitor has a parallel-model leakage resistance, but this resistance is usually high enough to ignore in most practical cases. Capacitors also act as an open circuit for direct current, yet they can still charge when connected to a battery. This is why they block DC while allowing alternating current to pass.

Another key feature is that capacitor voltage changes continuously. It cannot jump suddenly. This property is important in power supplies, where capacitors smooth voltage, and in signal processing, where they help filter out noise. Understanding these behaviors is a basic part of electronics and helps engineers build modern electronic systems.

Capacitor Voltage and Charge Behavior

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...

energy stored in capacitors

Capacitor voltage and charge behavior depend on how a parallel plate capacitor connects to a battery. When the battery is attached, a potential difference forms across the plates. That voltage determines how much electrical energy the capacitor can store. The voltage across a capacitor can be found by integrating the equation that links voltage and current. That relationship lets students predict the voltage at any moment during charging or discharging. It also shows why a capacitor keeps a...

series and parallel capacitors

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

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...

inductors

Inductors in Electric Circuits

Inductors are passive components used in electric circuits to store energy in a magnetic field. They are often made by coiling a wire around a magnetic core. This structure gives the component its inductive behavior and its ability to respond to changing current. When current flows through an inductor, the voltage across it is proportional to how quickly the current changes with time. This relationship is written using the passive sign convention, and the constant of proportionality is called...

energy stored in inductors

How Inductor Current Stores Magnetic Energy

An inductor stores energy in its magnetic field. That field is created by the current flowing through the coil. When the current stays steady, there is no measurable voltage across the inductor, so it behaves like a short circuit for direct current. The energy stored in an inductor is the total power delivered over time. It can be written as a function of inductance, L, and current, i, where the stored energy increases with the current in the coil. This relationship helps explain how much...

series and parallel inductors

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

An automobile ignition system uses a spark plug and a spark coil to create the high voltage needed to ignite the fuel-air mixture in each cylinder. The spark plug has two electrodes with an air gap between them. When enough voltage appears across that gap, a spark forms and starts combustion. A 12-volt car battery does not create that spark by itself. The system uses an inductor, which is a component that resists rapid changes in current, to build a much larger voltage. In this ignition setup,...

key terms and concepts

Learn how capacitor voltage builds, how charge stores energy, and why capacitors block DC, pass AC, and smooth voltage in circuits.

Capacitor Voltage and Charge Behavior | JoVE K12

JoVE Core 電気工学 は、電気回路の基本概念と回路解析テクニックを網羅したアニメーションビデオシリーズです。オペアンプと回路変換および 1 次・ 2 次回路の概念を網羅しています。実験を撮影した実写動画では、設計例や現代社会での応用が含まれており、複雑な概念も分かりやすく学習いただけます。

electrical engineering

Texas Essential Knowledge and Skills

Chemistry and Physics

IPC.6

IPC.6.A

south-carolina-college-and-career-ready-science-standards

South Carolina College and Career Ready Science Standards

Physics

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HS-PS3-5

Capacitor Voltage and Charge Behavior

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