Name: capacitor charge and discharge
Uploaded: 2024-04-11T12:48:38.000Z
Duration: 1 min 15 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Chemistry and Physics

IPC.6

IPC.6.A

Capacitors

Os rádios automotivos utilizam capacitores para filtrar frequências para uma recepção de sinal clara.
Os capacitores consistem em duas placas condutoras paralelas separadas por um dielétrico e armazenam energia em seu campo elétrico.
Ao conectar uma fonte de tensão, cargas positivas e negativas se acumulam em placas opostas, gerando uma diferença de potencial que é igual ao produto do campo elétrico e à distância entre as placas até atingir a tensão da fonte.
O campo elétrico é proporcional à densidade de carga, dada pela carga total dividida pela área das placas.
A carga armazenada é diretamente proporcional à tensão aplicada, e a constante de proporcionalidade, conhecida como capacitância, indica a quantidade de carga armazenada para criar uma determinada diferença de potencial. É medido em farads.
Para capacitores com dielétrico, a capacitância é diretamente proporcional à área da placa e à permissividade dielétrica, mas inversamente proporcional à distância entre as placas.
Diferenciar a equação carga-tensão de um capacitor em relação ao tempo fornece a corrente.
Os capacitores carregados descarregam quando conectados a uma carga e os elétrons fluem na direção inversa até que o potencial chegue a zero.

capacitores

Os capacitores desempenham um papel crucial nos rádios automotivos, onde filtram e armazenam frequências para garantir uma recepção clara do sinal. Servindo essencialmente como dispositivos de armazenamento de energia, os capacitores armazenam energia dentro de seu campo elétrico e são compostos por duas placas condutoras paralelas separadas por um dielétrico.

Quando uma fonte de tensão é conectada a um capacitor, cargas positivas e negativas se acumulam nas placas opostas. Esse acúmulo gera uma diferença de potencial que é igual ao produto do campo elétrico pela distância entre as placas. Este processo continua até que a diferença de potencial atinja a tensão da fonte.

O campo elétrico dentro de um capacitor é proporcional à carga armazenada nas placas e à área das placas. A carga armazenada é diretamente proporcional à tensão aplicada. A constante de proporcionalidade nesta relação é conhecida como capacitância, que indica a quantidade de carga necessária para criar uma determinada diferença de potencial. A unidade usada para medir a capacitância é o Farad.

Para capacitores de placas paralelas, a capacitância é diretamente proporcional à área da placa e à permissividade do dielétrico, que é a capacidade do material de armazenar energia elétrica. Entretanto, a capacitância é inversamente proporcional à distância entre as placas; quanto mais próximas as placas, maior será a capacitância.

Ao diferenciar a equação carga-tensão de um capacitor em relação ao tempo, pode-se derivar a corrente que flui através do capacitor. Isto é particularmente importante quando se considera como os capacitores se comportam em projetos de circuitos.

Além disso, quando um capacitor carregado é conectado a uma carga, ele descarrega. Durante este processo de descarga, os elétrons fluem na direção inversa até que a diferença de potencial nas placas chegue a zero. Essa capacidade de armazenar e liberar energia elétrica torna os capacitores componentes inestimáveis em muitos dispositivos eletrônicos. Ao compreender como funcionam, os engenheiros podem projetar sistemas eletrônicos mais eficazes e eficientes.

Capacitores

Os rádios automotivos utilizam capacitores para filtrar frequências para uma recepção de sinal clara.
Os capacitores consistem em duas placas condutoras paralelas separadas por um ...

Education

JoVE Core

Electrical Engineering

Engenharia Elétrica

Unit 1

Unidade 1

Energy Storage Elements

Elementos de Armazenamento de Energia

KEY TERMS AND CONCEPTS

TERMOS-CHAVE E CONCEITOS

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 depends on the charge on the plates and the plate area.

The amount of charge stored is directly proportional to the applied voltage. The constant that links charge and voltage is called capacitance, and it is measured in farads. For a parallel plate capacitor, capacitance increases with larger plate area and with higher permittivity of the dielectric. Permittivity describes how well a material stores electrical energy. Capacitance also decreases when the plates are farther apart, so closer plates give a higher capacitance.

Capacitors also affect current in circuits. If the charge-voltage equation is differentiated with respect to time, it gives the current through the capacitor. When a charged capacitor is connected to a load, it discharges. Electrons then flow in the reverse direction until the potential difference drops to zero. This ability to store and release energy makes capacitors important in many electronic systems.

Capacitor Charge and Discharge

capacitors

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

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 capacitors store charge, build potential difference, and discharge in circuits. See how plate area, distance, and dielectric affect capacitance.

Capacitor Charge and Discharge | 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

Resistors In Series

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Resistors In Parallel

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Combination Of Resistors

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Energy Transfer in Chemical Reactions

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Car radios utilize capacitors to filter frequencies for clear signal reception.
Capacitors consist of two parallel conducting plates separated by a ...

Energy Stored in Capacitors

A parallel plate capacitor connected to a battery develops a potential difference across its plates.
By integrating the equation relating voltage and ...

Series and Parallel Capacitors

Capacitors can be connected in series and/or parallel configurations within a circuit.
Consider the capacitors connected in series to a battery; the plate ...

Equivalent Capacitance

Consider a complex capacitor network with three groups of capacitors connected in parallel, and these groups are then connected in series with each other. ...

Inductors

Inductors, often referred to as coils or chokes, play a crucial role in various electronics and power systems.
In essence, any conductor through which an ...

Energy Stored in Inductors

An inductor is designed to store energy in its magnetic field, which is generated by the current flowing through its coils.
When the current is constant, ...

Series and Parallel Inductors

Inductors connected in series and/or parallel configurations can be simplified to an equivalent single inductor.
Consider a series connection of inductors ...

Design Example: Automobile Ignition System

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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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Magnetic Fields

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DC Generator

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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

The universe is composed of matter in different forms, and all forms of matter contain energy.&#160; The different forms of energy on Earth originate from ...

Conservation of Energy

The terms &#39;conserved quantity&#39;&#160;and &#39;conservation law&#39;&#160;have specific scientific meanings in physics, which differ from the ...

Conservation of Energy: Application

When solving problems using the energy conservation law, the object (system) to be studied should first be identified. Often, in applications of energy ...

Simple Harmonic Motion

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Simple Pendulum

A simple pendulum consists of a small diameter ball suspended from a string, which has negligible mass but is strong enough to not stretch. In our daily ...

Frequency of Spring-Mass System

One interesting characteristic of the simple harmonic motion (SHM) of an object attached to a spring is that the angular frequency, and the period and ...

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Plan and conduct an investigation to provide evidence that energy is conserved within a closed system.

IPC.6.C

Mechanisms of Heat Transfer I

Just as interesting as the effects of heat transfer on a system are the methods by which the heat transfer occur. Whenever there is a temperature ...

Mechanisms of Heat Transfer II

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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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Velocity and Acceleration of a Wave

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Speed of a Transverse Wave

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Energy and Power of a Wave

The total energy associated with a wavelength is the sum of the potential energy and the kinetic energy. The average rate of energy transfer associated ...

Electromagnetic Waves

James Clerk Maxwell formulated a single theory combining all the electric and magnetic effects scientists knew during that time, calling the phenomena his ...

propagation-speed-of-electromagnetic-waves

Propagation Speed of Electromagnetic Waves

Electromagnetic waves are consistent with Ampere&#39;s law. Assuming there is no conduction current Ampere&#39;s law is given as:


Consider a plane ...

Electromagnetic Waves in Matter

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Energy Carried By Electromagnetic Waves

Anyone who has used a microwave oven knows there is energy in electromagnetic waves. Sometimes, this energy is obvious, such as in the summer sun&#39;s ...

Intensity Of Electromagnetic Waves

The energy transport per unit area per unit time, or the Poynting vector, gives the energy flux of an electromagnetic wave at any specific time. For a ...

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

When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at ...

Reflection and Refraction

Source: Derek Wilson,&#160;Asantha Cooray, PhD, Department of Physics &#38; Astronomy, School of Physical Sciences, University of California, Irvine, CA
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Interference and Diffraction

Source: Yong P. Chen, PhD, Department of Physics &#38; Astronomy, College of Science, Purdue University, West Lafayette, IN
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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:

Capacitor Charge and Discharge

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