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

K12 Standards

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New Jersey Student Learning Standards for Science

High School

Physical Science

Energy

HS-PS3-2

Energy Stored in Capacitors

Un condensador de placa paralela conectado a una batería desarrolla una diferencia de potencial a través de sus placas.
Al integrar la ecuación que relaciona el voltaje y la corriente, se determina una ecuación para el voltaje a través del condensador en un momento dado.
Los condensadores poseen memoria, lo que significa que su voltaje depende del flujo de corriente pasado.
La potencia instantánea entregada a un condensador se integra a lo largo del tiempo para determinar la energía almacenada en el condensador.
Un condensador sin carga tiene un voltaje cero. Entonces, la energía almacenada en el condensador se determina en términos de carga y capacitancia, que representa la energía presente en el campo eléctrico entre las placas.
Esta energía se puede recuperar ya que un condensador ideal no disipa energía.
Un condensador no ideal tiene una resistencia a las fugas de modelo paralelo, generalmente lo suficientemente alta como para ser descuidada en la mayoría de las aplicaciones prácticas.
Un condensador puede cargarse cuando se conecta a una batería, pero actúa como un circuito abierto a voltaje de CC.
El voltaje a través de un condensador es siempre continuo y no puede cambiar bruscamente.

energía almacenada en condensadores

Un condensador de placas paralelas, cuando se conecta a una batería, desarrolla una diferencia de potencial entre sus placas. Esta diferencia de potencial es clave para el funcionamiento del condensador, ya que determina cuánta energía eléctrica puede almacenar el condensador. Al integrar la ecuación que relaciona el voltaje y la corriente en un capacitor, se puede derivar una ecuación para el voltaje a través del capacitor en un momento dado. Esta ecuación es crucial para comprender y predecir el comportamiento de los condensadores en circuitos electrónicos. Una propiedad interesante de los condensadores es que poseen una especie de memoria. El voltaje a través de un capacitor en cualquier momento depende del flujo pasado de corriente a través de él. Esto significa que los condensadores pueden "recordar" su historial de carga y descarga, lo que puede resultar útil en diversas aplicaciones, como el almacenamiento de memoria en ordenadores. La potencia instantánea entregada a un condensador se puede utilizar para determinar la cantidad de energía almacenada en el condensador. Si consideramos que un condensador descargado en el tiempo es igual a menos infinito, tiene voltaje cero. Esto significa que la energía almacenada en el condensador se puede determinar en términos de carga y capacitancia. Esto representa la energía presente en el campo eléctrico entre las placas. Esta energía almacenada se puede recuperar en términos de potencia, ya que un condensador ideal no disipa energía. Sin embargo, los condensadores del mundo real no son ideales. Un condensador no ideal tiene una resistencia de fuga de modelo paralelo, pero esta suele ser lo suficientemente alta como para despreciarse en la mayoría de las aplicaciones prácticas. Una característica única de los condensadores es que actúan como un circuito abierto al voltaje de corriente continua (CC), pero pueden cargarse cuando se conectan a una batería. Esta propiedad permite que los condensadores bloqueen la CC mientras dejan pasar la corriente alterna (CA). Otra característica importante de los condensadores es que el voltaje a través de ellos es siempre continuo y no puede cambiar abruptamente. Este comportamiento es esencial en muchas aplicaciones, como suavizar el voltaje en fuentes de alimentación y filtrar el ruido en el procesamiento de señales. En conclusión, comprender los condensadores, sus propiedades y su comportamiento en los circuitos es un aspecto fundamental de la electrónica. Permite a los ingenieros diseñar y construir sistemas electrónicos complejos que son parte integral de la vida moderna.

Energía almacenada en condensadores

Un condensador de placa paralela conectado a una batería desarrolla una diferencia de potencial a través de sus placas.
Al integrar la ecuación que relaciona el voltaje y ...

Education

Educación

JoVE Core

Electrical Engineering

Ingeniería Eléctrica

Unit 1

Unidad 1

Energy Storage Elements

Elementos de almacenamiento de energía

KEY TERMS AND CONCEPTS

TÉRMINOS Y CONCEPTOS CLAVE

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 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

Texas Essential Knowledge and Skills

Chemistry and Physics

IPC.6

IPC.6.A

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South Carolina College and Career Ready Science Standards

Physics

motion-and-stability-forces-and-interactions

Motion and Stability: Forces and Interactions

P-PS2-5

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HS-PS3-1

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Clarification statement: Examples of phenomena at the macroscopic scale could include the conversion of kinetic energy to thermal energy, the energy stored due to position of an object above the earth, and the energy stored between two electrically-charged plates. Examples of models could include diagrams, drawings, descriptions, and computer simulations.

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Clarification statement: Emphasis is on both qualitative and quantitative evaluations of devices. Examples of devices could include Rube Goldberg devices, wind turbines, solar cells, solar ovens, and generators. Examples of constraints could include use of renewable energy forms and efficiency. 

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HS-PS3-3

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Statements of the Second Law of Thermodynamics

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Internal Energy

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Plan and conduct an investigation to provide evidence that the transfer of thermal energy when two components of different temperature are combined within a closed system results in a more uniform energy distribution among the components in the system (second law of thermodynamics). 

Clarification statement: Emphasis is on analyzing data from student investigations and using mathematical thinking to describe the energy changes both quantitatively and conceptually. Examples of investigations could include mixing liquids at different initial temperatures or adding objects at different temperatures to water. 

Assessment Boundary: Assessment is limited to investigations based on materials and tools provided to students.

HS-PS3-4

Maxwell's Equation Of Electromagnetism

James Clerk Maxwell (1831&#x2013;1879) was one of the major contributors to physics in the nineteenth century. Although he died young, he made major ...

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In addition to the electric forces between electric charges, moving electric charges exert magnetic forces on each other. A magnetic field is created by a ...

Magnetic Fields

Source: Yong P. Chen, PhD, Department of Physics &#38; Astronomy, College of Science, Purdue University, West Lafayette, IN
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Source: Yong P. Chen, PhD, Department of Physics &#38; Astronomy, College of Science, Purdue University, West Lafayette, IN
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Assessment Boundary: Assessment is limited to systems containing two objects.

HS-PS3-5

Capacitor Voltage and Charge Behavior

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