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

Autoradios verwenden Kondensatoren, um Frequenzen für einen klaren Signalempfang zu filtern.
Kondensatoren bestehen aus zwei parallel leitenden Platten, die durch ein Dielektrikum getrennt sind und Energie in ihrem elektrischen Feld speichern.
Beim Anschließen einer Spannungsquelle sammeln sich positive und negative Ladungen auf gegenüberliegenden Platten an und erzeugen eine Potentialdifferenz, die dem Produkt des elektrischen Feldes und dem Abstand zwischen den Platten bis zum Erreichen der Quellenspannung entspricht.
Das elektrische Feld ist proportional zur Ladungsdichte, die sich aus der Gesamtladung dividiert durch die Fläche der Platten ergibt.
Die gespeicherte Ladung ist direkt proportional zur angelegten Spannung, und die Proportionalitätskonstante, die als Kapazität bezeichnet wird, gibt die Menge der gespeicherten Ladung an, um eine gegebene Potentialdifferenz zu erzeugen. Er wird in Farad gemessen.
Bei Kondensatoren mit einem Dielektrikum ist die Kapazität direkt proportional zur Plattenfläche und der dielektrischen Permittivität, aber umgekehrt proportional zum Abstand zwischen den Platten.
Differenziert man die Lade-Spannungs-Gleichung eines Kondensators in Bezug auf die Zeit, erhält man den Strom.
Geladene Kondensatoren entladen sich, wenn sie an eine Last angeschlossen sind, und die Elektronen fließen in umgekehrter Richtung, bis das Potential Null erreicht.

kondensatoren

Kondensatoren spielen eine entscheidende Rolle in Autoradios, wo sie Frequenzen filtern und speichern, um einen klaren Signalempfang zu gewährleisten. Kondensatoren, die im Wesentlichen als Energiespeicher dienen, speichern Energie in ihrem elektrischen Feld und bestehen aus zwei parallelen leitenden Platten, die durch ein Dielektrikum getrennt sind. Wenn eine Spannungsquelle an einen Kondensator angeschlossen wird, sammeln sich positive und negative Ladungen auf den gegenüberliegenden Platten. Diese Akkumulation erzeugt eine Potentialdifferenz, die dem Produkt aus elektrischem Feld und Abstand zwischen den Platten entspricht. Dieser Vorgang wird fortgesetzt, bis die Potentialdifferenz die Quellenspannung erreicht. Das elektrische Feld innerhalb eines Kondensators ist proportional zur auf den Platten gespeicherten Ladung und der Fläche der Platten. Die gespeicherte Ladung ist direkt proportional zur angelegten Spannung. Die Proportionalitätskonstante in dieser Beziehung wird als Kapazität bezeichnet und gibt die Ladungsmenge an, die erforderlich ist, um eine bestimmte Potenzialdifferenz zu erzeugen. Die zur Messung der Kapazität verwendete Einheit ist das Farad. Bei Parallelplattenkondensatoren ist die Kapazität direkt proportional zur Plattenfläche und zur Permittivität des Dielektrikums, also der Fähigkeit des Materials, elektrische Energie zu speichern. Unterdessen ist die Kapazität umgekehrt proportional zum Abstand zwischen den Platten; Je näher die Platten sind, desto höher ist die Kapazität. Indem man die Ladungs-Spannungs-Gleichung eines Kondensators nach der Zeit differenziert, kann man den durch den Kondensator fließenden Strom ableiten. Dies ist besonders wichtig, wenn man bedenkt, wie sich Kondensatoren in Schaltungsentwürfen verhalten. Wenn außerdem ein geladener Kondensator an eine Last angeschlossen wird, entlädt er sich. Bei diesem Entladungsprozess fließen Elektronen in umgekehrter Richtung, bis die Potentialdifferenz zwischen den Platten Null erreicht. Diese Fähigkeit, elektrische Energie zu speichern und abzugeben, macht Kondensatoren zu unschätzbaren Komponenten in vielen elektronischen Geräten. Durch das Verständnis ihrer Funktionsweise können Ingenieure effektivere und effizientere elektronische Systeme entwerfen.

Kondensatoren

Autoradios verwenden Kondensatoren, um Frequenzen für einen klaren Signalempfang zu filtern.
Kondensatoren bestehen aus zwei parallel leitenden Platten, die durch eine ...

Education

Lehre

JoVE Core

Electrical Engineering

Elektrotechnik

Unit 1

Einheit 1

Energy Storage Elements

Energiespeicherelemente

KEY TERMS AND CONCEPTS

WICHTIGE BEGRIFFE UND KONZEPTE

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

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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

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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

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Energy Stored in Capacitors

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Series and Parallel Capacitors

Capacitors can be connected in series and/or parallel configurations within a circuit.
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Equivalent Capacitance

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Inductors

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Energy Stored in Inductors

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When the current is constant, ...

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IPC.6.B

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IPC.6.E

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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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