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

קבל לוח מקביל המחובר לסוללה מפתח הפרש פוטנציאלים בין הלוחות.
על ידי שילוב המשוואה המתייחסת למתח ולזרם, נקבעת משוואה עבור המתח על פני הקבל בכל זמן נתון.
לקבלים יש זיכרון, כלומר המתח שלהם תלוי בזרימת זרם העבר.
הכוח המיידי המועבר לקבל משולב לאורך זמן כדי לקבוע את האנרגיה המאוחסנת בקבל.
קבל לא טעון הוא בעל מתח אפס. לכן, האנרגיה המאוחסנת בקבל נקבעת במונחים של מטען וקיבול, המייצג את האנרגיה הקיימת בשדה החשמלי בין הלוחות.
ניתן לאחזר אנרגיה זו מכיוון שקבל אידיאלי אינו מפזר אנרגיה.
קבל לא אידיאלי הוא בעל עמידות בפני זליגה בדגם מקבילי, בדרך כלל גבוהה מספיק כדי להזניח אותו ברוב היישומים המעשיים.
קבל יכול להיטען כאשר הוא מחובר לסוללה, אך פועל כמעגל פתוח למתח DC.
המתח על פני קבל הוא תמיד רציף ואינו יכול להשתנות בפתאומיות.

אנרגיה מאוחסנת בקבלים

<div style="direction:rtl">קבל לוחות מקבילים, כאשר הוא מחובר לסוללה, מפתח הפרש פוטנציאל על פני הלוחות שלו. הבדל פוטנציאלי זה הוא המפתח לפעולת הקבל, מכיוון שהוא קובע כמה אנרגיה חשמלית יכול הקבל לאגור. על ידי שילוב המשוואה המקשרת בין מתח וזרם בקבל, ניתן לגזור משוואה עבור המתח על פני הקבל בכל זמן נתון. משוואה זו חיונית בהבנה ובניבוי ההתנהגות של קבלים במעגלים אלקטרוניים. מאפיין מעניין אחד של קבלים הוא שיש להם סוג של זיכרון. המתח על פני קבל בכל רגע תלוי בזרם העבר של הזרם דרכו. המשמעות היא שקבלים יכולים "לזכור" את היסטוריית הטעינה והפריקה שלהם, מה שיכול להיות שימושי ביישומים שונים כמו אחסון זיכרון במחשבים. ניתן להשתמש בכוח המיידי המועבר לקבל כדי לקבוע את כמות האנרגיה האצורה בקבל. אם ניקח בחשבון שקבל לא טעון בזמן שווה למינוס אינסוף, יש לו מתח אפס. המשמעות היא שניתן לקבוע את האנרגיה האצורה בקבל במונחים של מטען וקיבול. זה מייצג את האנרגיה הקיימת בשדה החשמלי בין הלוחות. אנרגיה מאוחסנת זו ניתנת לשליפה במונחים של הספק מכיוון שקבל אידיאלי אינו מפזר אנרגיה. עם זאת, קבלים בעולם האמיתי אינם אידיאליים. לקבל לא אידיאלי יש התנגדות דליפה בדגם מקביל, אבל היא בדרך כלל גבוהה מספיק כדי להזניח ברוב היישומים המעשיים. מאפיין ייחודי של קבלים הוא שהם פועלים כמעגל פתוח למתח זרם ישר (DC), אך יכולים להיטען כאשר הם מחוברים לסוללה. מאפיין זה מאפשר לקבלים לחסום DC תוך מתן לזרם חילופין (AC) לעבור. תכונה חשובה נוספת של קבלים היא שהמתח על פניהם תמיד רציף ואינו יכול להשתנות באופן פתאומי. התנהגות זו חיונית ביישומים רבים, כגון החלקת מתח בספקי כוח וסינון רעשים בעיבוד אותות. לסיכום, הבנת קבלים, תכונותיהם והתנהגותם במעגלים היא היבט בסיסי של האלקטרוניקה. דבר זה מאפשר למהנדסים לתכנן ולבנות מערכות אלקטרוניות מורכבות שהן חלק בלתי נפרד מהחיים המודרניים.</div>

קבל לוח מקביל המחובר לסוללה מפתח הפרש פוטנציאלים בין הלוחות.
על ידי שילוב המשוואה המתייחסת למתח ו...

Education

JoVE Core

Electrical Engineering

הנדסה חשמלית

Unit 1

יחידה 1

Energy Storage Elements

רכיבי אגירת אנרגיה

KEY TERMS AND CONCEPTS

מונחי מפתח ומושגי יסוד

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

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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