Name: capacitors in series and parallel
Uploaded: 2024-04-11T12:48:39.000Z
Duration: 1 min 19 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Chemistry and Physics

IPC.6

IPC.6.A

Equivalent Capacitance

חשבו על רשת קבלים מורכבת עם שלוש קבוצות קבלים המחוברות במקביל, ולאחר מכן קבוצות אלה מחוברות בסדרות זו עם זו. קבע את הקיבול המקביל בין ההדקים של מעגל מורכב זה.
כדי לפתור זאת, הקבוצה בתחתית המעגל, המורכבת מארבעה קבלים המחוברים במקביל, מנותחת תחילה. סכום הקיבול שלהם נותן קיבול שווה ערך, המיוצג על ידי קבל יחיד C3.
לאחר מכן, הקבוצה האמצעית, שיש שלושה קבלים במקביל, נחשב. שוב, חיבור הקיבולות שלהם נותן את הקיבול המקביל C2.
לבסוף, שקול את הקבוצה העליונה, אשר יש שני קבלים במקביל. הקיבול המקביל מחושב ומיוצג באמצעות קבל אחד, C1.
כעת, המעגל המורכב פושט לשלושה קבלים המחוברים בסדרה.
כדי לקבוע את הקיבול המקביל עבור שילוב סדרות זה, נלקח סכום ההדדיות של כל קיבול, וכתוצאה מכך נוצר ההופכי של הקיבול המקביל.
עם סידור מחדש של התנאים, מתקבל הקיבול המקביל של כל המעגל בין הטרמינלים.

קיבול שווה ערך

<div style="direction:rtl">מהמחקר של מעגלים התנגדות, מובן כי שימוש בשילוב סדרתי מקביל משמש כאסטרטגיה יעילה לפישוט מעגלים. ניתן לסדר קבלים בתוך מעגל באחת משתי דרכים: תצורה סדרתית או תצורה מקבילה. האופן שבו קבלים אלה מחוברים לסוללה ישפיע הן על ירידת הפוטנציאל על פני כל קבל בודד והן על גודל המטען שכל קבל יכול לאחסן. זה נקבע לפי סוג החיבור הספציפי במקום. כדי לפשט תרחיש זה, ניתן להחליף את שילוב הקבלים בקבל שווה ערך יחיד. קבל שווה ערך זה מסוגל לאחסן כמות מטען זהה לשילוב המקורי כאשר הוא נתון לאותו הפרש פוטנציאל. כאשר יש חיבור מקביל של N קבלים, כולם חולקים את אותו המתח על פניהם. הקיבול המקביל לתצורה כזו ניתן על ידי <img alt="Equation1" src="/files/ftp_upload/15087/15087_PT_Equation_1.svg" style="text-align: center; height: 14px;"> חשוב לציין שהקיבול המקביל של N קבלים המחוברים במקביל שווה לסך הקיבולים האישיים שלהם. במעבר כעת לתרחיש שבו N קבלים מחוברים זה לזה בסדרה, נצפה כי אותו זרם i, וכתוצאה מכך אותו מטען, זורם דרך כל הקבלים. הקיבול המקביל של הגדרה זו מיוצג כ- <img alt="Equation2" src="/files/ftp_upload/15087/15087_PT_Equation_2.svg" style="text-align: center; height: 32px;"> בניגוד לתצורה המקבילה, הקיבול המקביל של קבלים המחוברים בסדרה מחושב כהדדיות של סכום ההדדיות של הקיבול האינדיבידואלי של כל קבל.</div>

חשבו על רשת קבלים מורכבת עם שלוש קבוצות קבלים המחוברות במקביל, ולאחר מכן קבוצות אלה מחוברות בסדרות זו עם זו. ...

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

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 increases the total ability of the circuit to store charge.

In a series connection, the same current flows through each capacitor, and the same charge passes through them. The equivalent capacitance for N capacitors in series is found from the reciprocal of the sum of the reciprocals of each capacitance. This result is different from the parallel case and gives a smaller effective capacitance.

Capacitors in Series and Parallel

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Capacitance in Series and Parallel

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equivalent capacitance

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...

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key terms and concepts

Learn how capacitors behave in series and parallel, and how to find equivalent capacitance by adding capacitances in parallel or using reciprocals in series.

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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:

Capacitors in Series and Parallel

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