General physics
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    Learning Objectives:

    Learning Objectives

    • Understand the concept of capacitance and its role in electrical circuits.
    • Learn how capacitors store and release electrical energy.
    • Apply mathematical formulas to calculate capacitance, charge, and energy.
    Language Goals:

    Language Goals

    • Familiarize with scientific terms related to capacitance.
    • Practice explaining how capacitors work in English.
    • Improve comprehension of scientific texts about capacitors and electrical circuits.
    Terminology:

    Terminology

    Term (English)Translation (Kazakh)
    CapacitanceСыйымдылық
    CapacitorКонденсатор
    ChargeЗаряд
    Electric FieldЭлектр өрісі
    Potential DifferenceПотенциал айырмасы
    Glossary:

    Glossary

    Capacitance: The ability of a system to store charge per unit potential difference.

    Перевод
    Жүйенің бірлік потенциал айырмасында зарядты сақтау қабілеті.

    Capacitor: A device used to store electrical energy in an electric field.

    Перевод
    Электр өрісінде электр энергиясын сақтау үшін қолданылатын құрылғы.

    Charge: The property of matter that causes it to experience a force in an electric field.

    Перевод
    Заттың электр өрісінде күшке ұшырауына себеп болатын қасиеті.

    Potential Difference: The work done per unit charge to move a charge between two points in an electric field.

    Перевод
    Электр өрісіндегі екі нүкте арасындағы зарядты жылжыту үшін жасалатын жұмыс бірлігі.

    Theory:

    Theory

    Capacitance is the measure of a capacitor’s ability to store charge. The formula for capacitance is:

    C = Q/V

    Where:

    • *C* is the capacitance in farads (F),
    • *Q* is the charge stored in coulombs (C),
    • *V* is the potential difference across the capacitor in volts (V).

    A capacitor consists of two conductive plates separated by an insulating material called a *dielectric*. When a voltage is applied, an electric field (-field-) develops across the plates, causing one plate to accumulate positive charge and the other negative charge.

    Exercises on Memorization:

    Exercises on Memorization

    1. Define «capacitance» in your own words.
    2. Explain how the potential difference affects the charge stored in a capacitor.
    3. Match the following terms with their definitions:
      • Capacitance
      • Charge
      • Potential Difference
      • Electric Field
    Video Tutorial:

    Video Tutorial


    Examples:

    Examples

    Example: A capacitor has a capacitance of 10 µF and a potential difference of 5 V across it. Calculate the charge stored.

    Capacitor calculation example

    Solution
    Using Q = C × V:
    Q = (10 × 10⁻⁶ F)(5 V) = 50 × 10⁻⁶ C = 50 µC.

    Investigation Task:

    Investigation Task

    Use the simulation below to explore the relationship between capacitance, voltage, and charge:


    Answer
    Increasing the plate area increases capacitance. Increasing the separation between plates decreases capacitance. Adding a dielectric increases the stored charge for the same voltage.
    Collaborative Activity:

    Collaborative Activity

    In pairs or groups, design a circuit that uses capacitors to smooth out voltage fluctuations. Present your design and explain how the capacitors function in the circuit.

    Additional Resources:

    Additional Resources

    Visit Save My Exams for more practice questions and resources on capacitance.

    Reflection:

    Reflection

    Reflect on today’s lesson by answering the following:

    • What is one key concept you learned about capacitance?
    • What challenges did you face in understanding capacitors?
    • How can capacitors be applied in real-world technologies?
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