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)
Capacitance Сыйымдылық
Capacitor Конденсатор
Charge Заряд
Electric Field Электр өрісі
Potential Difference Потенциал 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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