LESSON-1-Capacitors-and-Electric-Circuit

General Concepts

  • Electricity Basics

    • Study of electric currents and circuits.

Capacitor

  • Definition

    • A capacitor is a passive device that stores electrical charge when connected to a voltage source.

Capacitor Structure

  • Basic Form

    • Comprises two or more parallel conductive plates separated by an insulating layer called the dielectric.

Capacitance

  • Definition

    • Capacitance measures a capacitor's ability to store charge, measured in Farads (F), named after Michael Faraday.

  • Units of Capacitance

    • Millifarad (mF): 1 mF = 0.001 F

    • Microfarad (μF): 1 μF = 0.000001 F

    • Nanofarad (nF): 1 nF = 0.000000001 F

    • Picofarad (pF): 1 pF = 0.000000000001 F

      Capacitance Value - the amount of electric charge that can be store on its plates

Factors Affecting Capacitance

  • Surface Area (A)

    • Larger plates = greater capacitance.

  • Distance (d)

    • Shorter distance = greater capacitance.

  • Dielectric Material

    • Material used affects capacitance; higher permittivity = greater capacitance.

Key Formulas

  • Capacitance Formula

    • C = ε0 * (A/d)

    • ε0 = permittivity of free space (8.85 x 10^-12 C²/N·m²)

    • A = plate area (m²), d = distance between plates (m).

  • Charge Stored

    • Q = C * ∆V

    • Q = charge in Coulombs (C), C = capacitance in Farads (F), ∆V = voltage in Volts (V).

Electric Circuits

  • Definition

    • A circuit is a path for electric current, comprising a power source, conductors, load, and switches.

Types of Circuits

  • Series Circuit

    • Components connected in a single path with no branches.

  • Parallel Circuit

    • Components connected with multiple paths for electricity flow.

  • Open Circuit

    • Breaks current flow.

  • Closed Circuit

    • Complete path for current flow.

  • Short Circuit

    • Low-resistance path causing excessive current flow.

Capacitors in Arrangements

  • In Series

    • Identical charge across capacitors.

    • Use formula:

      • 1/C_total = 1/C1 + 1/C2 + 1/C3

  • In Parallel

    • All positive and negative plates connected together.

    • Use formula:

      • C_total = C1 + C2 + C3

Example Calculations

  • Capacitance Example

    • Find total capacitance in series and parallel arrangements based on sample values.