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.