Basics of Resistors and Circuit Functionality

Sep 1, 2024

Introduction to Electronics Lecture Notes

Overview of Resistors

  • Definition: Resistors limit the amount of current flowing in a circuit.
  • Key Formula: Ohm's Law - V = IR
    • V: Voltage (Volts)
    • I: Current (Amps)
    • R: Resistance (Ohms)

Current Calculation Example

  • Battery Example:
    • 12V battery attached to a resistor.
    • Conventional Current Flow: positive terminal ➔ resistor ➔ negative terminal.
    • Electron Flow: negative terminal ➔ positive terminal.

Resistance and Current Relationship

  • Increasing resistance decreases current.
  • Examples:
    • 3 ohms: 12V / 3Ω = 4A
    • 6 ohms: 12V / 6Ω = 2A

Power Rating of Resistors

  • Power Calculation:
    • Power (P) = Voltage (V) x Current (I)
    • Alternative Formulas:
      • P = I²R
      • P = V²/R
  • Max Voltage Calculation:
    • Formula: V = √(P × R)

Example of Power Rating

  • 100Ω resistor, 1.5W power rating:
    • Max voltage should be ≤ √(1.5W × 100Ω)
    • V ≈ 7.07V (to avoid overheating)

Connecting Resistors

Series vs. Parallel Connections

  • Series Connection:

    • Total Resistance = R1 + R2 + ...
    • Only one path for current.
  • Parallel Connection:

    • Total Resistance = 1/(1/R1 + 1/R2 + ...)
    • Multiple paths for current.

Current and Voltage in Series and Parallel Circuits

  • In series: Current (I) is the same through all resistors (I1 = I2 = I3).
  • In parallel: Voltage (V) is the same across all resistors (V1 = V2 = V3).

Light Bulbs and LEDs

Incandescent Light Bulbs

  • Process: Incandescence - metal filament emits light when heated.
  • Efficiency: Generates heat, not very efficient.

Light Emitting Diodes (LEDs)

  • Efficiency: Converts electricity into light with minimal heat.
  • Specifications: Typical voltage drop = 2V; current range = 0.1mA to 20mA.

Using Current Limiting Resistors with LEDs

  • In a circuit with a 9V battery and 2V LED:
    • Voltage across the resistor = 7V.
    • Current limiting resistor calculation using Ohm's Law:
      • 7V / 10mA = 700Ω.

Potentiometers

  • Definition: Variable resistors used to adjust resistance in a circuit.
  • Applications: Brightness control in LEDs, adjustable voltage outputs.
  • Example: 100k potentiometer with points A, B, C:
    • Resistance between A and C varies; total resistance remains constant.

Voltage Divider Networks

  • Formula: Vout = Vin × (R2 / (R1 + R2))
  • Adjusting a potentiometer in a voltage divider can change output voltage across R2.

Solar Cells

  • Function: Converts light energy into electricity, used as a power source (DC).

Additional Resources

  • For more information on electronics topics, links and playlists available in the video description.
  • Equipment used for circuits available through an Amazon store link.