Understanding Ohm's Law Fundamentals

Mar 3, 2025

Ohm's Law Lecture Notes

Introduction

  • Presenter: Paul from theengineeringmindset.com
  • Focus: Understanding and applying Ohm's Law
  • Includes: Two problems to test knowledge

What is Ohm's Law?

  • Relationship between voltage, current, and resistance
  • Developed by German physicist Georg Ohm
  • Ohm's experiments involved measuring current by physical sensation

Formulas for Ohm's Law

  • Voltage (V) = Current (I) × Resistance (R)
  • Current (I) = Voltage (V) ÷ Resistance (R)
  • Resistance (R) = Voltage (V) ÷ Current (I)
  • Use "Ohm's Triangle" (V-I-R) to easily remember formulas
  • Free PDF guide available for download

Ohm's Triangle Method

  • Draw a triangle with V on top
  • Cover the letter you need to find:
    • For V = I × R (voltage)
    • For I = V ÷ R (current)
    • For R = V ÷ I (resistance)

Understanding the Symbols

  • I for current derives from "intensité du courant"
  • A for Ampere, named after Andre Ampere
  • E may replace V, stands for Electromotive Force (EMF)

Examples and Practice

Finding Voltage

  • Example: Circuit with unknown battery voltage
    • Resistor: 3 Ohms
    • Current: 2 Amps
    • Calculation: V = I × R = 2 Amps × 3 Ohms = 6 volts
    • Doubling voltage doubles current (directly proportional)

Finding Current

  • Example: 3 Amp lamp with 6 volt power supply
    • Calculation: I = V ÷ R = 6 volts ÷ 3 Ohms = 2 Amps
    • Doubling resistance reduces current by half (inversely proportional)

Finding Resistance

  • Example: 12 volt power supply with unknown resistance
    • Current: 0.5 Amps
    • Calculation: R = V ÷ I = 12 volts ÷ 0.5 Amps = 24 Ohms

Key Relationships

  • Current is directly proportional to voltage
  • Current is inversely proportional to resistance

Practical Applications

  • Voltage pushes electrons through circuits
  • Resistance controls the flow of electrons
  • Increasing voltage or decreasing resistance increases current

Practice Problems

  1. Lamp with 240 Ohms resistance in the US (120 volts): Find current
  2. Same lamp in the UK, current 0.958 Amps: Find voltage

Conclusion

  • Links to answers and solutions available
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