Understanding Ohm's Law and Resistance

May 9, 2025

Ohm's Law Lecture Notes

Introduction to Electrical Resistance

  • Definition: Electrical resistance is the property of a substance that slows down the movement of electrons and converts electrical energy into other forms of energy.
  • Measurement Unit: Resistance is measured in ohms (Ω).
  • Measurement Tool: An ohmmeter can be used to measure resistance.

Resistors

  • Definition: A resistor is a component in a circuit with a specific resistance.
  • Purpose: Resistors control current or voltage to suit the needs of other electronic devices in the circuit.

Types of Resistors

  • Ohmic Resistors:

    • Do not change resistance with temperature.
    • Obey Ohm's Law.
    • Graph of voltage vs. current is a straight line.
  • Non-Ohmic Resistors:

    • Do not obey Ohm's Law.
    • Example: Light bulbs, where resistance changes with temperature.
    • Have variable resistance values.

Ohm’s Law

  • Mathematical Equation: Shows the relationship between voltage (V), current (I), and resistance (R).

    [ R = \frac{V}{I} ]

  • Symbols:

    • R = Resistance
    • V = Voltage
    • I = Current

Calculating Resistor Values

  • Resistor values can be determined by calculation or by plotting experimental data.
  • Measure the slope of the V/I graph to find resistance.

Example Calculation

  • Problem Statement: Calculate the voltage drop across a bulb with a resistance of 144 ohms and a current of 0.50 A.

Given:

  • Resistance (R): 144 Ω
  • Current (I): 0.50 A

Calculation:

  • Voltage (V) = Current (I) × Resistance (R)

[ V = 0.50 , \text{A} \times 144 , \Omega = 72 , \text{V} ]

Answer:

  • The voltage drop across the bulb is 72 volts.