Explain Ohm’s Law. What are its limitations? Differentiate between ohmic and non-ohmic conductors.

Ohm’s Law

Ohm’s Law states that the current (II) flowing through a conductor is directly proportional to the voltage (VV) across it, provided the temperature and other physical conditions remain constant.

Mathematically, it is expressed as:

V=IR

where:

  • V = Voltage (Volts, V)
  • = Current (Amperes, A)
  • = Resistance (Ohms, Ω\Omega)

Limitations of Ohm’s Law

Ohm’s Law is not universally applicable. Some of its limitations include:

  1. Temperature Dependence

    • Ohm’s Law holds only when the temperature remains constant.
    • In many materials, resistance changes with temperature (e.g., metals increase resistance at higher temperatures).
  2. Non-Linear Conductors

    • Some materials (e.g., semiconductors, diodes, transistors) do not follow Ohm’s Law.
    • Their V−I graphs are non-linear.
  3. High Voltage or Strong Electric Fields

    • In gases and vacuum tubes, Ohm’s Law does not hold under strong electric fields.
  4. Superconductors

    • Superconductors have zero resistance below a critical temperature, violating Ohm’s Law.

Ohmic vs. Non-Ohmic Conductors

Aspect Ohmic Conductors Non-Ohmic Conductors
Definition Materials that obey Ohm’s Law (V=IR). Materials that do not obey Ohm’s Law (non-linear V−I relationship).
Graph Linear V−I graph (straight line). Non-linear V−I graph (curved or exponential).
Examples Metals (copper, silver, iron), resistors. Diodes, transistors, semiconductors, filament bulbs.
Resistance Constant with applied voltage. Varies with applied voltage or temperature.

Conclusion

Ohm’s Law is fundamental in electrical circuits but does not apply to all materials. Conductors are classified as ohmic if they follow Ohm’s Law and non-ohmic if they do not.