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Back to Practice Questions
ElectricalBasic Electrical
PrevNext

Ohm's law is not applicable to

A

DC circuits

B

high currents

C

small resistors

D

semi-conductors

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalBasic Electrical
Option D

semi-conductors

Quick Summary:

Ohm's law states that the current flowing through a conductor is directly proportional to the voltage applied across its ends, provided physical conditions like temperature remain constant. This linear relationship (V=IRV = IRV=IR) does not hold for devices such as semiconductors, vacuum tubes, or electrolyte solutions, which exhibit non-linear voltage-current characteristics.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Ohm's law states that the current flowing through a conductor is directly proportional to the voltage applied across its ends, provided physical conditions like temperature remain constant. This linear relationship (V=IRV = IRV=IR) does not hold for devices such as semiconductors, vacuum tubes, or electrolyte solutions, which exhibit non-linear voltage-current characteristics.

ЁЯФв Key Formulas

V=IRV = IRV=IR тАФ Ohm's Law (Linear)

I=I0(eqVkTтИТ1)I = I_0(e^{\frac{qV}{kT}} - 1)I=I0тАЛ(ekTqVтАЛтИТ1) тАФ Shockley Diode Equation (Non-linear)

тЪЩя╕П Working Principle

In metallic conductors, the carrier density and scattering mechanisms remain largely constant with applied voltage. In semiconductors, however, the charge carrier concentration is temperature-dependent and governed by the exponential barrier height in p-n junctions, resulting in a non-linear IтИТVI-VIтИТV curve that violates the linear assumption of Ohm's law.

ЁЯУМ Key Points
  • тЦ╕

    Ohm's law is valid only for Ohmic conductors where the resistance is independent of the applied voltage.

  • тЦ╕

    Semiconductors like diodes and transistors have IтИТVI-VIтИТV characteristics that are exponential or logarithmic.

  • тЦ╕

    Non-ohmic devices do not maintain a constant ratio of V/IV/IV/I as the operating point changes.

  • тЦ╕

    Ohm's law is a limiting case and not a fundamental universal law of physics.

тЬЕ Advantages
  • тЦ╕

    Simplicity in analyzing DC circuits

  • тЦ╕

    Predictable power dissipation in resistive loads

тЭМ Disadvantages / Limitations
  • тЦ╕

    Cannot be used to model active components like transistors

  • тЦ╕

    Fails under varying temperature or high-frequency conditions

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    DC circuit analysis

  • тЦ╕

    Resistance measurement

  • тЦ╕

    Power system load flow studies

ЁЯУД Additional Information
  • тЦ╕

    Option A: DC circuits are typically analyzed using Ohm's law.

  • тЦ╕

    Option B & C: These relate to practical limitations of the component's thermal capacity, not a violation of the fundamental principle of the material property.

  • тЦ╕

    A device is Ohmic if its V-I graph is a straight line passing through the origin.

ЁЯУК Diagram / Illustration
Non-Ohmic I-V CharacteristicVoltage (V)Current (I)Non-Linear Device
тЬЕ

D is correct тАФ Semiconductors are non-ohmic devices because their current-voltage relationship is non-linear and governed by junction physics rather than a constant resistance.

Core Concepts Used
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Ohmic Conductors Non-linear V-I characteristics Carrier dynamics in semiconductors
ЁЯТб EXAM TIP

Always verify if a device is 'passive' or 'active' when considering Ohm's law applications; active devices like BJTs or MOSFETs are inherently non-ohmic.

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