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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalElectronics
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In a conductor, the energy gap between valence and conduction bands is _____.

A

Large

B

Very large

C

Very small

D

None of the above

Correct Answer

Concept & PrincipleElectricalElectronics
Option C

Very small

Quick Summary: In a conductor, the energy bands (valence and conduction bands) overlap, which means there is effectively no energy gap (or a zero energy gap). Because there is no forbidden gap, electrons move freely from the valence band to the conduction band under the influence of an electric field.

💡 Explanation

In a conductor, the energy bands (valence and conduction bands) overlap, which means there is effectively no energy gap (or a zero energy gap). Because there is no forbidden gap, electrons move freely from the valence band to the conduction band under the influence of an electric field.

🔢 Key Formulas

Eg=0 eVE_g = 0\text{ eV}Eg​=0 eV — Energy gap value for conductors due to band overlap.

⚙️ Working Principle

According to the Band Theory of Solids, the electrical behavior of a material is determined by the overlap of its energy bands. In conductors, the valence band and conduction band overlap, meaning electrons exist in the conduction band at 0 K0\text{ K}0 K without requiring thermal activation. This high availability of free electrons facilitates high electrical conductivity.

📌 Key Points
  • ▸

    Conductors have no forbidden energy gap.

  • ▸

    The valence band and conduction band overlap significantly.

  • ▸

    Free electrons are abundant even at absolute zero temperature.

  • ▸

    High conductivity is a direct result of the lack of a forbidden gap.

✅ Advantages
  • ▸

    Extremely high electrical conductivity.

  • ▸

    Low resistivity.

❌ Disadvantages / Limitations
  • ▸

    High susceptibility to short circuits.

  • ▸

    Cannot be used to build switching devices like transistors directly without modification.

🛠️ Applications / Uses
  • ▸

    Electrical power transmission cables.

  • ▸

    Printed circuit board (PCB) traces.

📄 Additional Information
  • ▸

    For semiconductors, the gap is typically around 1 eV1\text{ eV}1 eV (e.g., 1.1 eV1.1\text{ eV}1.1 eV for Silicon).

  • ▸

    For insulators, the gap is typically >5 eV> 5\text{ eV}>5 eV.

📊 Diagram / Illustration
Energy Band Structure: ConductorConduction BandValence BandOverlap Region (Energy Gap = 0)
✅

C is correct — Conductors exhibit an overlap between the valence and conduction bands, resulting in a forbidden energy gap of zero.

Core Concepts Used
Click any tag to open in AI Tutor
Band Theory of Solids Energy Bands Forbidden Energy Gap
💡 EXAM TIP

Remember: Insulators have large gaps (>5 eV>5\text{ eV}>5 eV), Semiconductors have small gaps (sim1 eVsim 1\text{ eV}sim1 eV), and Conductors have overlapping bands (Eg=0E_g=0Eg​=0).

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