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ElectricalElectronics
PrevNext

A large number of free electrons exist in ______.

A

Semiconductors

B

Metals

C

Insulators

D

Non-metals

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalElectronics
Option B

Metals

Quick Summary:

Metals have a large number of free electrons due to the overlapping of valence and conduction bands. These electrons are not bound to any specific atom and move freely throughout the crystal lattice, making metals excellent conductors of electricity.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Metals have a large number of free electrons due to the overlapping of valence and conduction bands. These electrons are not bound to any specific atom and move freely throughout the crystal lattice, making metals excellent conductors of electricity.

ЁЯФв Key Formulas

J=╧ГEJ = \sigma EJ=╧ГE тАФ Ohm's law in point form relating current density J, conductivity ╧Г\sigma╧Г, and electric field E

I=nAevdI = n A e v_dI=nAevdтАЛ тАФ Current equation where n is free electron density, A is cross-section, and vdv_dvdтАЛ is drift velocity

тЪЩя╕П Working Principle

In metals, the atomic orbitals of valence electrons overlap to form a continuous band structure called the conduction band. Because there is no energy gap (forbidden energy gap) between the valence band and the conduction band, thermal energy at room temperature is sufficient to excite electrons into the conduction band, facilitating high electrical conductivity.

ЁЯУМ Key Points
  • тЦ╕

    Metals possess a high electron density (order of 1028┬аelectrons/m310^{28} \text{ electrons/m}^31028┬аelectrons/m3)

  • тЦ╕

    The Fermi level in metals lies within the conduction band

  • тЦ╕

    Conductivity in metals decreases with an increase in temperature due to increased lattice scattering

  • тЦ╕

    Semiconductors have a forbidden energy gap, preventing free flow of electrons at absolute zero

тЬЕ Advantages
  • тЦ╕

    High electrical and thermal conductivity

  • тЦ╕

    Good malleability and ductility for wiring

тЭМ Disadvantages / Limitations
  • тЦ╕

    Susceptible to oxidation and corrosion

  • тЦ╕

    Conductivity decreases as temperature rises

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Electrical transmission cables

  • тЦ╕

    Electronic circuit interconnects

  • тЦ╕

    Heat sinks for cooling components

ЁЯУД Additional Information
  • тЦ╕

    In insulators, the forbidden energy gap is typically greater than 5 eV, preventing conduction.

  • тЦ╕

    In semiconductors, the energy gap is relatively small (e.g., ~1.1 eV for Silicon at 300K).

ЁЯУК Diagram / Illustration
Energy Band Diagram: MetalsValence BandConduction BandOverlappingRegion
тЬЕ

B is correct тАФ Metals exhibit a large number of free electrons due to the absence of a band gap and the overlapping of conduction and valence bands.

Core Concepts Used
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Band Theory of Solids Conduction Mechanism Free Electron Theory
ЁЯТб EXAM TIP

Remember that while semiconductors become more conductive with heat, metals become less conductive due to increased electron-phonon scattering.

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