Electrical conductivity of metals is of order

(a) 
(b) 

(c) 

(d) 

Correct Answer: (a) 

Explanation

Metals have very high conductivity due to abundant free electrons.

Notes for More Information

F1 J.P 27.6.20 Pallavi D 2

Electrical Conductivity of Metals

1.    Electrical conductivity (σ) indicates how easily a material allows electric current to flow.

2.    Metals have very high electrical conductivity because they contain a large number of free electrons.

3.    These free electrons can move easily under an electric field, allowing current to flow.


Typical Value of Conductivity of Metals

4.    The electrical conductivity of metals is typically of the order of:



5.    Good conductors like silver, copper, and gold have conductivity values in the range of:



6.    Hence, the closest order of magnitude for the conductivity of metals is:

·      Option (a) 


Why Metals Have High Conductivity

7.    In metals, valence electrons are loosely bound to atoms.

8.    These electrons form a “sea of free electrons”.

9.    Because of this, electrons can move freely when a voltage is applied.

10.                    This results in high electrical conductivity.


Comparison with Other Materials

11.                    Metals (good conductors):



12.                    Semiconductors / poor conductors:



13.                    Insulators:




Additional Information

14.                    Resistivity (ρ) is defined as the resistance of a conductor of:

·        Unit length

·        Unit cross-sectional area

15.                    The unit of resistivity is ohm-meter (Ω·m).

16.                    Higher resistivity means a poorer conductor.

17.                    Conductivity (σ) is the reciprocal of resistivity:



18.                    The unit of conductivity is ohm⁻¹ m⁻¹ or Siemens per meter (S/m).


Energy Band Explanation

19.                    In conductors (metals):

·        The valence band overlaps the conduction band.

·        Electrons move freely → high conductivity.

20.                    In semiconductors:

·        There is a small energy gap between valence and conduction bands.

·        Conductivity increases with temperature or doping.

21.                    In insulators:

·        There is a large energy gap.

·        Electrons cannot move easily → very low conductivity.


Semiconductor Conductivity

22.                    Semiconductors generally have conductivity in the range:



23.                    Intrinsic semiconductors have conductivity of the order of:




Final Answer

24.                    The electrical conductivity of metals is of the order of:



25.                    Therefore, option (a) is the correct answer.


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